Sepestanaki, Mohammadreza Askari; Soofi, Mohammad; Barhaghtalab, Mojtaba Hadi; Bahmani, Hamidreza; Mobayen, Saleh; Jalilvand, Abolfazl Adaptive barrier function-based fractional-order chattering-free finite-time control for uncertain chaotic systems. (English) Zbl 07789834 Math. Methods Appl. Sci. 46, No. 16, 17345-17366 (2023). MSC: 93C40 93D40 93C15 34A08 93B12 34H10 PDFBibTeX XMLCite \textit{M. A. Sepestanaki} et al., Math. Methods Appl. Sci. 46, No. 16, 17345--17366 (2023; Zbl 07789834) Full Text: DOI
Lin, Funing; Su, Guangwang; Ji, Quanbao; Tang, Zongqiao; Fu, Jun Fuzzy sliding-mode control of fractional-order chaotic systems subject to uncertain control coefficients and input saturation. (English) Zbl 1508.93189 Fractals 30, No. 10, Article ID 2240237, 18 p. (2022). MSC: 93C42 93B12 34H10 34A08 93C10 PDFBibTeX XMLCite \textit{F. Lin} et al., Fractals 30, No. 10, Article ID 2240237, 18 p. (2022; Zbl 1508.93189) Full Text: DOI
Shirkavand, Mehrdad; Pourgholi, Mahdi; Yazdizadeh, Alireza Robust global fixed-time synchronization of different dimensions fractional-order chaotic systems. (English) Zbl 1498.34043 Chaos Solitons Fractals 154, Article ID 111616, 11 p. (2022). MSC: 34A08 34D06 PDFBibTeX XMLCite \textit{M. Shirkavand} et al., Chaos Solitons Fractals 154, Article ID 111616, 11 p. (2022; Zbl 1498.34043) Full Text: DOI
Ren, Junchao; Sun, Jie; Fu, Jun Finite-time event-triggered sliding mode control for one-sided Lipschitz nonlinear systems with uncertainties. (English) Zbl 1516.93027 Nonlinear Dyn. 103, No. 1, 865-882 (2021). MSC: 93B12 93C10 93C55 93C65 90C25 PDFBibTeX XMLCite \textit{J. Ren} et al., Nonlinear Dyn. 103, No. 1, 865--882 (2021; Zbl 1516.93027) Full Text: DOI
Li, Haoyu; Wang, Leimin; Lai, Qiang Synchronization of a memristor chaotic system and image encryption. (English) Zbl 1485.93109 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 16, Article ID 2150251, 18 p. (2021). MSC: 93B12 93D40 94A08 94A60 PDFBibTeX XMLCite \textit{H. Li} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 16, Article ID 2150251, 18 p. (2021; Zbl 1485.93109) Full Text: DOI
Yousefpour, Amin; Jahanshahi, Hadi; Munoz-Pacheco, Jesus M.; Bekiros, Stelios; Wei, Zhouchao A fractional-order hyper-chaotic economic system with transient chaos. (English) Zbl 1489.91150 Chaos Solitons Fractals 130, Article ID 109400, 12 p. (2020). MSC: 91B55 37N40 37N35 34A08 68T07 PDFBibTeX XMLCite \textit{A. Yousefpour} et al., Chaos Solitons Fractals 130, Article ID 109400, 12 p. (2020; Zbl 1489.91150) Full Text: DOI
Chen, Yun; Xu, Yanyi; Lin, Qian; Zhang, Xiyong Model and criteria on the global finite-time synchronization of the chaotic gyrostat systems. (English) Zbl 1523.34064 Math. Comput. Simul. 178, 515-533 (2020). MSC: 34H05 34D06 93B52 PDFBibTeX XMLCite \textit{Y. Chen} et al., Math. Comput. Simul. 178, 515--533 (2020; Zbl 1523.34064) Full Text: DOI
Balamash, A. S.; Bettayeb, M.; Djennoune, S.; Al-Saggaf, U. M.; Moinuddin, M. Fixed-time terminal synergetic observer for synchronization of fractional-order chaotic systems. (English) Zbl 1445.34010 Chaos 30, No. 7, 073124, 16 p. (2020). MSC: 34A08 34D06 34C28 37C70 34H05 PDFBibTeX XMLCite \textit{A. S. Balamash} et al., Chaos 30, No. 7, 073124, 16 p. (2020; Zbl 1445.34010) Full Text: DOI
Han, Seongik Fractional-order command filtered backstepping sliding mode control with fractional-order nonlinear disturbance observer for nonlinear systems. (English) Zbl 1447.93037 J. Franklin Inst. 357, No. 11, 6760-6776 (2020). MSC: 93B12 93B53 93C10 26A33 PDFBibTeX XMLCite \textit{S. Han}, J. Franklin Inst. 357, No. 11, 6760--6776 (2020; Zbl 1447.93037) Full Text: DOI
Wu, Xifen; Bao, Haibo Finite time complete synchronization for fractional-order multiplex networks. (English) Zbl 1508.93268 Appl. Math. Comput. 377, Article ID 125188, 17 p. (2020). MSC: 93D40 34A08 34D06 93B12 93B52 93A14 PDFBibTeX XMLCite \textit{X. Wu} and \textit{H. Bao}, Appl. Math. Comput. 377, Article ID 125188, 17 p. (2020; Zbl 1508.93268) Full Text: DOI
Hu, Taotao; He, Zheng; Zhang, Xiaojun; Zhong, Shouming Finite-time stability for fractional-order complex-valued neural networks with time delay. (English) Zbl 1433.34097 Appl. Math. Comput. 365, Article ID 124715, 17 p. (2020). MSC: 34K20 92B20 34A08 93E15 34K37 PDFBibTeX XMLCite \textit{T. Hu} et al., Appl. Math. Comput. 365, Article ID 124715, 17 p. (2020; Zbl 1433.34097) Full Text: DOI
Mohammadzadeh, Ardashir; Zhang, Weidong Dynamic programming strategy based on a type-2 fuzzy wavelet neural network. (English) Zbl 1439.92018 Nonlinear Dyn. 95, No. 2, 1661-1672 (2019). MSC: 92B20 90C39 93C42 PDFBibTeX XMLCite \textit{A. Mohammadzadeh} and \textit{W. Zhang}, Nonlinear Dyn. 95, No. 2, 1661--1672 (2019; Zbl 1439.92018) Full Text: DOI
Sabzalian, Mohammad Hosein; Mohammadzadeh, Ardashir; Lin, Shuyi; Zhang, Weidong Robust fuzzy control for fractional-order systems with estimated fraction-order. (English) Zbl 1430.93129 Nonlinear Dyn. 98, No. 3, 2375-2385 (2019); correction 98, No. 3, 2387 (2019). MSC: 93C42 93B35 26A33 PDFBibTeX XMLCite \textit{M. H. Sabzalian} et al., Nonlinear Dyn. 98, No. 3, 2375--2385 (2019; Zbl 1430.93129) Full Text: DOI
Ouannas, Adel; Odibat, Zaid; Alsaedi, Ahmed; Hobiny, Aatef; Hayat, Tasawar Investigation of Q-S synchronization in coupled chaotic incommensurate fractional order systems. (English) Zbl 07820697 Chin. J. Phys., Taipei 56, No. 5, 1940-1948 (2018). MSC: 37Dxx 34Axx 34Dxx PDFBibTeX XMLCite \textit{A. Ouannas} et al., Chin. J. Phys., Taipei 56, No. 5, 1940--1948 (2018; Zbl 07820697) Full Text: DOI
Deepika, Deepika; Kaur, Sandeep; Narayan, Shiv Uncertainty and disturbance estimator based robust synchronization for a class of uncertain fractional chaotic system via fractional order sliding mode control. (English) Zbl 1416.93123 Chaos Solitons Fractals 115, 196-203 (2018). MSC: 93C41 93E10 34H10 93C10 PDFBibTeX XMLCite \textit{D. Deepika} et al., Chaos Solitons Fractals 115, 196--203 (2018; Zbl 1416.93123) Full Text: DOI
Golestani, Mehdi; Mobayen, Saleh; Richter, Hanz Fast robust adaptive tracker for uncertain nonlinear second-order systems with time-varying uncertainties and unknown parameters. (English) Zbl 1407.93168 Int. J. Adapt. Control Signal Process. 32, No. 12, 1764-1781 (2018). MSC: 93C40 93B35 93C41 93C10 93B12 93D05 93D09 PDFBibTeX XMLCite \textit{M. Golestani} et al., Int. J. Adapt. Control Signal Process. 32, No. 12, 1764--1781 (2018; Zbl 1407.93168) Full Text: DOI
Shirkavand, Mehrdad; Pourgholi, Mahdi Robust fixed-time synchronization of fractional order chaotic using free chattering nonsingular adaptive fractional sliding mode controller design. (English) Zbl 1404.93016 Chaos Solitons Fractals 113, 135-147 (2018). MSC: 93C15 93C40 93C42 34H10 34A08 PDFBibTeX XMLCite \textit{M. Shirkavand} and \textit{M. Pourgholi}, Chaos Solitons Fractals 113, 135--147 (2018; Zbl 1404.93016) Full Text: DOI
Mobayen, Saleh Design of novel adaptive sliding mode controller for perturbed Chameleon hidden chaotic flow. (English) Zbl 1398.93277 Nonlinear Dyn. 92, No. 4, 1539-1553 (2018). MSC: 93D05 34H10 PDFBibTeX XMLCite \textit{S. Mobayen}, Nonlinear Dyn. 92, No. 4, 1539--1553 (2018; Zbl 1398.93277) Full Text: DOI
Luo, Shaohua; Li, Shaobo; Tajaddodianfar, Farid Adaptive chaos control of the fractional-order arch MEMS resonator. (English) Zbl 1390.34197 Nonlinear Dyn. 91, No. 1, 539-547 (2018). MSC: 34H10 93C40 37D45 34A08 93D30 PDFBibTeX XMLCite \textit{S. Luo} et al., Nonlinear Dyn. 91, No. 1, 539--547 (2018; Zbl 1390.34197) Full Text: DOI
Zhu, Huijian; Zeng, Caibin A novel chaotification scheme for fractional system and its application. (English) Zbl 1395.34012 J. Comput. Appl. Math. 339, 275-284 (2018). Reviewer: Thanin Sitthiwirattham (Bangkok) MSC: 34A08 34C28 37D45 34D45 PDFBibTeX XMLCite \textit{H. Zhu} and \textit{C. Zeng}, J. Comput. Appl. Math. 339, 275--284 (2018; Zbl 1395.34012) Full Text: DOI
Luo, Runzi; Su, Haipeng Finite-time control and synchronization of a class of systems via the twisting controller. (English) Zbl 07815514 Chin. J. Phys., Taipei 55, No. 6, 2199-2207 (2017). MSC: 93Cxx 93Bxx 37Dxx PDFBibTeX XMLCite \textit{R. Luo} and \textit{H. Su}, Chin. J. Phys., Taipei 55, No. 6, 2199--2207 (2017; Zbl 07815514) Full Text: DOI
Ouannas, Adel; Azar, Ahmad Taher; Ziar, Toufik; Radwan, Ahmed G. Generalized synchronization of different dimensional integer-order and fractional order chaotic systems. (English) Zbl 1408.34040 Azar, Ahmad Taher (ed.) et al., Fractional order control and synchronization of chaotic systems. Cham: Springer. Stud. Comput. Intell. 688, 671-697 (2017). MSC: 34D06 34A08 34A34 34C28 34H05 PDFBibTeX XMLCite \textit{A. Ouannas} et al., Stud. Comput. Intell. 688, 671--697 (2017; Zbl 1408.34040) Full Text: DOI
Ouannas, Adel; Azar, Ahmad Taher; Ziar, Toufik; Radwan, Ahmed G. A study on coexistence of different types of synchronization between different dimensional fractional chaotic systems. (English) Zbl 1410.34151 Azar, Ahmad Taher (ed.) et al., Fractional order control and synchronization of chaotic systems. Cham: Springer. Stud. Comput. Intell. 688, 637-669 (2017). MSC: 34D06 34A08 93C10 34A34 34C28 34D20 PDFBibTeX XMLCite \textit{A. Ouannas} et al., Stud. Comput. Intell. 688, 637--669 (2017; Zbl 1410.34151) Full Text: DOI
Ouannas, Adel; Ziar, Toufik; Azar, Ahmad Taher; Vaidyanathan, Sundarapandian A new method to synchronize fractional chaotic systems with different dimensions. (English) Zbl 1410.34154 Azar, Ahmad Taher (ed.) et al., Fractional order control and synchronization of chaotic systems. Cham: Springer. Stud. Comput. Intell. 688, 581-611 (2017). MSC: 34D06 34A08 34A34 34C28 PDFBibTeX XMLCite \textit{A. Ouannas} et al., Stud. Comput. Intell. 688, 581--611 (2017; Zbl 1410.34154) Full Text: DOI
Ouannas, Adel; Azar, Ahmad Taher; Ziar, Toufik; Vaidyanathan, Sundarapandian Fractional inverse generalized chaos synchronization between different dimensional systems. (English) Zbl 1410.34153 Azar, Ahmad Taher (ed.) et al., Fractional order control and synchronization of chaotic systems. Cham: Springer. Stud. Comput. Intell. 688, 525-551 (2017). MSC: 34D06 34A08 34A34 34D20 34H05 PDFBibTeX XMLCite \textit{A. Ouannas} et al., Stud. Comput. Intell. 688, 525--551 (2017; Zbl 1410.34153) Full Text: DOI
Ouannas, Adel; Azar, Ahmad Taher; Ziar, Toufik; Vaidyanathan, Sundarapandian On new fractional inverse matrix projective synchronization schemes. (English) Zbl 1410.34152 Azar, Ahmad Taher (ed.) et al., Fractional order control and synchronization of chaotic systems. Cham: Springer. Stud. Comput. Intell. 688, 497-524 (2017). MSC: 34D06 34A34 34C28 34H05 PDFBibTeX XMLCite \textit{A. Ouannas} et al., Stud. Comput. Intell. 688, 497--524 (2017; Zbl 1410.34152) Full Text: DOI
Saxena, Anchan; Tandon, Apeksha; Saxena, Awadhi; Rana, K. P. S.; Kumar, Vineet On the terminal full order sliding mode control of uncertain chaotic systems. (English) Zbl 1407.93091 Azar, Ahmad Taher (ed.) et al., Fractional order control and synchronization of chaotic systems. Cham: Springer. Stud. Comput. Intell. 688, 387-430 (2017). MSC: 93B12 34H10 34A08 93C41 PDFBibTeX XMLCite \textit{A. Saxena} et al., Stud. Comput. Intell. 688, 387--430 (2017; Zbl 1407.93091) Full Text: DOI
Han, Jianxin; Zhang, Qichang; Wang, Wei; Jin, Gang; Qi, Houjun; Li, Qiu Chaos suppression of an electrically actuated microresonator based on fractional-order nonsingular fast terminal sliding mode control. (English) Zbl 1426.93108 Math. Probl. Eng. 2017, Article ID 6564316, 12 p. (2017). MSC: 93C15 93B12 34A08 34H10 PDFBibTeX XMLCite \textit{J. Han} et al., Math. Probl. Eng. 2017, Article ID 6564316, 12 p. (2017; Zbl 1426.93108) Full Text: DOI
Song, Xiaona; Song, Shuai; Balsera, Ines Tejado; Liu, Leipo; Zhang, Lei Synchronization of two fractional-order chaotic systems via nonsingular terminal fuzzy sliding mode control. (English) Zbl 1400.93053 J. Control Sci. Eng. 2017, Article ID 9562818, 11 p. (2017). MSC: 93B12 93C42 93B35 34A08 93D05 34H10 PDFBibTeX XMLCite \textit{X. Song} et al., J. Control Sci. Eng. 2017, Article ID 9562818, 11 p. (2017; Zbl 1400.93053) Full Text: DOI
Al-Saggaf, Ubaid Muhsen; Bettayeb, Maamar; Djennoune, Said Super-twisting algorithm-based sliding-mode observer for synchronization of nonlinear incommensurate fractional-order chaotic systems subject to unknown inputs. (English) Zbl 1390.34194 Arab. J. Sci. Eng. 42, No. 7, 3065-3075 (2017). MSC: 34H10 34D06 34A08 37D45 93B07 93B12 PDFBibTeX XMLCite \textit{U. M. Al-Saggaf} et al., Arab. J. Sci. Eng. 42, No. 7, 3065--3075 (2017; Zbl 1390.34194) Full Text: DOI
Aghababa, Mohammad Pourmahmood Stabilization of a class of fractional-order chaotic systems using a non-smooth control methodology. (English) Zbl 1384.34074 Nonlinear Dyn. 89, No. 2, 1357-1370 (2017); correction ibid. 90, No. 4, 2989-2990 (2017). MSC: 34H10 34A08 37D45 PDFBibTeX XMLCite \textit{M. P. Aghababa}, Nonlinear Dyn. 89, No. 2, 1357--1370 (2017; Zbl 1384.34074) Full Text: DOI
de Freitas Virgílio Pereira, Mateus; Balthazar, José Manoel; dos Santos, Davi Antônio; Tusset, Angelo Marcelo; Ferreira de Castro, Davi; Acampora Prado, Igor Afonso A note on polynomial chaos expansions for designing a linear feedback control for nonlinear systems. (English) Zbl 1384.93158 Nonlinear Dyn. 87, No. 3, 1653-1666 (2017). MSC: 93E20 93C10 93B52 37D45 34D06 93D20 34D23 PDFBibTeX XMLCite \textit{M. de Freitas Virgílio Pereira} et al., Nonlinear Dyn. 87, No. 3, 1653--1666 (2017; Zbl 1384.93158) Full Text: DOI
Luo, Shaohua; Li, Shaobo; Tajaddodianfar, Farid Chaos and adaptive control of the fractional-order magnetic-field electromechanical transducer. (English) Zbl 1379.93063 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 13, Article ID 1750203, 9 p. (2017). MSC: 93C40 92B20 93D20 93C15 34A08 PDFBibTeX XMLCite \textit{S. Luo} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 13, Article ID 1750203, 9 p. (2017; Zbl 1379.93063) Full Text: DOI
Ni, Junkang; Liu, Ling; Liu, Chongxin; Hu, Xiaoyu Fractional order fixed-time nonsingular terminal sliding mode synchronization and control of fractional order chaotic systems. (English) Zbl 1375.34010 Nonlinear Dyn. 89, No. 3, 2065-2083 (2017). MSC: 34A08 34D06 37D45 PDFBibTeX XMLCite \textit{J. Ni} et al., Nonlinear Dyn. 89, No. 3, 2065--2083 (2017; Zbl 1375.34010) Full Text: DOI
Mohammadzadeh, Ardashir; Ghaemi, Sehraneh Synchronization of uncertain fractional-order hyperchaotic systems by using a new self-evolving non-singleton type-2 fuzzy neural network and its application to secure communication. (English) Zbl 1373.34013 Nonlinear Dyn. 88, No. 1, 1-19 (2017). MSC: 34A08 34D06 37D45 93B36 93B52 68T05 90C25 PDFBibTeX XMLCite \textit{A. Mohammadzadeh} and \textit{S. Ghaemi}, Nonlinear Dyn. 88, No. 1, 1--19 (2017; Zbl 1373.34013) Full Text: DOI
Lü, Ling; Li, Chengren; Li, Gang; Zhao, Guannan Projective synchronization for uncertain network based on modified sliding mode control technique. (English) Zbl 1362.93031 Int. J. Adapt. Control Signal Process. 31, No. 3, 429-440 (2017). MSC: 93B12 93C41 93C10 93C15 PDFBibTeX XMLCite \textit{L. Lü} et al., Int. J. Adapt. Control Signal Process. 31, No. 3, 429--440 (2017; Zbl 1362.93031) Full Text: DOI
Ouannas, Adel; Azar, Ahmad Taher; Vaidyanathan, Sundarapandian A robust method for new fractional hybrid chaos synchronization. (English) Zbl 1359.93025 Math. Methods Appl. Sci. 40, No. 5, 1804-1812 (2017). MSC: 93A14 93C15 93D30 93D05 34A08 34D06 34H15 26A33 PDFBibTeX XMLCite \textit{A. Ouannas} et al., Math. Methods Appl. Sci. 40, No. 5, 1804--1812 (2017; Zbl 1359.93025) Full Text: DOI
Lü, Ling; Chen, Liansong; Bai, Suyuan; Li, Gang A new synchronization tracking technique for uncertain discrete network with spatiotemporal chaos behaviors. (English) Zbl 1400.93176 Physica A 460, 314-325 (2016). MSC: 93C55 93A14 93B12 93C40 37N35 PDFBibTeX XMLCite \textit{L. Lü} et al., Physica A 460, 314--325 (2016; Zbl 1400.93176) Full Text: DOI
Wang, Bin; Yin, Lin; Wang, Shaojie; Miao, Shirui; Du, Tantan; Zuo, Chao Finite time control for fractional order nonlinear hydroturbine governing system via frequency distributed model. (English) Zbl 1400.93179 Adv. Math. Phys. 2016, Article ID 7345325, 9 p. (2016). MSC: 93C55 93C10 34A08 93D05 93C95 PDFBibTeX XMLCite \textit{B. Wang} et al., Adv. Math. Phys. 2016, Article ID 7345325, 9 p. (2016; Zbl 1400.93179) Full Text: DOI
Ni, Junkang; Liu, Ling; Liu, Chongxin; Hu, Xiaoyu Chattering-free time scale separation sliding mode control design with application to power system chaos suppression. (English) Zbl 1400.93109 Math. Probl. Eng. 2016, Article ID 5943934, 14 p. (2016). MSC: 93C15 34H10 93B12 93C40 93C10 PDFBibTeX XMLCite \textit{J. Ni} et al., Math. Probl. Eng. 2016, Article ID 5943934, 14 p. (2016; Zbl 1400.93109) Full Text: DOI
Khanzadeh, Alireza; Pourgholi, Mahdi Robust synchronization of fractional-order chaotic systems at a pre-specified time using sliding mode controller with time-varying switching surfaces. (English) Zbl 1372.93111 Chaos Solitons Fractals 91, 69-77 (2016). MSC: 93C23 34K23 34D06 34K60 PDFBibTeX XMLCite \textit{A. Khanzadeh} and \textit{M. Pourgholi}, Chaos Solitons Fractals 91, 69--77 (2016; Zbl 1372.93111) Full Text: DOI
Khanzadeh, Alireza; Pourgholi, Mahdi A novel continuous time-varying sliding mode controller for robustly synchronizing non-identical fractional-order chaotic systems precisely at any arbitrary pre-specified time. (English) Zbl 1349.93308 Nonlinear Dyn. 86, No. 1, 543-558 (2016). MSC: 93D05 34D06 34A08 37D45 34H10 PDFBibTeX XMLCite \textit{A. Khanzadeh} and \textit{M. Pourgholi}, Nonlinear Dyn. 86, No. 1, 543--558 (2016; Zbl 1349.93308) Full Text: DOI
Wang, Bin; Ding, Junling; Wu, Fengjiao; Zhu, Delan Robust finite-time control of fractional-order nonlinear systems via frequency distributed model. (English) Zbl 1349.93345 Nonlinear Dyn. 85, No. 4, 2133-2142 (2016). MSC: 93D21 34A08 93C80 93C10 93D20 PDFBibTeX XMLCite \textit{B. Wang} et al., Nonlinear Dyn. 85, No. 4, 2133--2142 (2016; Zbl 1349.93345) Full Text: DOI
Matouk, A. E.; Elsadany, A. A. Dynamical analysis, stabilization and discretization of a chaotic fractional-order GLV model. (English) Zbl 1349.34016 Nonlinear Dyn. 85, No. 3, 1597-1612 (2016). MSC: 34A08 37N25 92D25 37D45 37G10 PDFBibTeX XMLCite \textit{A. E. Matouk} and \textit{A. A. Elsadany}, Nonlinear Dyn. 85, No. 3, 1597--1612 (2016; Zbl 1349.34016) Full Text: DOI
Maheri, Mahmoud; Arifin, Norihan Md. Synchronization of two different fractional-order chaotic systems with unknown parameters using a robust adaptive nonlinear controller. (English) Zbl 1355.93165 Nonlinear Dyn. 85, No. 2, 825-838 (2016). MSC: 93D21 34D06 34A08 93C40 37D45 93D05 PDFBibTeX XMLCite \textit{M. Maheri} and \textit{N. Md. Arifin}, Nonlinear Dyn. 85, No. 2, 825--838 (2016; Zbl 1355.93165) Full Text: DOI Link
Aghababa, Mohammad Pourmahmood A fractional sliding mode for finite-time control scheme with application to stabilization of electrostatic and electromechanical transducers. (English) Zbl 1443.93004 Appl. Math. Modelling 39, No. 20, 6103-6113 (2015). MSC: 93-10 93B12 PDFBibTeX XMLCite \textit{M. P. Aghababa}, Appl. Math. Modelling 39, No. 20, 6103--6113 (2015; Zbl 1443.93004) Full Text: DOI
Zhong, Guoliang; Deng, Hua; Li, Junfeng Chattering-free variable structure controller design via fractional calculus approach and its application. (English) Zbl 1347.93132 Nonlinear Dyn. 81, No. 1-2, 679-694 (2015): retraction ibid. 100, 541 (2020). MSC: 93B51 34A08 93C10 PDFBibTeX XMLCite \textit{G. Zhong} et al., Nonlinear Dyn. 81, No. 1--2, 679--694 (2015; Zbl 1347.93132) Full Text: DOI
Chen, Liping; Wu, Ranchao; He, Yigang; Chai, Yi Adaptive sliding-mode control for fractional-order uncertain linear systems with nonlinear disturbances. (English) Zbl 1345.93086 Nonlinear Dyn. 80, No. 1-2, 51-58 (2015). MSC: 93C40 93C10 93C15 93C41 93D09 37M05 37N35 34A08 PDFBibTeX XMLCite \textit{L. Chen} et al., Nonlinear Dyn. 80, No. 1--2, 51--58 (2015; Zbl 1345.93086) Full Text: DOI
Aghababa, Mohammad Pourmahmood Synchronization and stabilization of fractional second-order nonlinear complex systems. (English) Zbl 1345.93066 Nonlinear Dyn. 80, No. 4, 1731-1744 (2015). MSC: 93C10 93A15 34A08 34H10 34H15 37M05 37N35 65L06 PDFBibTeX XMLCite \textit{M. P. Aghababa}, Nonlinear Dyn. 80, No. 4, 1731--1744 (2015; Zbl 1345.93066) Full Text: DOI
Xin, Baogui; Zhang, Jinyi Finite-time stabilizing a fractional-order chaotic financial system with market confidence. (English) Zbl 1345.91024 Nonlinear Dyn. 79, No. 2, 1399-1409 (2015). MSC: 91B55 93D15 34H10 34A08 37M05 37N40 PDFBibTeX XMLCite \textit{B. Xin} and \textit{J. Zhang}, Nonlinear Dyn. 79, No. 2, 1399--1409 (2015; Zbl 1345.91024) Full Text: DOI
Majidabad, Sajjad Shoja; Shandiz, Heydar Toosian; Hajizadeh, Amin Nonlinear fractional-order power system stabilizer for multi-machine power systems based on sliding mode technique. (English) Zbl 1317.93067 Int. J. Robust Nonlinear Control 25, No. 10, 1548-1568 (2015). MSC: 93B12 93D21 PDFBibTeX XMLCite \textit{S. S. Majidabad} et al., Int. J. Robust Nonlinear Control 25, No. 10, 1548--1568 (2015; Zbl 1317.93067) Full Text: DOI
Tian, Xiaomin Adaptive synchronization between fractional-order chaotic real and complex systems with unknown parameters. (English) Zbl 1419.93048 Discrete Dyn. Nat. Soc. 2014, Article ID 484039, 11 p. (2014). MSC: 93D15 PDFBibTeX XMLCite \textit{X. Tian}, Discrete Dyn. Nat. Soc. 2014, Article ID 484039, 11 p. (2014; Zbl 1419.93048) Full Text: DOI
Yongguang, Ma; Zijian, Dong Finite-time adaptive synchronization of a new hyperchaotic system with uncertain parameters. (English) Zbl 1407.37056 Math. Probl. Eng. 2014, Article ID 162739, 7 p. (2014). MSC: 37D45 34C28 34D06 34H10 PDFBibTeX XMLCite \textit{M. Yongguang} and \textit{D. Zijian}, Math. Probl. Eng. 2014, Article ID 162739, 7 p. (2014; Zbl 1407.37056) Full Text: DOI
Chen, Yun; Shi, Zhangsong; Lin, Chunsheng Some criteria for the global finite-time synchronization of two Lorenz-stenflo systems coupled by a new controller. (English) Zbl 1449.37062 Appl. Math. Modelling 38, No. 15-16, 4076-4085 (2014). MSC: 37N35 34D06 93B12 93C10 PDFBibTeX XMLCite \textit{Y. Chen} et al., Appl. Math. Modelling 38, No. 15--16, 4076--4085 (2014; Zbl 1449.37062) Full Text: DOI
Shen, Jun; Lam, James Non-existence of finite-time stable equilibria in fractional-order nonlinear systems. (English) Zbl 1364.93690 Automatica 50, No. 2, 547-551 (2014). MSC: 93D20 93C15 34A08 93C10 PDFBibTeX XMLCite \textit{J. Shen} and \textit{J. Lam}, Automatica 50, No. 2, 547--551 (2014; Zbl 1364.93690) Full Text: DOI
Aghababa, Mohammad Pourmahmood; Aghababa, Hasan Pourmahmood Stabilization of gyrostat system with dead-zone nonlinearity in control input. (English) Zbl 1348.93209 J. Vib. Control 20, No. 15, 2378-2388 (2014). MSC: 93D05 93D30 93C40 70E05 PDFBibTeX XMLCite \textit{M. P. Aghababa} and \textit{H. P. Aghababa}, J. Vib. Control 20, No. 15, 2378--2388 (2014; Zbl 1348.93209) Full Text: DOI
Aghababa, Mohammad Pourmahmood A Lyapunov-based control scheme for robust stabilization of fractional chaotic systems. (English) Zbl 1345.93123 Nonlinear Dyn. 78, No. 3, 2129-2140 (2014). MSC: 93D09 93C10 93C41 34A08 34C28 34H10 34C60 PDFBibTeX XMLCite \textit{M. P. Aghababa}, Nonlinear Dyn. 78, No. 3, 2129--2140 (2014; Zbl 1345.93123) Full Text: DOI
Majidabad, Sajjad Shoja; Shandiz, Heydar Toosian; Hajizadeh, Amin Decentralized sliding mode control of fractional-order large-scale nonlinear systems. (English) Zbl 1314.93057 Nonlinear Dyn. 77, No. 1-2, 119-134 (2014). MSC: 93B12 93A15 93D21 34A08 70Q05 PDFBibTeX XMLCite \textit{S. S. Majidabad} et al., Nonlinear Dyn. 77, No. 1--2, 119--134 (2014; Zbl 1314.93057) Full Text: DOI
Aghababa, Mohammad Pourmahmood A switching fractional calculus-based controller for normal non-linear dynamical systems. (English) Zbl 1282.93138 Nonlinear Dyn. 75, No. 3, 577-588 (2014). MSC: 93C10 26A33 93C15 PDFBibTeX XMLCite \textit{M. P. Aghababa}, Nonlinear Dyn. 75, No. 3, 577--588 (2014; Zbl 1282.93138) Full Text: DOI
Aghababa, Mohammad Pourmahmood Adaptive control for electromechanical systems considering dead-zone phenomenon. (English) Zbl 1281.70029 Nonlinear Dyn. 75, No. 1-2, 157-174 (2014). MSC: 70Q05 93C40 34D06 70E05 PDFBibTeX XMLCite \textit{M. P. Aghababa}, Nonlinear Dyn. 75, No. 1--2, 157--174 (2014; Zbl 1281.70029) Full Text: DOI
Xu, Yong; Wang, Hua Synchronization of fractional-order chaotic systems with Gaussian fluctuation by sliding mode control. (English) Zbl 1421.93135 Abstr. Appl. Anal. 2013, Article ID 948782, 7 p. (2013). MSC: 93D99 34D06 37D45 93B12 93C15 34A08 PDFBibTeX XMLCite \textit{Y. Xu} and \textit{H. Wang}, Abstr. Appl. Anal. 2013, Article ID 948782, 7 p. (2013; Zbl 1421.93135) Full Text: DOI arXiv
Cheng, S.; Ji, J. C.; Zhou, J. Fast synchronization of directionally coupled chaotic systems. (English) Zbl 1349.34244 Appl. Math. Modelling 37, No. 1-2, 127-136 (2013). MSC: 34H10 34D06 93A14 PDFBibTeX XMLCite \textit{S. Cheng} et al., Appl. Math. Modelling 37, No. 1--2, 127--136 (2013; Zbl 1349.34244) Full Text: DOI
Aghababa, Mohammad Pourmahmood Design of a chatter-free terminal sliding mode controller for nonlinear fractional-order dynamical systems. (English) Zbl 1312.93028 Int. J. Control 86, No. 10, 1744-1756 (2013). MSC: 93B12 93C10 34A08 93D05 PDFBibTeX XMLCite \textit{M. P. Aghababa}, Int. J. Control 86, No. 10, 1744--1756 (2013; Zbl 1312.93028) Full Text: DOI
Lu, Junguo; Ma, Yingdong; Chen, Weidong Maximal perturbation bounds for robust stabilizability of fractional-order systems with norm bounded perturbations. (English) Zbl 1293.93657 J. Franklin Inst. 350, No. 10, 3365-3383 (2013). MSC: 93D21 93C73 34A08 93D15 PDFBibTeX XMLCite \textit{J. Lu} et al., J. Franklin Inst. 350, No. 10, 3365--3383 (2013; Zbl 1293.93657) Full Text: DOI
Shi, Bao; Yuan, Jian; Dong, Chao Pseudo-state sliding mode control of fractional SISO nonlinear systems. (English) Zbl 1291.93224 Adv. Math. Phys. 2013, Article ID 918383, 7 p. (2013). MSC: 93C95 34A08 PDFBibTeX XMLCite \textit{B. Shi} et al., Adv. Math. Phys. 2013, Article ID 918383, 7 p. (2013; Zbl 1291.93224) Full Text: DOI
Aghababa, Mohammad Pourmahmood No-chatter variable structure control for fractional nonlinear complex systems. (English) Zbl 1281.93028 Nonlinear Dyn. 73, No. 4, 2329-2342 (2013). MSC: 93B12 26A33 34A08 93D05 PDFBibTeX XMLCite \textit{M. P. Aghababa}, Nonlinear Dyn. 73, No. 4, 2329--2342 (2013; Zbl 1281.93028) Full Text: DOI
Aghababa, Mohammad Pourmahmood A novel terminal sliding mode controller for a class of non-autonomous fractional-order systems. (English) Zbl 1281.93045 Nonlinear Dyn. 73, No. 1-2, 679-688 (2013). MSC: 93B51 93D05 26A33 93B35 PDFBibTeX XMLCite \textit{M. P. Aghababa}, Nonlinear Dyn. 73, No. 1--2, 679--688 (2013; Zbl 1281.93045) Full Text: DOI
Lü, Ling; Yu, Miao; Li, Chengren; Liu, Shuo; Yan, Bingbing; Chang, Huan; Zhou, Jianan; Liu, Ye Projective synchronization of a class of complex network based on high-order sliding mode control. (English) Zbl 1281.34092 Nonlinear Dyn. 73, No. 1-2, 411-416 (2013). MSC: 34D06 34C28 PDFBibTeX XMLCite \textit{L. Lü} et al., Nonlinear Dyn. 73, No. 1--2, 411--416 (2013; Zbl 1281.34092) Full Text: DOI
Aghababa, Mohammad Pourmahmood; Aghababa, Hasan Pourmahmood Robust synchronization of a chaotic mechanical system with nonlinearities in control inputs. (English) Zbl 1281.34062 Nonlinear Dyn. 73, No. 1-2, 363-376 (2013). MSC: 34C28 34D06 93D21 70E60 65L20 PDFBibTeX XMLCite \textit{M. P. Aghababa} and \textit{H. P. Aghababa}, Nonlinear Dyn. 73, No. 1--2, 363--376 (2013; Zbl 1281.34062) Full Text: DOI
Ma, Shao-Juan; Shen, Qiong; Hou, Jing Modified projective synchronization of stochastic fractional order chaotic systems with uncertain parameters. (English) Zbl 1281.34095 Nonlinear Dyn. 73, No. 1-2, 93-100 (2013). MSC: 34D06 34C28 34A08 93E03 PDFBibTeX XMLCite \textit{S.-J. Ma} et al., Nonlinear Dyn. 73, No. 1--2, 93--100 (2013; Zbl 1281.34095) Full Text: DOI
Chen, Hua; Chen, Wen; Zhang, Binwu; Cao, Haitao Robust synchronization of incommensurate fractional-order chaotic systems via second-order sliding mode technique. (English) Zbl 1271.93130 J. Appl. Math. 2013, Article ID 321253, 11 p. (2013). MSC: 93D21 34A08 34C28 93D05 PDFBibTeX XMLCite \textit{H. Chen} et al., J. Appl. Math. 2013, Article ID 321253, 11 p. (2013; Zbl 1271.93130) Full Text: DOI
Aghababa, Mohammad Pourmahmood; Aghababa, Hasan Pourmahmood Finite-time stabilization of a non-autonomous chaotic rotating mechanical system. (English) Zbl 1264.93219 J. Franklin Inst. 349, No. 9, 2875-2888 (2012). MSC: 93D21 93B35 93C40 93C15 70Q05 PDFBibTeX XMLCite \textit{M. P. Aghababa} and \textit{H. P. Aghababa}, J. Franklin Inst. 349, No. 9, 2875--2888 (2012; Zbl 1264.93219) Full Text: DOI
Aghababa, Mohammad Pourmahmood; Aghababa, Hasan Pourmahmood A general nonlinear adaptive control scheme for finite-time synchronization of chaotic systems with uncertain parameters and nonlinear inputs. (English) Zbl 1263.93111 Nonlinear Dyn. 69, No. 4, 1903-1914 (2012). MSC: 93C40 93C15 34D06 34H05 34C28 PDFBibTeX XMLCite \textit{M. P. Aghababa} and \textit{H. P. Aghababa}, Nonlinear Dyn. 69, No. 4, 1903--1914 (2012; Zbl 1263.93111) Full Text: DOI
Yin, Chun; Zhong, Shou-Ming; Chen, Wu-Fan Response to the comments on “Design of sliding mode controller for a class of fractional-order chaotic systems”. (English) Zbl 1261.93030 Commun. Nonlinear Sci. Numer. Simul. 17, No. 12, 5291-5293 (2012). MSC: 93B12 34A08 37N35 PDFBibTeX XMLCite \textit{C. Yin} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 12, 5291--5293 (2012; Zbl 1261.93030) Full Text: DOI
Yin, Chun; Dadras, Sara; Zhong, Shou-Ming Design an adaptive sliding mode controller for drive-response synchronization of two different uncertain fractional-order chaotic systems with fully unknown parameters. (English) Zbl 1255.93038 J. Franklin Inst. 349, No. 10, 3078-3101 (2012). MSC: 93B12 93C40 34H10 PDFBibTeX XMLCite \textit{C. Yin} et al., J. Franklin Inst. 349, No. 10, 3078--3101 (2012; Zbl 1255.93038) Full Text: DOI