Lenka, Bichitra Kumar; Upadhyay, Ranjit Kumar New results on dynamic output state feedback stabilization of some class of time-varying nonlinear Caputo derivative systems. (English) Zbl 07810011 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107805, 20 p. (2024). MSC: 34Axx 93Dxx 26Axx PDFBibTeX XMLCite \textit{B. K. Lenka} and \textit{R. K. Upadhyay}, Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107805, 20 p. (2024; Zbl 07810011) Full Text: DOI
Chen, Juan; Zhuang, Bo Boundary control of coupled non-constant parameter systems of time fractional PDEs with different-type boundary conditions. (English) Zbl 1512.93058 J. Syst. Sci. Complex. 36, No. 1, 273-293 (2023). MSC: 93C20 35R11 93B52 PDFBibTeX XMLCite \textit{J. Chen} and \textit{B. Zhuang}, J. Syst. Sci. Complex. 36, No. 1, 273--293 (2023; Zbl 1512.93058) Full Text: DOI
Zhang, Yanxin; Chen, Juan; Zhuang, Bo Observer design for time fractional reaction-diffusion systems with spatially varying coefficients and weighted spatial averages measurement. (English) Zbl 1498.93278 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 53, No. 10, 2121-2135 (2022). MSC: 93B53 93C20 35R11 35K57 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 53, No. 10, 2121--2135 (2022; Zbl 1498.93278) Full Text: DOI
Suechoei, Apassara; Sa Ngiamsunthorn, Parinya Optimal feedback control for fractional evolution equations with nonlinear perturbation of the time-fractional derivative term. (English) Zbl 1502.34012 Bound. Value Probl. 2022, Paper No. 21, 26 p. (2022). MSC: 34A08 34G20 49J27 93B52 PDFBibTeX XMLCite \textit{A. Suechoei} and \textit{P. Sa Ngiamsunthorn}, Bound. Value Probl. 2022, Paper No. 21, 26 p. (2022; Zbl 1502.34012) Full Text: DOI
Olivares, Alberto; Staffetti, Ernesto Robust optimal control of compartmental models in epidemiology: application to the COVID-19 pandemic. (English) Zbl 1490.92111 Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106509, 21 p. (2022). MSC: 92D30 93E20 PDFBibTeX XMLCite \textit{A. Olivares} and \textit{E. Staffetti}, Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106509, 21 p. (2022; Zbl 1490.92111) Full Text: DOI
Juchem, Jasper; Chevalier, Amélie; Dekemele, Kevin; Loccufier, Mia First order plus fractional diffusive delay modeling: interconnected discrete systems. (English) Zbl 1498.93106 Fract. Calc. Appl. Anal. 24, No. 5, 1535-1558 (2021). MSC: 93B30 93A15 93B11 26A33 35R11 PDFBibTeX XMLCite \textit{J. Juchem} et al., Fract. Calc. Appl. Anal. 24, No. 5, 1535--1558 (2021; Zbl 1498.93106) Full Text: DOI arXiv
Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Gunter Optimal control problems driven by time-fractional diffusion equations on metric graphs: optimality system and finite difference approximation. (English) Zbl 1476.35312 SIAM J. Control Optim. 59, No. 6, 4216-4242 (2021). MSC: 35R11 35Q93 35R02 26A33 49J20 49K20 93C20 PDFBibTeX XMLCite \textit{V. Mehandiratta} et al., SIAM J. Control Optim. 59, No. 6, 4216--4242 (2021; Zbl 1476.35312) Full Text: DOI
Kumar, Ashish; Pandey, Dwijendra N. Controllability results for non densely defined impulsive fractional differential equations in abstract space. (English) Zbl 1466.34069 Differ. Equ. Dyn. Syst. 29, No. 1, 227-237 (2021). MSC: 34K37 34K30 34K35 34K45 93B05 47D06 47N20 PDFBibTeX XMLCite \textit{A. Kumar} and \textit{D. N. Pandey}, Differ. Equ. Dyn. Syst. 29, No. 1, 227--237 (2021; Zbl 1466.34069) Full Text: DOI
Plekhanova, M. V.; Shuklina, A. F. Mixed control for linear infinite-dimensional systems of fractional order. (Russian. English summary) Zbl 1471.93148 Chelyabinskiĭ Fiz.-Mat. Zh. 5, No. 1, 32-43 (2020). MSC: 93C35 93C05 93C15 26A33 PDFBibTeX XMLCite \textit{M. V. Plekhanova} and \textit{A. F. Shuklina}, Chelyabinskiĭ Fiz.-Mat. Zh. 5, No. 1, 32--43 (2020; Zbl 1471.93148) Full Text: DOI MNR
Zouiten, Hayat; Boutoulout, Ali; Torres, Delfim F. M. Regional enlarged observability of Caputo fractional differential equations. (English) Zbl 1442.35537 Discrete Contin. Dyn. Syst., Ser. S 13, No. 3, 1017-1029 (2020). MSC: 35R11 93B07 93C20 PDFBibTeX XMLCite \textit{H. Zouiten} et al., Discrete Contin. Dyn. Syst., Ser. S 13, No. 3, 1017--1029 (2020; Zbl 1442.35537) Full Text: DOI arXiv
Cai, Ruiyang; Ge, Fudong; Chen, Yangquan; Kou, Chunhai Regional gradient controllability of ultra-slow diffusions involving the Hadamard-Caputo time fractional derivative. (English) Zbl 1441.93022 Math. Control Relat. Fields 10, No. 1, 141-156 (2020). MSC: 93B05 93C20 35R11 60J60 PDFBibTeX XMLCite \textit{R. Cai} et al., Math. Control Relat. Fields 10, No. 1, 141--156 (2020; Zbl 1441.93022) Full Text: DOI arXiv
Cai, Ruiyang; Ge, Fudong; Chen, YangQuan; Kou, Chunhai Regional observability for Hadamard-Caputo time fractional distributed parameter systems. (English) Zbl 1428.34011 Appl. Math. Comput. 360, 190-202 (2019). MSC: 34A08 93B07 93C20 PDFBibTeX XMLCite \textit{R. Cai} et al., Appl. Math. Comput. 360, 190--202 (2019; Zbl 1428.34011) Full Text: DOI
Zouiten, Hayat; Boutoulout, Ali; Torres, Delfim F. M. Regional enlarged observability of fractional differential equations with Riemann-Liouville time derivatives. (English) Zbl 1432.93041 Axioms 7, No. 4, Paper No. 92, 13 p. (2018). MSC: 93B07 93C20 35R11 PDFBibTeX XMLCite \textit{H. Zouiten} et al., Axioms 7, No. 4, Paper No. 92, 13 p. (2018; Zbl 1432.93041) Full Text: DOI arXiv
Lian, TingTing; Fan, ZhenBin; Li, Gang Time optimal controls for fractional differential systems with Riemann-Liouville derivatives. (English) Zbl 1425.93137 Fract. Calc. Appl. Anal. 21, No. 6, 1524-1541 (2018). MSC: 93C23 26A33 49J15 34K37 PDFBibTeX XMLCite \textit{T. Lian} et al., Fract. Calc. Appl. Anal. 21, No. 6, 1524--1541 (2018; Zbl 1425.93137) Full Text: DOI
Rapaić, Milan R.; Šekara, Tomislav B.; Bošković, Marko Č. Frequency-distributed representation of irrational linear systems. (English) Zbl 1425.93195 Fract. Calc. Appl. Anal. 21, No. 5, 1396-1419 (2018). MSC: 93C80 93B10 93C20 93C05 93B28 47G30 PDFBibTeX XMLCite \textit{M. R. Rapaić} et al., Fract. Calc. Appl. Anal. 21, No. 5, 1396--1419 (2018; Zbl 1425.93195) Full Text: DOI
Rajagopal, Karthikeyan; Weldegiorgis, Riessom; Karthikeyan, Anitha; Duraisamy, Prakash; Tadesse, Goitom No chattering and adaptive sliding mode control of a fractional-order phase converter with disturbances and parameter uncertainties. (English) Zbl 1407.93175 Complexity 2018, Article ID 5873230, 13 p. (2018). MSC: 93C40 93C15 34A08 34D20 34H10 PDFBibTeX XMLCite \textit{K. Rajagopal} et al., Complexity 2018, Article ID 5873230, 13 p. (2018; Zbl 1407.93175) Full Text: DOI
Lizzy, Rajendran Mabel; Balachandran, Krishnan Boundary controllability of nonlinear stochastic fractional systems in Hilbert spaces. (English) Zbl 1396.93023 Int. J. Appl. Math. Comput. Sci. 28, No. 1, 123-133 (2018). MSC: 93B05 93E03 93C25 93C10 93B28 47N70 PDFBibTeX XMLCite \textit{R. M. Lizzy} and \textit{K. Balachandran}, Int. J. Appl. Math. Comput. Sci. 28, No. 1, 123--133 (2018; Zbl 1396.93023) Full Text: DOI
Zaky, Mahmoud A. A Legendre collocation method for distributed-order fractional optimal control problems. (English) Zbl 1392.35331 Nonlinear Dyn. 91, No. 4, 2667-2681 (2018). MSC: 35R11 65M70 65K15 93C20 PDFBibTeX XMLCite \textit{M. A. Zaky}, Nonlinear Dyn. 91, No. 4, 2667--2681 (2018; Zbl 1392.35331) Full Text: DOI
Ge, Fudong; Chen, YangQuan; Kou, Chunhai Regional controllability analysis of fractional diffusion equations with Riemann-Liouville time fractional derivatives. (English) Zbl 1352.93022 Automatica 76, 193-199 (2017). MSC: 93B05 34A08 93C15 PDFBibTeX XMLCite \textit{F. Ge} et al., Automatica 76, 193--199 (2017; Zbl 1352.93022) Full Text: DOI arXiv
Bhalekar, Sachin Synchronization of fractional chaotic and hyperchaotic systems using an extended active control. (English) Zbl 1359.93328 Azar, Ahmad Taher (ed.) et al., Advances in chaos theory and intelligent control. Cham: Springer (ISBN 978-3-319-30338-3/hbk; 978-3-319-30340-6/ebook). Studies in Fuzziness and Soft Computing 337, 53-73 (2016). MSC: 93C95 34H10 PDFBibTeX XMLCite \textit{S. Bhalekar}, Stud. Fuzziness Soft Comput. 337, 53--73 (2016; Zbl 1359.93328) Full Text: DOI
Ge, Fudong; Chen, YangQuan; Kou, Chunhai; Podlubny, Igor On the regional controllability of the sub-diffusion process with Caputo fractional derivative. (English) Zbl 1499.93010 Fract. Calc. Appl. Anal. 19, No. 5, 1262-1281 (2016). MSC: 93B05 93C20 26A33 60J60 PDFBibTeX XMLCite \textit{F. Ge} et al., Fract. Calc. Appl. Anal. 19, No. 5, 1262--1281 (2016; Zbl 1499.93010) Full Text: DOI
Ge, Fudong; Chen, Yang Quan; Kou, Chunhai On the regional gradient observability of time fractional diffusion processes. (English) Zbl 1348.93054 Automatica 74, 1-9 (2016). MSC: 93B07 93C20 35R11 PDFBibTeX XMLCite \textit{F. Ge} et al., Automatica 74, 1--9 (2016; Zbl 1348.93054) Full Text: DOI arXiv
Guo, Yuxiang; Ma, Baoli Extension of Lyapunov direct method about the fractional nonautonomous systems with order lying in \((1,2)\). (English) Zbl 1354.34018 Nonlinear Dyn. 84, No. 3, 1353-1361 (2016). MSC: 34A08 34D05 34D20 37B55 93D05 PDFBibTeX XMLCite \textit{Y. Guo} and \textit{B. Ma}, Nonlinear Dyn. 84, No. 3, 1353--1361 (2016; Zbl 1354.34018) Full Text: DOI
Zhou, Ping; Bai, Rongji; Cai, Hao Stabilization of the FO-BLDCM chaotic system in the sense of Lyapunov. (English) Zbl 1418.34020 Discrete Dyn. Nat. Soc. 2015, Article ID 750435, 5 p. (2015). MSC: 34A08 34C28 93B12 PDFBibTeX XMLCite \textit{P. Zhou} et al., Discrete Dyn. Nat. Soc. 2015, Article ID 750435, 5 p. (2015; Zbl 1418.34020) Full Text: DOI
Duong, Pham Luu Trung; Kwok, Ezra; Lee, Moonyong Optimal design of stochastic distributed order linear SISO systems using hybrid spectral method. (English) Zbl 1394.93200 Math. Probl. Eng. 2015, Article ID 989542, 14 p. (2015). MSC: 93C80 93B51 93E03 PDFBibTeX XMLCite \textit{P. L. T. Duong} et al., Math. Probl. Eng. 2015, Article ID 989542, 14 p. (2015; Zbl 1394.93200) Full Text: DOI
Montseny, Emmanuel; Casenave, Céline Analysis, simulation and impedance operator of a nonlocal model of porous medium for acoustic control. (English) Zbl 1358.93119 J. Vib. Control 21, No. 5, 1012-1028 (2015). MSC: 93C80 76Q05 74H45 93E20 74J10 PDFBibTeX XMLCite \textit{E. Montseny} and \textit{C. Casenave}, J. Vib. Control 21, No. 5, 1012--1028 (2015; Zbl 1358.93119) Full Text: DOI HAL
Zhou, Ping; Bai, Rongji The adaptive synchronization of fractional-order chaotic system with fractional-order \(1<q<2\) via linear parameter update law. (English) Zbl 1345.93100 Nonlinear Dyn. 80, No. 1-2, 753-765 (2015). MSC: 93C40 34C28 34D06 37M05 37N35 34C60 PDFBibTeX XMLCite \textit{P. Zhou} and \textit{R. Bai}, Nonlinear Dyn. 80, No. 1--2, 753--765 (2015; Zbl 1345.93100) Full Text: DOI
Jiao, Zhuang; Chen, YangQuan; Zhong, Yisheng Stability analysis of linear time-invariant distributed-order systems. (English) Zbl 1327.93340 Asian J. Control 15, No. 3, 640-647 (2013). MSC: 93D25 34A08 93C05 PDFBibTeX XMLCite \textit{Z. Jiao} et al., Asian J. Control 15, No. 3, 640--647 (2013; Zbl 1327.93340) Full Text: DOI arXiv
Deng, Zhi-Liang; Yang, Xiao-Mei; Feng, Xiao-Li A mollification regularization method for a fractional-diffusion inverse heat conduction problem. (English) Zbl 1296.93133 Math. Probl. Eng. 2013, Article ID 109340, 9 p. (2013). MSC: 93C95 65M99 35R30 PDFBibTeX XMLCite \textit{Z.-L. Deng} et al., Math. Probl. Eng. 2013, Article ID 109340, 9 p. (2013; Zbl 1296.93133) Full Text: DOI
Butkovskii, A. G.; Postnov, S. S.; Postnova, E. A. Fractional integro-differential calculus and its control-theoretical applications. I: Mathematical fundamentals and the problem of interpretation. (English. Russian original) Zbl 1275.93039 Autom. Remote Control 74, No. 4, 543-574 (2013); translation from Avtom. Telemekh. 2013, No. 4, 3-42 (2013). MSC: 93C15 34A08 PDFBibTeX XMLCite \textit{A. G. Butkovskii} et al., Autom. Remote Control 74, No. 4, 543--574 (2013; Zbl 1275.93039); translation from Avtom. Telemekh. 2013, No. 4, 3--42 (2013) Full Text: DOI
Liu, Xiaoyou; Fu, Xi Control systems described by a class of fractional semilinear evolution equations and their relaxation property. (English) Zbl 1255.93071 Abstr. Appl. Anal. 2012, Article ID 850529, 20 p. (2012). MSC: 93C25 PDFBibTeX XMLCite \textit{X. Liu} and \textit{X. Fu}, Abstr. Appl. Anal. 2012, Article ID 850529, 20 p. (2012; Zbl 1255.93071) Full Text: DOI
Agadzhanov, A. N.; Butkovskii, A. G. Fractal controls and quasi-analytic classes of functions in the Cauchy problem for a fractional-order diffusion equation. (English. Russian original) Zbl 1210.35275 Dokl. Math. 82, No. 2, 732-735 (2010); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 434, No. 3, 295-298 (2010). MSC: 35R11 35A08 35C20 26A33 30D60 93C20 PDFBibTeX XMLCite \textit{A. N. Agadzhanov} and \textit{A. G. Butkovskii}, Dokl. Math. 82, No. 2, 732--735 (2010; Zbl 1210.35275); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 434, No. 3, 295--298 (2010) Full Text: DOI
Rapaić, Milan R.; Jeličić, Zoran D. Optimal control of a class of fractional heat diffusion systems. (English) Zbl 1210.35270 Nonlinear Dyn. 62, No. 1-2, 39-51 (2010). MSC: 35Q93 35R11 35A24 93C20 PDFBibTeX XMLCite \textit{M. R. Rapaić} and \textit{Z. D. Jeličić}, Nonlinear Dyn. 62, No. 1--2, 39--51 (2010; Zbl 1210.35270) Full Text: DOI