Ezz-Eldien, Samer S.; Bhrawy, Ali H.; El-Kalaawy, Ahmed A. Direct numerical method for isoperimetric fractional variational problems based on operational matrix. (English) Zbl 1402.93110 J. Vib. Control 24, No. 14, 3063-3076 (2018). MSC: 93B40 34A08 PDFBibTeX XMLCite \textit{S. S. Ezz-Eldien} et al., J. Vib. Control 24, No. 14, 3063--3076 (2018; Zbl 1402.93110) Full Text: DOI
Phang, Chang; Ismail, Noratiqah Farhana; Isah, Abdulnasir; Loh, Jian Rong A new efficient numerical scheme for solving fractional optimal control problems via a Genocchi operational matrix of integration. (English) Zbl 1402.93148 J. Vib. Control 24, No. 14, 3036-3048 (2018). MSC: 93C30 34A08 93B40 PDFBibTeX XMLCite \textit{C. Phang} et al., J. Vib. Control 24, No. 14, 3036--3048 (2018; Zbl 1402.93148) Full Text: DOI
Wang, Jinrong; Fečkan, Michal; Liu, Shengda Convergence characteristics of PD-type and PDD\(^\alpha\)-type iterative learning control for impulsive differential systems with unknown initial states. (English) Zbl 1400.93125 J. Vib. Control 24, No. 16, 3726-3743 (2018). MSC: 93C23 34A08 93C30 PDFBibTeX XMLCite \textit{J. Wang} et al., J. Vib. Control 24, No. 16, 3726--3743 (2018; Zbl 1400.93125) Full Text: DOI
Alaviyan Shahri, Esmat Sadat; Alfi, Alireza; Tenreiro Machado, J. A. Robust stability and stabilization of uncertain fractional order systems subject to input saturation. (English) Zbl 1400.93252 J. Vib. Control 24, No. 16, 3676-3683 (2018). MSC: 93D09 34A08 PDFBibTeX XMLCite \textit{E. S. Alaviyan Shahri} et al., J. Vib. Control 24, No. 16, 3676--3683 (2018; Zbl 1400.93252) Full Text: DOI
Rabiei, Kobra; Ordokhani, Yadollah; Babolian, Esmaeil Fractional-order Boubaker functions and their applications in solving delay fractional optimal control problems. (English) Zbl 1400.93133 J. Vib. Control 24, No. 15, 3370-3383 (2018). MSC: 93C30 34A08 PDFBibTeX XMLCite \textit{K. Rabiei} et al., J. Vib. Control 24, No. 15, 3370--3383 (2018; Zbl 1400.93133) Full Text: DOI
Jajarmi, Amin; Baleanu, Dumitru Suboptimal control of fractional-order dynamic systems with delay argument. (English) Zbl 1400.93126 J. Vib. Control 24, No. 12, 2430-2446 (2018). MSC: 93C25 26A33 PDFBibTeX XMLCite \textit{A. Jajarmi} and \textit{D. Baleanu}, J. Vib. Control 24, No. 12, 2430--2446 (2018; Zbl 1400.93126) Full Text: DOI
Rakhshan, Seyed Ali; Effati, Sohrab; Kamyad, Ali Vahidian Solving a class of fractional optimal control problems by the Hamilton-Jacobi-Bellman equation. (English) Zbl 1400.93123 J. Vib. Control 24, No. 9, 1741-1756 (2018). MSC: 93C23 26A33 PDFBibTeX XMLCite \textit{S. A. Rakhshan} et al., J. Vib. Control 24, No. 9, 1741--1756 (2018; Zbl 1400.93123) Full Text: DOI
Mashayekhi, S.; Razzaghi, M. An approximate method for solving fractional optimal control problems by hybrid functions. (English) Zbl 1400.93122 J. Vib. Control 24, No. 9, 1621-1631 (2018). MSC: 93C23 26A33 PDFBibTeX XMLCite \textit{S. Mashayekhi} and \textit{M. Razzaghi}, J. Vib. Control 24, No. 9, 1621--1631 (2018; Zbl 1400.93122) Full Text: DOI
Sahu, P. K.; Saha Ray, S. Comparison on wavelets techniques for solving fractional optimal control problems. (English) Zbl 1400.93124 J. Vib. Control 24, No. 6, 1185-1201 (2018). MSC: 93C23 65T60 PDFBibTeX XMLCite \textit{P. K. Sahu} and \textit{S. Saha Ray}, J. Vib. Control 24, No. 6, 1185--1201 (2018; Zbl 1400.93124) Full Text: DOI
Liu, Shengda; Wang, Jinrong Analysis of iterative learning control with high-order internal models for fractional differential equations. (English) Zbl 1400.93121 J. Vib. Control 24, No. 6, 1145-1161 (2018). MSC: 93C23 93C40 93D15 PDFBibTeX XMLCite \textit{S. Liu} and \textit{J. Wang}, J. Vib. Control 24, No. 6, 1145--1161 (2018; Zbl 1400.93121) Full Text: DOI
Alizadeh, Ali; Effati, Sohrab An iterative approach for solving fractional optimal control problems. (English) Zbl 1381.93054 J. Vib. Control 24, No. 1, 18-36 (2018). MSC: 93C23 34A08 PDFBibTeX XMLCite \textit{A. Alizadeh} and \textit{S. Effati}, J. Vib. Control 24, No. 1, 18--36 (2018; Zbl 1381.93054) Full Text: DOI
Zahra, W. K.; Hikal, M. M. Non standard finite difference method for solving variable order fractional optimal control problems. (English) Zbl 1387.93095 J. Vib. Control 23, No. 6, 948-958 (2017). MSC: 93C30 26A33 65L12 PDFBibTeX XMLCite \textit{W. K. Zahra} and \textit{M. M. Hikal}, J. Vib. Control 23, No. 6, 948--958 (2017; Zbl 1387.93095) Full Text: DOI
Sabatier, Jocelyn; Farges, Christophe Analysis of fractional models physical consistency. (English) Zbl 1387.93094 J. Vib. Control 23, No. 6, 895-908 (2017). MSC: 93C30 93A30 PDFBibTeX XMLCite \textit{J. Sabatier} and \textit{C. Farges}, J. Vib. Control 23, No. 6, 895--908 (2017; Zbl 1387.93094) Full Text: DOI
Rakhshan, Seyed Ali; Vahidian Kamyad, Ali; Effati, Sohrab An efficient method to solve a fractional differential equation by using linear programming and its application to an optimal control problem. (English) Zbl 1365.26008 J. Vib. Control 22, No. 8, 2120-2134 (2016). MSC: 26A33 65Q20 90C05 PDFBibTeX XMLCite \textit{S. A. Rakhshan} et al., J. Vib. Control 22, No. 8, 2120--2134 (2016; Zbl 1365.26008) Full Text: DOI
Blaszczyk, Tomasz; Ciesielski, Mariusz Fractional oscillator equation: analytical solution and algorithm for its approximate computation. (English) Zbl 1365.34011 J. Vib. Control 22, No. 8, 2045-2052 (2016). MSC: 34A08 34A45 65L03 PDFBibTeX XMLCite \textit{T. Blaszczyk} and \textit{M. Ciesielski}, J. Vib. Control 22, No. 8, 2045--2052 (2016; Zbl 1365.34011) Full Text: DOI
Lazarević, Mihailo P.; Tzekis, Panagiotis Robust second-order \(PD^\alpha\) type iterative learning control for a class of uncertain fractional order singular systems. (English) Zbl 1365.93187 J. Vib. Control 22, No. 8, 2004-2018 (2016). MSC: 93B52 34A08 93C05 PDFBibTeX XMLCite \textit{M. P. Lazarević} and \textit{P. Tzekis}, J. Vib. Control 22, No. 8, 2004--2018 (2016; Zbl 1365.93187) Full Text: DOI
Dehghan, Mehdi; Hamedi, Ehsan-Allah; Khosravian-Arab, Hassan A numerical scheme for the solution of a class of fractional variational and optimal control problems using the modified Jacobi polynomials. (English) Zbl 1365.26005 J. Vib. Control 22, No. 6, 1547-1559 (2016). MSC: 26A33 49K21 33C45 PDFBibTeX XMLCite \textit{M. Dehghan} et al., J. Vib. Control 22, No. 6, 1547--1559 (2016; Zbl 1365.26005) Full Text: DOI
El Danaf, Talaat S. Numerical solution for the linear time and space fractional diffusion equation. (English) Zbl 1360.65186 J. Vib. Control 21, No. 9, 1769-1777 (2015). MSC: 65L03 26A33 65L60 PDFBibTeX XMLCite \textit{T. S. El Danaf}, J. Vib. Control 21, No. 9, 1769--1777 (2015; Zbl 1360.65186) Full Text: DOI
Özdemir, Necati; Avcı, Derya Optimal control of a linear time-invariant space-time fractional diffusion process. (English) Zbl 1348.60062 J. Vib. Control 20, No. 3, 370-380 (2014). MSC: 60G22 26A33 93B60 PDFBibTeX XMLCite \textit{N. Özdemir} and \textit{D. Avcı}, J. Vib. Control 20, No. 3, 370--380 (2014; Zbl 1348.60062) Full Text: DOI
Rad, Jamal Amani; Kazem, Saeed; Parand, Kourosh Radial basis functions approach on optimal control problems: a numerical investigation. (English) Zbl 1348.93117 J. Vib. Control 20, No. 9, 1394-1416 (2014). MSC: 93B40 65N35 65L60 PDFBibTeX XMLCite \textit{J. A. Rad} et al., J. Vib. Control 20, No. 9, 1394--1416 (2014; Zbl 1348.93117) Full Text: DOI
Alipour, Mohsen; Rostamy, Davood; Baleanu, Dumitru Solving multi-dimensional fractional optimal control problems with inequality constraint by Bernstein polynomials operational matrices. (English) Zbl 1358.93097 J. Vib. Control 19, No. 16, 2523-2540 (2013). MSC: 93C23 26A33 33C45 PDFBibTeX XMLCite \textit{M. Alipour} et al., J. Vib. Control 19, No. 16, 2523--2540 (2013; Zbl 1358.93097) Full Text: DOI
Almeida, Ricardo; Khosravian-Arab, Hassan; Shamsi, Mostafa A generalized fractional variational problem depending on indefinite integrals: Euler-Lagrange equation and numerical solution. (English) Zbl 1358.93098 J. Vib. Control 19, No. 14, 2177-2186 (2013). MSC: 93C23 26A33 70G75 33C45 PDFBibTeX XMLCite \textit{R. Almeida} et al., J. Vib. Control 19, No. 14, 2177--2186 (2013; Zbl 1358.93098) Full Text: DOI
Kuo, Peien; Hosein, Aiblaastin; Farmanborda, Muster Satis Nonlinear output feedback control of a flexible link using adaptive neural network: controller design. (English) Zbl 1349.93166 J. Vib. Control 19, No. 11, 1690-1708 (2013). MSC: 93B52 82C32 93D30 PDFBibTeX XMLCite \textit{P. Kuo} et al., J. Vib. Control 19, No. 11, 1690--1708 (2013; Zbl 1349.93166) Full Text: DOI
Kuo, Peien; Hosein, Aiblaastin; Farmanborda, Muster Satis Nonlinear output feedback control of a flexible link using adaptive neural network: stability analysis. (English) Zbl 1349.93165 J. Vib. Control 19, No. 11, 1674-1689 (2013). MSC: 93B52 82C32 93D30 PDFBibTeX XMLCite \textit{P. Kuo} et al., J. Vib. Control 19, No. 11, 1674--1689 (2013; Zbl 1349.93165) Full Text: DOI
Malinowska, Agnieszka B. On fractional variational problems which admit local transformations. (English) Zbl 1349.49012 J. Vib. Control 19, No. 8, 1161-1169 (2013). MSC: 49J40 26A33 78M30 49S05 PDFBibTeX XMLCite \textit{A. B. Malinowska}, J. Vib. Control 19, No. 8, 1161--1169 (2013; Zbl 1349.49012) Full Text: DOI arXiv
Yousefi, S. A.; Lotfi, A.; Dehghan, M. The use of a Legendre multiwavelet collocation method for solving the fractional optimal control problems. (English) Zbl 1271.65105 J. Vib. Control 17, No. 13, 2059-2065 (2011). MSC: 65K10 26A33 PDFBibTeX XMLCite \textit{S. A. Yousefi} et al., J. Vib. Control 17, No. 13, 2059--2065 (2011; Zbl 1271.65105) Full Text: DOI
Saadatmandi, Abbas; Dehghan, Mehdi A Legendre collocation method for fractional integro-differential equations. (English) Zbl 1271.65157 J. Vib. Control 17, No. 13, 2050-2058 (2011). MSC: 65R20 26A33 PDFBibTeX XMLCite \textit{A. Saadatmandi} and \textit{M. Dehghan}, J. Vib. Control 17, No. 13, 2050--2058 (2011; Zbl 1271.65157) Full Text: DOI
Biswas, Raj Kumar; Sen, Siddhartha Fractional optimal control problems: a pseudo-state-space approach. (English) Zbl 1271.74330 J. Vib. Control 17, No. 7, 1034-1041 (2011). MSC: 74M05 74P10 74H45 26A33 PDFBibTeX XMLCite \textit{R. K. Biswas} and \textit{S. Sen}, J. Vib. Control 17, No. 7, 1034--1041 (2011; Zbl 1271.74330) Full Text: DOI
Agrawal, Om P.; Defterli, Ozlem; Baleanu, Dumitru Fractional optimal control problems with several state and control variables. (English) Zbl 1269.49002 J. Vib. Control 16, No. 13, 1967-1976 (2010). MSC: 49J10 26A33 PDFBibTeX XMLCite \textit{O. P. Agrawal} et al., J. Vib. Control 16, No. 13, 1967--1976 (2010; Zbl 1269.49002) Full Text: DOI
Baleanu, Dumitru; Defterli, Ozlem; Agrawal, Om P. A central difference numerical scheme for fractional optimal control problems. (English) Zbl 1272.49068 J. Vib. Control 15, No. 4, 583-597 (2009). MSC: 49M99 65K10 26A33 PDFBibTeX XMLCite \textit{D. Baleanu} et al., J. Vib. Control 15, No. 4, 583--597 (2009; Zbl 1272.49068) Full Text: DOI arXiv
Chen, L. C.; Zhu, W. Q. The first passage failure of SDOF strongly nonlinear stochastic system with fractional derivative damping. (English) Zbl 1173.93031 J. Vib. Control 15, No. 8, 1247-1266 (2009). MSC: 93E03 70L05 70Q05 93C10 PDFBibTeX XMLCite \textit{L. C. Chen} and \textit{W. Q. Zhu}, J. Vib. Control 15, No. 8, 1247--1266 (2009; Zbl 1173.93031) Full Text: DOI
Baleanu, Dumitru; Muslih, Sami I. Nonconservative systems within fractional generalized derivatives. (English) Zbl 1229.70048 J. Vib. Control 14, No. 9-10, 1301-1311 (2008). MSC: 70H03 26A33 PDFBibTeX XMLCite \textit{D. Baleanu} and \textit{S. I. Muslih}, J. Vib. Control 14, No. 9--10, 1301--1311 (2008; Zbl 1229.70048) Full Text: DOI
Agrawal, Om P. A formulation and numerical scheme for fractional optimal control problems. (English) Zbl 1229.49045 J. Vib. Control 14, No. 9-10, 1291-1299 (2008). MSC: 49N99 26A33 PDFBibTeX XMLCite \textit{O. P. Agrawal}, J. Vib. Control 14, No. 9--10, 1291--1299 (2008; Zbl 1229.49045) Full Text: DOI
Agrawal, Om. P.; Baleanu, Dumitru A Hamiltonian formulation and a direct numerical scheme for fractional optimal control problems. (English) Zbl 1182.70047 J. Vib. Control 13, No. 9-10, 1269-1281 (2007). Reviewer: Bojidar Cheshankov (Sofia) MSC: 70Q05 70-08 26A33 PDFBibTeX XMLCite \textit{Om. P. Agrawal} and \textit{D. Baleanu}, J. Vib. Control 13, No. 9--10, 1269--1281 (2007; Zbl 1182.70047) Full Text: DOI
Agrawal, Om P. Generalized Euler-Lagrange equations and transversality conditions for FVPs in terms of the Caputo derivative. (English) Zbl 1158.49006 J. Vib. Control 13, No. 9-10, 1217-1237 (2007). MSC: 49J27 49K27 26A33 PDFBibTeX XMLCite \textit{O. P. Agrawal}, J. Vib. Control 13, No. 9--10, 1217--1237 (2007; Zbl 1158.49006) Full Text: DOI
Muslih, Sami I.; Baleanu, Dumitru Fractional Euler-Lagrange equations of motion in fractional space. (English) Zbl 1158.49008 J. Vib. Control 13, No. 9-10, 1209-1216 (2007). MSC: 49J27 49K27 26A33 PDFBibTeX XMLCite \textit{S. I. Muslih} and \textit{D. Baleanu}, J. Vib. Control 13, No. 9--10, 1209--1216 (2007; Zbl 1158.49008) Full Text: DOI
Pacheco, R. P.; Steffen, V. jun. Using orthogonal functions for identification and sensitivity analysis of mechanical systems. (English) Zbl 1041.93018 J. Vib. Control 8, No. 7, 993-1021 (2002). Reviewer: Petro Hr. Petkov (Sofia) MSC: 93B30 90C31 70Q05 93B35 93B40 PDFBibTeX XMLCite \textit{R. P. Pacheco} and \textit{V. Steffen jun.}, J. Vib. Control 8, No. 7, 993--1021 (2002; Zbl 1041.93018) Full Text: DOI