Singularity‐conquering tracking control of a class of chaotic systems using Zhang‐gradient dynamics
Tóm tắt
Từ khóa
Tài liệu tham khảo
Wu Z., 2013, Structure identification of uncertain dynamical networks coupled with complex‐variable chaotic systems, IET Control Theory Appl., 7, 2285
Lin D., 2014, Symbolic dynamics‐based error analysis on chaos synchronization via noisy channels, Phys. Rev. E, 90, 012908, 10.1103/PhysRevE.90.012908
Gan Q., 2012, Synchronisation of chaotic neural networks with unknown parameters and random time‐varying delays based on adaptive sampled‐data control and parameter identification, IET Control Theory Appl., 6, 795
Yu Y., 2003, Controlling uncertain Lu system using backstepping design, Chaos Solitons Fractals, 15, 897, 10.1016/S0960-0779(02)00205-9
Vanecek A., 1996, Control systems: from linear analysis to synthesis of chaos
Chen A., 2006, Generating hyperchaotic Lu attractor via state feedback control, Physica A, 364, 103, 10.1016/j.physa.2005.09.039
Wang F., 2006, Hyperchaos evolved from the Liu chaotic system, Chin. Phys., 15, 963, 10.1088/1009-1963/15/5/016
Li P., 2007, Stabilisation and synchronisation of chaotic systems via hybrid control, IET Control Theory Appl., 1, 795, 10.1049/iet-cta:20050528
Li W., 2012, Tracking control of chaotic coronary artery system, Int. J. Syst. Sci., 43, 21, 10.1080/00207721003764125
Li Z., 2004, Homoclinic and heteroclinic orbits in a modified Lorenz system, Inf. Sci., 165, 235, 10.1016/j.ins.2003.06.005
Xu Y., 2008, Proc. Int. Conf. Young Computer Scientists, 2903
Lin D., 2014, Fuzzy neural control of uncertain chaotic systems with backlash nonlinearity, Int. J. Mach. Learn. Cybern., 5, 721, 10.1007/s13042-013-0218-9
Lin D., 2012, Fuzzy neural adaptive tracking control of unknown chaotic systems with input saturation, Nonlinear Dyn., 67, 2889, 10.1007/s11071-011-0196-y
Slotine J.E., 1991, Applied nonlinear control
Chen W., 2002, On a switching control scheme for nonlinear systems with ill‐defined relative degree, Syst. Control Lett., 47, 159, 10.1016/S0167-6911(02)00186-X
Hirschorn R.M., 2002, Output tracking through singularities, SIAM J. Control Optim., 40, 993, 10.1137/S0363012999354879
Zhang Y., 2009, From Zhang neural network to Newton iteration for matrix inversion, IEEE Trans. Circuits Syst. I, Regul. Pap., 56, 1405, 10.1109/TCSI.2008.2007065
Xiao L., 2013, Solving time‐varying nonlinear inequalities using continuous and discrete‐time Zhang dynamics, Int. J. Comput. Math., 90, 1114, 10.1080/00207160.2012.750305
Zhang Y., 2011, Zhang neural networks and neural‐dynamic method
Zhang Y., 2011, Performance analysis of gradient neural network exploited for online time‐varying quadratic minimization and equality‐constrained quadratic programming, Neurocomputing, 74, 1710, 10.1016/j.neucom.2011.02.007
Zhang Y., 2002, Global exponential stability of recurrent neural networks for synthesizing linear feedback control systems via pole assignment, IEEE Trans. Neural Netw., 13, 633, 10.1109/TNN.2002.1000129
Abramowitz M., 1972, Handbook of mathematical function with formulas, graphs, and mathematical tables
Chu S., 1967, On Gronwall's inequality, Proc. Am. Math. Soc., 18, 439