Asymptotic stability analysis of certain neutral differential equations: A descriptor system approach
Tài liệu tham khảo
Agarwal, 2000, Asymptotic stability of certain neutral differential equations, Math. Comput. Model., 31, 9, 10.1016/S0895-7177(00)00056-X
Boyd, 1994
Charitonov, 2002, On delay-dependent stability conditions, Syst. Control Lett., 40, 71, 10.1016/S0167-6911(00)00003-7
Ei-Morshedy, 2000, Nonoscillation, oscillation and convergence of a class of neutral equations, Nonlinear Anal.: Theory Methods Appl., 40, 173, 10.1016/S0362-546X(00)85010-5
Fridman, 2001, New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems, Syst. Control Lett., 43, 309, 10.1016/S0167-6911(01)00114-1
Fridman, 2002, Stability of linear descriptor systems with delays: a Lyapunov-based approach, J. Math. Anal. Appl., 273, 24, 10.1016/S0022-247X(02)00202-0
Fridman, 2002, H∞-control of linear state-delay descriptor systems: an LMI approach, Linear Algebra Appl., 351–352, 271, 10.1016/S0024-3795(01)00563-8
Gahinet, 1995
Gopalsamy, 1997, Convergence under dynamical thresholds with delays, IEEE Trans. Neural Networks, 8, 341, 10.1109/72.557672
Gopalsamy, 1992
Hale, 1993
Kolmanovskii, 1986
Kolamnovskii, 1999
Liao, 2002, Delay-dependent exponential stability analysis of delayed neural networks: an LMI approach, Neural Networks, 15, 855, 10.1016/S0893-6080(02)00041-2
Liao, 2004, Global exponential stability for a class of retarded functional differential equations with applications in neural networks, J. Math. Anal. Appl., 293, 125, 10.1016/j.jmaa.2003.12.018
Logemann, 1996, The effects of small delays in the feedback loop on the stability of the neutral systems, Syst. Control Lett., 27, 267, 10.1016/0167-6911(96)00002-3
Park, 1999, A delay-dependent stability criterion for systems with uncertain time-invariant delays, IEEE Trans. Automat. Contr., 44, 876, 10.1109/9.754838
Park, 2004, Delay-dependent criterion for asymptotic stability of a class of neutral equations, Appl. Math. Lett., 17, 1203, 10.1016/j.aml.2003.05.013
Sun, 2006, Note on asymptotic stability of a class of neutral differential equations, Appl. Math. Lett., 19, 949, 10.1016/j.aml.2005.10.015