Lyapunov functionals and matrices
Tài liệu tham khảo
Bellman, 1963
Castelan, 1977, On a functional equation arising in the stability theory of difference-differential equations, Quarterly Applied Mathematics, 35, 311, 10.1090/qam/492694
Datko, 1971, An algorithm for computing lyapunov functionals for some differential–difference equations, 387
Garcia, 2005, Lyapunov matrices for time delay systems, 339
Huang, 1989, Generalization of Liapunov’s theorem in a linear delay system, Journal of Mathematical Analysis and Applications, 142, 83, 10.1016/0022-247X(89)90166-2
Infante, 1978, A Lyapunov functional for a matrix difference–differential equation, Journal of Differential Equations, 29, 439, 10.1016/0022-0396(78)90051-7
Kharitonov, 2006, Lyapunov matrices for a class of time delay systems, Systems and Control Letters, 55, 610, 10.1016/j.sysconle.2006.01.006
Kharitonov, 2003, Lyapunov–Krasovskii approach to robust stability analysis of time delay systems, Automatica, 39, 15, 10.1016/S0005-1098(02)00195-4
Kharitonov, 2004, Lyapunov matrices for time delay systems, Exponential Estimates for Time Delay Systems, 53, 395
Kharitonov, 2006, Lyapunov matrices for time delay systems, Systems and Control Letters, 55, 697, 10.1016/j.sysconle.2006.01.005
Krasovskii, 1956, On the application of the second method of lyapunov for equations with time delay, Prikladnaya Matematika I Mekhanika, 20, 315
Louisell, 2001, A matrix method for determining the imaginary axis eigenvalues of a delay system, IEEE Transactions on Automatic Control, 46, 2008, 10.1109/9.975510
Repin, 1965, Quadratic lyapunov functionals for systems with delay, Prikladnaya Matematika I Mekhanika, 29, 564
Richard, 2003, Time-delay systems: An overview of some recent advances and open problems, Automatica, 39, 1667, 10.1016/S0005-1098(03)00167-5