In this paper we choose the symmetric positive definite solutionof Riccati matrix algebraic equation and,construct a positive defini-tequadratic form V-function and,use Lyapunov deco mpositionequivalence method founde...In this paper we choose the symmetric positive definite solutionof Riccati matrix algebraic equation and,construct a positive defini-tequadratic form V-function and,use Lyapunov deco mpositionequivalence method founded by Liu Yong-qing to obtain the condi-tions of the asymptotic stability of the solution of neutral typelinear large scale control system,the estimate formula of thedecom posing coefficients and time delay are also given.展开更多
By the way of Introducing some parameters εi(i = 1, 2, 3), a result for the stabilization of the linear time-invariant isolated control subeystems without the time delays imply the stabilization of the neutral linear...By the way of Introducing some parameters εi(i = 1, 2, 3), a result for the stabilization of the linear time-invariant isolated control subeystems without the time delays imply the stabilization of the neutral linear time-invariant large-scale control systems with the multigroup multi-delaysis improved using Lyapunov decomposition equivalence method found by Liu Yongqing. These results in this paper can be expanded the stabilization region of the parameters to be 6 times of the former stable range of the parameters.展开更多
基金The Project was supported by the Science Fund of the Chinese Natural Science.
文摘In this paper we choose the symmetric positive definite solutionof Riccati matrix algebraic equation and,construct a positive defini-tequadratic form V-function and,use Lyapunov deco mpositionequivalence method founded by Liu Yong-qing to obtain the condi-tions of the asymptotic stability of the solution of neutral typelinear large scale control system,the estimate formula of thedecom posing coefficients and time delay are also given.
文摘By the way of Introducing some parameters εi(i = 1, 2, 3), a result for the stabilization of the linear time-invariant isolated control subeystems without the time delays imply the stabilization of the neutral linear time-invariant large-scale control systems with the multigroup multi-delaysis improved using Lyapunov decomposition equivalence method found by Liu Yongqing. These results in this paper can be expanded the stabilization region of the parameters to be 6 times of the former stable range of the parameters.
