Cone-valued Lyapunov functions and stability of impulsive control systems

被引：23

作者：

Akinyele, O ^{[1
]}

机构：

[1] Bowie State Univ, Dept Math, Bowie, MD 20715 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2000年 / 39卷 / 02期

关键词：

cone-valued Lyapunov functions; stability in two measures; impulsive control systems;

D O I：

10.1016/S0362-546X(98)00160-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The method of cone-valued Lyapunov functions for impulsive control systems is evaluated. In particular, cone-valued Lyapunov functions are used to study the qualitative analysis of control systems with impulse effects in terms of two different measures. New comparison results are established, which in terms of two different measures, provide unified methods of specifying admissable control sets corresponding to any desired behavior of the control systems. Results on the controllability of the impulse control systems in terms of two measures are also discussed.

引用

页码：247 / 259

页数：13

共 9 条

[1] ON THE PHI-0-STABILITY OF COMPARISON DIFFERENTIAL-SYSTEMS [J].