作　　者： ; ; (刘斌）;

机构地区： 华中科技大学控制科学与工程系

出　　处： 《系统工程学报》 2004年第2期111-116,共6页

摘　　要： 对线性和非线性不确定脉冲系统的鲁棒指数稳定性问题进行了研究.利用拟Lyapunov函数法以及Ric cati和Hamilton Jacobi不等式等方法,分别得到了线性和非线性不确定脉冲系统鲁棒指数稳定的充分条件,这些鲁棒指数稳定性判据可用Riccati不等式方程或Hamilton Jacobi不等式方程是否有正定解检验.最后,给出了一个实例加以验证所得到的结论. This paper studies the robust exponential stability of uncertain impulsive systems. By employing the Quasi-Lyapunov function method, Riccati inequality method and Hamilton-Jacobi inequality approaches, some sufficient conditions of robust exponential stability for linear and nonlinear uncertain impulsive systems have been obtained, respectively. These criteria for robust exponential stability of this kind of systems can be tested if there existed positive definite solutions which satisfies some algebra inequality and the Riccati inequality or the Hamilton-Jacobi inequality, respectively. Finally, we give an example to illustrate the application of the results obtained by us.

关 键 词： 不确定脉冲系统 鲁棒指数稳定性 不等式方程 离散动力系统

领　　域： [自动化与计算机技术] [自动化与计算机技术]