Semistability for Nonlinear Impulsive Systems
In this paper we develop the stability analysis and invariant set stability theorems for nonlinear impulsive systems. Two notions that are of articular relevance to such systems are convergence and semistability. We relate convergence and stability to the classical concepts of system storage functions to impulsive systems providing a generalized hybrid system energy interpretation in terms of stored energy. we show that a set of Lyapunov-based suf.cient conditions for establishing these convergent properties. These makes it possible to deduce properties of the Lyapunov function and thus leads to suf.cient conditions for convergence, stability and semistability. Finally, the ef.cacy of the main results is shown by a numerical example.
MU Xiaowu GAO Yongliang
Department of Mathematics, Zhengzhou University, Zhengzhou 450052, P.R.China Department of Mathematics, Zhengzhou University, Zhengzhou 450052, P.R.China College of Science, Zho
国际会议
The 30th Chinese Control Conference(第三十届中国控制会议)
烟台
英文
1-5
2011-07-01（万方平台首次上网日期，不代表论文的发表时间）