摘要
利用耗散不等式研究了切换多项式非线性系统的输入-状态稳定性分析问题,在任意切换信号下,给出了使得切换多项式非线性系统输入-状态稳定的充分条件.采用平方和分解方法来寻找切换多项式非线性系统的输入-状态稳定共同Lyapunov函数.数值算例验证了所提方法的可行性.
Based on dissipation inequalities polynomial nonlinear systems is considered. the input-to-state stability （ISS） of switched Sufficient conditions are developed to ensure the ISS of switched polynomial nonlinear systems under arbitrary switching signal. A sum of squares （SOS） decomposition approach is provided to search for a ISS common Lya- punov function for switched polynomial nonlinear systems. The effectiveness of the proposed method is illustrated for a numerical example.
出处
《数学的实践与认识》
CSCD
北大核心
2014年第7期243-247,共5页
Mathematics in Practice and Theory
基金
国家自然科学基金(61174021)
关键词
切换系统
输入-状态稳定性
耗散不等式
平方和分解
switched systems
input-to-state stability
dissipation inequalities
sum ofsquares decomposition
