摘要
近年来,集合稳定性问题得到广泛研究.研究一类非线性不连续系统在Filippov解意义下的W-渐近稳定问题.首先,给出这类系统W-稳定相关定义.其次,建立了此类系统实现W-渐近稳定的Lyapunov定理.最后,研究了该系统的静态量化反馈镇定问题,即使用静态量化器实现系统W-渐近稳定.
Recently, set stability problems are considered by a lot of people.In this paper, W-stability analysis for one class of discontinuous systems with the Filippov solutions is discussed. Firstly, W-stability definitions are given. Secondly, Lyapunov theorems for W-stability are constructed. Finally, static quantized feedback stabilization problems are studied. The static quantizers are used to realize the W-asymptotical stability of the discontinuous sys- tems.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第12期129-135,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金(60874006)
黑龙江省青年科学基金项目:不连续动力系统的稳定与镇定(QC2009C99)
