中文摘要：

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.

英文摘要：

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.