Output-to-State Stability for One Class of Discontinuous Dynamical Systems

Wei Zhao
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Abstract

It is well known that output-to-state stability(OSS)is important for engineer application. In this paper, OSS problems for one class of discontinuous dynamical systems are considered. Piecewise smooth OSS-Lyapunov functions are adopted. Furthermore, interconnections of discontinuous dynamical systems are studied. The results for a class of discontinuous dynamical systems and interconnection of discontinuous dynamical systems’ OSS character are shown, respectively.
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一类不连续动力系统的输出-状态稳定性
众所周知,输出状态稳定性(OSS)在工程应用中具有重要意义。研究了一类不连续动力系统的OSS问题。采用分段光滑OSS-Lyapunov函数。进一步研究了不连续动力系统的相互关系。分别给出了一类不连续动力系统和不连续动力系统互连的OSS特性的结果。
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