A Converse Lyapunov Theorem for a Class of Dynamical Systems which Undergo Switching
A Converse Lyapunov Theorem for a Class of Dynamical Systems which Undergo Switching
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DOI：
10.1109/9.754812
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发表时间：
1999-04
影响因子：
6.8
通讯作者：
W. Dayawansa;C. Martin
中科院分区：
文献类型：
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作者：
W. Dayawansa;C. Martin
作者研究了系统的稳定性，在该系统中，任何瞬间的动态都将遵循固定的向量字段之一。它们允许在向量场家族的成员之间切换是完全随机的。本文的重点是证明这类系统的匡威Lyapunov定理。
The authors investigate the stability of a system in which the dynamics at any instant in time will follow one of a fixed set of vector fields. They allow switching between members of the family of vector fields to be completely random. The focus of this paper is to prove a converse Lyapunov theorem for this class of systems.