On the Existence of Control Lyapunov Functions and State-Feedback Laws for Hybrid Systems

被引：27
作者：
Sanfelice, Ricardo G. [1 ]
机构：
[1] Univ Arizona, Dept Aerosp & Mech Engn, Tucson, AZ 85721 USA
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2013年 / 58卷 / 12期
基金：
美国国家科学基金会;
关键词：
Asymptotic stability; hybrid control; hybrid systems; set-valued analysis; selections; STABILIZATION; STABILITY;
D O I：
10.1109/TAC.2013.2264851
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
For a class of hybrid systems given in terms of constrained differential and difference equations/inclusions, we study the existence of control Lyapunov functions when compact sets are asymptotically stable as well as the stabilizability properties guaranteed when control Lyapunov functions exist. An existence result asserting that asymptotic stabilizability of a compact set implies the existence of a smooth control Lyapunov function is established. When control Lyapunov functions are available, conditions guaranteeing the existence of stabilizing continuous state-feedback control laws are provided.
引用
收藏
页码：3242 / 3248
页数：7
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