Semistability, Finite-Time Stability, Differential Inclusions, and Discontinuous Dynamical Systems Having a Continuum of Equilibria

被引：120

作者：

Hui, Qing ^{[1
]}

Haddad, Wassim M. ^{[2
]}

Bhat, Sanjay P. ^{[3
]}

机构：

[1] Texas Tech Univ, Dept Mech Engn, Lubbock, TX 79409 USA

[2] Georgia Inst Technol, Sch Aerosp Engn, Atlanta, GA 30332 USA

[3] Indian Inst Technol, Dept Aerosp Engn, Bombay 400076, Maharashtra, India

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2009年 / 54卷 / 10期

关键词：

Differential inclusions; discontinuous systems; Filippov solutions; finite-time stability; semistability; CONSENSUS PROBLEMS; LYAPUNOV TESTS; CONVERGENCE; INVARIANCE; NETWORKS;

D O I：

10.1109/TAC.2009.2029397

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper focuses on semistability and finite-time semistability for discontinuous dynamical systems having a continuum of equilibria. Semistability is the property whereby the solutions of a dynamical system converge to Lyapunov stable equilibrium points determined by the system initial conditions. In this paper, we extend the theory of semistability to discontinuous autonomous dynamical systems. In particular, Lyapunov-based tests for sernistability and finite-time semistability for autonomous differential inclusions are established.

引用

页码：2465 / 2470

页数：6

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