Compositional contraction analysis of resetting hybrid systems

被引：30

作者：

El Rifai, Khalid ^{[1
]}

Slotine, Jean-Jacques E. ^{[1
]}

机构：

[1] MIT, Dept Mech Engn, Cambridge, MA 02139 USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2006年 / 51卷 / 09期

关键词：

hybrid systems; impulsive systems; nonlinear contraction analysis; nonlinear systems; stability; switched systems;

D O I：

10.1109/TAC.2006.880806

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 note develops sufficient conditions for exponential convergence of resetting hybrid nonlinear dynamical systems. Using nonlinear contraction theory, the analysis first develops a unified formulation of continuous-time and discrete-time nonlinear dynamics based on a differential transition matrix. This yields enhanced dwell-time based conditions for stability of such systems analogous to those existing for switched systems. It turns out that such dwell-time based conditions, unlike their counterparts for switched systems, include arbitrary stability conditions as a special case, and are less conservative and much simpler to verify.

引用

页码：1536 / 1541

页数：6

共 11 条

[1] Some perspectives on the analysis and control of complementarity systems [J].