Partial exponential stability of nonlinear time-varying large-scale systems

• Published in: Nonlinear analysis Vol. 59; no. 5; pp. 789 - 800
• Main Authors: Jian, Ji-Gui, Liao, Xiao-Xin
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01-11-2004
• Subjects: Comparison principle; Lyapunov functions; Nonlinear time-varying large-scale systems; Partial exponential stability; Nonlinear time-varying large-scale systems; Comparison principle; Lyapunov functions; Partial exponential stability
• ISSN: 0362-546X; 1873-5215
• DOI: 10.1016/j.na.2004.07.037

In this paper, theorems concerning the partial exponential stability and globally partial exponential stability of nonlinear time-varying large-scale systems are obtained via both scalar and vector Lyapunov function methods and both scalar and vector comparison technique. By describing high-order systems as collections of lower interconnected subsystems so that the partial exponential stability and globally partial exponential stability property of isolated subsystems infers the same property of the over-all system, these theorems obtained here extend and complemented the relevant known results and enriched the contents of the partial exponential stability theory for nonlinear time-varying large-scale systems. Finally, two numerical examples are presented to illustrate the effectiveness of the results.