A remark on Lagrange stability of nonlinear systems stabilization

✍ Scribed by H. Hammouri; S. Othman

• Publisher: Elsevier Science
• Year: 1992
• Tongue: English
• Weight: 325 KB
• Volume: 5
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/0893-9659(92)90082-k

✦ Synopsis

This paper deals with the concept of stability in the sense of Lagrange or more simply as Lagrange stability. By the use of an estimator, we provide a snflicient condition for the stability of nonlinear systems, hence for linear systems. Allowing certain assumptions we show that if after application of a bounded input (for any initial condition in a compact), the resulting output is C&O bounded, then the system is Lagrange stable. l%rthermore, we set some hypotheses concerning the stability control law for stable systems.