Title :
Stability of impulsive dynamical systems
Author :
Joelianto, Endra ; Williamson, Darrell
Author_Institution :
Dept. of Eng., Australian Nat. Univ., Canberra, ACT, Australia
Abstract :
The paper considers an extension of LaSalle´s invariance principle for the investigation of the stability of an impulsive dynamical system. In particular, we show that the existence of non-increasing Lyapunov function is not sufficient for stability, but that an extra condition on the impulsive vectors is required which depends on both the magnitude and the direction of the impulsive vectors
Keywords :
Lyapunov methods; differential equations; discrete time systems; invariance; linear systems; stability; LaSalle invariance principle; Lyapunov function; differential equations; discrete time systems; impulsive dynamical systems; impulsive vectors; linear systems; stability; Control systems; Differential equations; Drugs; Erbium; Frequency modulation; Humans; Lyapunov method; Pulse modulation; Stability;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.761787
