DocumentCode
343022
Title
Passivity and stability of nonlinear systems with Markovian jump parameters
Author
Aliyu, M.D.S.
Author_Institution
Dept. of Syst. Eng., King Fahd Univ. of Pet. & Miner., Dhahran, Saudi Arabia
Volume
2
fYear
1999
fDate
2-4 Jun 1999
Firstpage
953
Abstract
In this paper, we extend the concept of passivity developed for deterministic systems, to stochastic systems with Markov Jump disturbances. We give necessary and sufficient conditions for the system to be passive, and discuss the relationship between positive-real systems and passive systems. The stability properties of the system and the implications of passivity on the stochastic stability of the system are also discussed
Keywords
Markov processes; nonlinear systems; probability; stability; state-space methods; stochastic systems; Markovian jump parameters; deterministic systems; necessary condition; nonlinear systems; passivity; probability; stability; state space systems; stochastic systems; sufficient condition; Adaptive control; Control systems; Minerals; Network synthesis; Nonlinear systems; Petroleum; Stability; Stochastic systems; Sufficient conditions; Systems engineering and theory;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 1999. Proceedings of the 1999
Conference_Location
San Diego, CA
ISSN
0743-1619
Print_ISBN
0-7803-4990-3
Type
conf
DOI
10.1109/ACC.1999.783181
Filename
783181
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