DocumentCode :
3071689
Title :
Linear dynamically varying versus jump linear systems
Author :
Bohacek, Stephan ; Jonckheere, Edmond
Author_Institution :
Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA
Volume :
6
fYear :
1999
fDate :
1999
Firstpage :
4024
Abstract :
The connection between linear dynamically varying (LDV) systems and jump linear systems is explored. LDV systems have been shown to be useful in controlling systems with “complicated dynamics”. Some systems with complicated dynamics, for example Axiom A systems, admit Markov partitions and can be described, up to finite resolution, by a Markov chain. In this case, the control system for these systems can be approximated as Markovian jump linear systems. It is shown that (i) jump linear controllers for arbitrarily fine partitions exist if and only if the LDV controller exists; (ii) jump linear controllers stabilize the dynamical system; (iii) jump linear controllers are approximations of the LDV controller
Keywords :
Markov processes; linear systems; stability; stochastic systems; Axiom A systems; LDV systems; Markov chain; Markov partitions; approximations; complicated dynamics; jump linear systems; linear dynamically varying systems; stability; Control systems; Displays; Ear; Linear approximation; Linear systems; Nonlinear dynamical systems; Nonlinear systems; Stability; 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.1999.786290
Filename :
786290
Link To Document :
بازگشت