Title : 
On Singularly Perturbed Switched Parameter Systems
         
        
            Author : 
Jose, M.V. ; Haddad, A.H.
         
        
            Author_Institution : 
School of Electrical Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0250
         
        
        
        
        
        
            Abstract : 
This paper considers a switched parameter stochastic linear system whose state equations depend on a finite state Markov process. The decomposition of the system and the process together into fast and slow components is investigated in the paper when both are singularly perturbed. The results can be shown to hold when the process is independent of the original system, is ergodic, and the matrices of the different models of the system commute.
         
        
            Keywords : 
Aggregates; Control system synthesis; Equations; Gaussian noise; Hydrogen; Linear systems; Markov processes; Matrix decomposition; Stochastic processes; Stochastic systems;
         
        
        
        
            Conference_Titel : 
American Control Conference, 1987
         
        
            Conference_Location : 
Minneapolis, MN, USA