Mean square stochastic stability of linear time-delay system with Markovian jumping parameters

1998 ◽  
Vol 43 (10) ◽  
pp. 1456-1460 ◽  
Author(s):  
K. Benjelloun ◽  
E.K. Boukas
Keyword(s):  
Time Delay ◽  
Stochastic Stability ◽  
Linear Time ◽  
Delay System ◽  
Mean Square ◽  
Markovian Jumping Parameters ◽  
Time Delay System ◽  
Markovian Jumping

scholarly journals Stochastic stability of linear time-delay system with Markovian jumping parameters

1997 ◽  
Vol 3 (3) ◽  
pp. 187-201 ◽  
Author(s):  
K. Benjelloun ◽  
E. K. Boukas
Keyword(s):  
Time Delay ◽  
Stochastic Stability ◽  
Linear Time ◽  
Sufficient Conditions ◽  
Delay System ◽  
Delay Systems ◽  
Necessary Condition ◽  
Markovian Jumping Parameters ◽  
Markovian Jumping ◽  
The Stability

This paper deals with the class of linear time-delay systems with Markovian jumping parameters (LTDSMJP). We mainly extend the stability results of the deterministic class of linear systems with time-delay to this class of systems. A delay-independent necessary condition and sufficient conditions for checking the stochastic stability are established. A sufficient condition is also given. Some numerical examples are provided to show the usefulness of the proposed theoretical results.

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