Mathematical Problems in Engineering

Mathematical Problems in Engineering / 1997 / Article

Open Access

Volume 3 |Article ID 235070 |

K. Benjelloun, E. K. Boukas, "Stochastic stability of linear time-delay system with Markovian jumping parameters", Mathematical Problems in Engineering, vol. 3, Article ID 235070, 15 pages, 1997.

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

Received12 Feb 1996
Revised30 Apr 1996


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.

Copyright © 1997 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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