Convergence and stability analysis of system of partial differential equations under Markovian structural perturbations–i: vector lyapunov–like functions
- 1 January 2000
- journal article
- research article
- Published by Informa UK Limited in Stochastic Analysis and Applications
- Vol. 18 (4), 493-524
- https://doi.org/10.1080/07362990008809683
Abstract
In this work we consider a system of partial differential equations of parabolic type under Markovian structural perturbations. Sufficient conditions for the stability and the convergence of the solution process of the system are given by developing a block comparison theorems in the context of Lyapunov-like functions. Moreover, an effort has been made to characterize the effects of random structural perturbations. In fact, it has been shown that the random structural perturbations are indeed the stabilizing agents. In addition, examples are given to illustrate the significance of the presented resultsKeywords
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