Stability of Stochastic Distributed Parameter Large-scale Control Systems under Random Structural Perturbations
نویسنده
چکیده
By employing feedback control laws, the robust stochastic stability of distributed parameter large-scale control systems under random structural perturbations is investigated. The results are obtained by using vector Lyapunov-like functionals in the context of the block-comparison theorem, the theory of systems of differential inequalities, and decomposition-aggregation method. The complexity versus stability and stochastic versus stability issues are also studied. Examples are given to illustrate the usefulness of the results. The byproduct of this research has generated an open mathematical problem, namely, the boundary value problem for first order nonlinear partial matrix differential inequalities/equations. AMS (MOS) subject classification: 60H10, 34D20, 93A15, 93E15 and 93E03
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