PROJECT TITLE :

Adaptive stabilisation of random systems with arbitrary switchings

ABSTRACT:

This study is worried with the world stabilisation drawback for a category of random non-linear systems with arbitrary switchings and parameter uncertainties. Under some milder assumptions and by constructing a Lyapunov operate, a typical adaptive state feedback controller is designed such that the resulting closed-loop system incorporates a globally distinctive and almost surely bounded solution. Furthermore, the system states are exponentially noise-to-state stable in mean sq.. Finally, the potency of the proposed design approach is demonstrated by a numerical example.