Mathematical Problems in Engineering

Mathematical Problems in Engineering / 1997 / Article

Open Access

Volume 3 |Article ID 787253 | https://doi.org/10.1155/S1024123X97000537

E. K. Boukas, H. Yang, "Robust stability of nonlinear piecewise deterministic systems under matching conditions", Mathematical Problems in Engineering, vol. 3, Article ID 787253, 13 pages, 1997. https://doi.org/10.1155/S1024123X97000537

Robust stability of nonlinear piecewise deterministic systems under matching conditions

Received06 Mar 1996

Abstract

This paper deals with the robustness of the class of nonlinear piecewise deterministic systems with unknown but bounded uncertainties. Under the assumption that all the modes of the markovian jump process (disturbance) communicate, the complete access to the system state and the boundedness of the uncertainties, a sufficient condition for stochastic stability of this class of systems is given. An example is presented to validate the proposed 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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