Robust stability of nonlinear piecewise deterministic systems under matching conditions

<p>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...

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Bibliographic Details
Main Authors: Boukas E. K., Yang H.
Format: Article
Language:English
Published: Hindawi Limited 1997-01-01
Series:Mathematical Problems in Engineering
Subjects:
Online Access:http://www.hindawi.net/access/get.aspx?journal=mpe&volume=3&pii=S1024123X97000537
Description
Summary:<p>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.</p>
ISSN:1024-123X
1563-5147