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Uniform exponential stability and the uniform observability of time-varying linear stochastic systems in Hilbert spaces
by
Viorica Ungureanu
Universitatea Constantin Brancusi, Targu-Jiu, Romania
The main object of this paper is to discuss the problem of the uniform exponential stability and uniform observability of time-varying linear stochastic systems in Hilbert spaces. We give a representation of the mild solutions of these systems by using the solutions of Lyapunov equations. This representation allow us to obtain a deterministic characterization of the uniform exponential stability and uniform observability property of the discussed systems.
Date received: May 13, 2002
Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caiz-09.