Almost Sure Practical Exponential Stability of Nonlinear Disturbed Stochastic Systems with Guaranteed Decay Rate. Issue 6 (17th February 2017)

• Record Type: Journal Article
• Authors: Barbata, Asma; Zasadzinski, Michel; Chatbouri, Ridha; Souley Ali, Harouna; Messaoud, Hassani
• Is Part Of: Asian journal of control. Volume 19:Issue 6(2017)
• Page Start: 1954
• Page End: 1965
• Publication Date: 2017-02-17
• Subjects: Stochastic differential equations, almost sure practical exponential stability, nontrivial solutions, disturbance rejection, decay rate; Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.1472
• Languages: English
• ISSNs: 1561-8625

Abstract

Abstract: In this paper, we consider nonlinear stochastic differential equations driven by multiplicative noises and affected by exogenous disturbances. Sufficient conditions are investigated for almost sure practical exponential stability of the non trivial solutions of these equations. A lower bound of the decay rate of these solutions is guaranteed.