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Observer Design for a Class of Nonlinear Systems Driven by Stochastic ProcessWith Bounded Covariance
T. A. Tamba,A. Turnip 제어로봇시스템학회 2015 제어로봇시스템학회 국제학술대회 논문집 Vol.2015 No.10
This paper presents an observer design method for Lipschitz nonlinear systems driven by stochastic processes with bounded covariances. A linear matrix inequality for searching an observer gain that guarantees the ultimate boundedness of the estimation error is derived. The proposed method is illustrated through an example in robotic applications.
Stochastic Stability of Dynamical Systems Driven by Lévy Processes
T. A. Tamba,A. Turnip 제어로봇시스템학회 2015 제어로봇시스템학회 국제학술대회 논문집 Vol.2015 No.10
This paper examines the asymptotic stability of dynamical systems that are driven by Levy processes. A Levy process is a stochastic process with stationary and independent increments. It includes both Wiener and Poisson jump processes and is suitable for simultaneous modeling of small and large fluctuations in a system. Sufficient conditions for the asymptotic stability of the process’ sample paths are derived based on Lyapunov-like techniques. In particular, both the linear and nonlinear models of the process are investigated in the presented stability analyses.