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This paper deals with the output feedback stabilization problem for the stochastic nonholonomic systems with unknown stochastic disturbances. The objective is to design the almost global asymptotical output feedback controllers in probability for the systems by output feedback. The switching control strategy based on the output measurement of the first subsystem is employed to achieve the asymptotic...
The exponential stability of nonlinear Ito differential systems with time-delay and Markovian switching is studied. According to the theory of stability of stochastic systems and Ito differential formula, by choosing proper stochastic Lyapunov function, applying generalized Ito formula, some sufficient conditions of exponential stability of such system was obtained, which improved existed results,...
A more general class of stochastic nonlinear systems with Markovian switching are considered in this paper. As preliminaries, the stability criteria and the existence theorem of strong solution are firstly presented by using the inequality of mathematic expectation of Lyapunov function and its infinitesimal generator. The state-feedback controller is designed by regarding Markovian switching as constant...
This paper is concerned with the stabilization and Hinfin control problems for continuous-time switched stochastic systems. By applying the average dwell time method and the piecewise Lyapunov function technique, sufficient conditions are first proposed, which guarantee the unforced switched stochastic system to be mean-square exponentially stable with a prescribed Hinfin performance. Then, the stabilization...
The problem of energy-to-peak control for a class of continuous time-varying delay systems with Markovian switching parameters is discussed. In this paper, such control problem requires that the resulted closed-loop system is exponentially stable in mean square sense with given L2-Hinfindisturbance attenuation. The Markovian switching considered here forms a continuous-time discrete-time homogeneous...
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