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This paper deals with the LaSalle stability theorem of general stochastic hybrid systems. In general the hybrid systems have discontinuous trajectories. And such property brings some difficulty in stability analysis. To overcome this difficulty a new concept named by finite-extraction systems is proposed. For finite-extraction systems their trajectories vary little in a very short time. Depending...
In this paper, an output feedback stabilization is considered for a class of stochastic nonlinear systems, whose nonlinear terms admit an incremental rate depending only on the measured output. First, a high-gain observer is designed with a gain coming from a Riccatti equation. Second, by the backstepping approach, an output feedback controller is obtained, which guarantees global stability in probability...
The paper studied the exponential stability of general stochastic hybrid systems. First Lyapunov asymptotic exponential stability theorem is extended to general stochastic hybrid systems. Second the stabilization of linear stochastic systems is discussed, and a sufficient and necessary condition is proposed. Finally a second-order example is delivered to illustrate the approach
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