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This paper proposes a method to stabilize the origins of deterministic dynamical systems by state feedback control laws with Wiener processes. First, we obtain Ito-type stochastic dynamical systems by randomizing ordinary differential equation systems. Second, we design the diffusion coefficients. Then, we obtain Sontag-type global asymptotically stabilizers based on the stochastic control Lyapunov...
This paper deals with the problem of dissipative control for stochastic descriptor systems with time-delays based on the extended Ito stochastic differential formula. We consider the design of a state-feedback dissipative controller such that the closed-loop systems is mean-square asymptotically stable and strictly (Q, S, R)-dissipative. A sufficient condition on the existence of dissipative controllers...
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