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This paper is concerned with the stability and impulsive stabilization of hybrid impulsive stochastic functional differential systems with delayed impulses. Using the Razumikhin techniques and Lyapunov functions, some sufficient conditions for the pth moment exponential stability of the systems under consideration are established. Based on the derived stability results, impulsive controllers are designed...
This paper investigates the problems of pointwise-in-space stabilization and synchronization of semilinear reaction–diffusion systems with Dirichlet boundary conditions and mixed delays via impulsive control. Combining impulse time-dependent Lyapunov function/functional-based methods, descriptor system approach, the Wirtinger’s inequality for tackling the diffusion terms, with the extended Jensen’s...
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