Mingqing Xiao

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In this paper, the synchronization problem for neural networks with stochastic perturbation is studied with intermittent control via adaptive aperiodicity. Under the framework of stochastic theory and Lyapunov stability method, we develop some techniques of intermittent control with adaptive aperiodicity to achieve the synchronization of a class of neural(More)
— A new semi-smooth Newton (SSN) multigrid algorithm is proposed for solving the discretized first order necessary optimality systems that characterize the optimal solutions of a class of 2D semi-linear parabolic PDE optimal control problems with control constraints. To achieve a second-order accurate finite difference discretization, we use a leapfrog(More)
Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. Abstract—Given a system with an(More)
Recently, switched systems have been found in many practical applications such as in communication network dynamics , robot manipulators, traffic management, etc. In this paper, we study the stability of time-varying linear switched systems under perturbations that satisfy linear growth condition, which is not available in current literature. By introducing(More)
We develop high-order numerical methods for solving wave equations with van der Pol type nonlinear boundary conditions. Based on the wave reflection on the boundaries, we first solve the corresponding Riemann invariants by constructing two iterative mappings, and then, regarding the regularity of boundary conditions, propose two different high-order(More)