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In this paper, the theme of Exponential Synchronization (ES) for a new class of Complex Dynamical Networks (CDN) with hybrid Time-Varying Delay (TVD) and Non-Time-Varying Delay (NTVD) nodes is investigated by using coupling Periodically Intermittent Pinning Control (PIPC). Based on the Lyapunov Stability Theory (LST), Kronecker product rules and PIPC method, sufficient conditions for ES and PIPC criteria...
This note presents a feedforward and feedback optimal control (FFOC) law for a class of nonlinear time-delay systems affected by external disturbances. A sequence of inhomogeneous linear non-delay state and adjoint vector equations are constructed to approximate to the original two-point boundary value (TPBV) problems from the original optimal control problem. The convergence of the sequences is proved...
An optimal regulator is presented for a nonlinear discrete-time system with input delay and a quadratic criterion. First, the original problem is reduced to the nonlinear-quadratic regulator design for a system without delays by an extended Artstein model reduction approach. Then, An iterative process is proposed to find a solution sequence of the nonlinear two-point boundary value (TPBV) problem...
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