In this paper, the methods of decomposition of large-scale system and Liapunov function are used in studying the existence of stationary oscillation of periodic interval system, some new results are obtained.
In this paper,we discuss the existence of stationary oscillations of certain large-scale nonlinear time-delay systems by weighted vector Liapunov functions and obtain a simple sufficiency criterion,which is independen...In this paper,we discuss the existence of stationary oscillations of certain large-scale nonlinear time-delay systems by weighted vector Liapunov functions and obtain a simple sufficiency criterion,which is independent of delays.展开更多
In this paper,the existence of stationary oscillations of second order periodic systemsunder stochastlc noise interference is investigated,and the necessary and sufficient condition for the existence of stationary osc...In this paper,the existence of stationary oscillations of second order periodic systemsunder stochastlc noise interference is investigated,and the necessary and sufficient condition for the existence of stationary oscillations in the sense of mean-square stability is obtained via establishing equivalent vector stochastic systems and establishing deterministicequivalent systems in the sense of stability, and applying the existence theorem of stationary oscillations for the deterministic systems.展开更多
基金'Project supported by the Natural Science Foundation of Henan Province (No.0211010900) Natural Science Foundation of Shandong Institute of Business and Technology.
文摘In this paper, the methods of decomposition of large-scale system and Liapunov function are used in studying the existence of stationary oscillation of periodic interval system, some new results are obtained.
文摘In this paper,we discuss the existence of stationary oscillations of certain large-scale nonlinear time-delay systems by weighted vector Liapunov functions and obtain a simple sufficiency criterion,which is independent of delays.
文摘In this paper,the existence of stationary oscillations of second order periodic systemsunder stochastlc noise interference is investigated,and the necessary and sufficient condition for the existence of stationary oscillations in the sense of mean-square stability is obtained via establishing equivalent vector stochastic systems and establishing deterministicequivalent systems in the sense of stability, and applying the existence theorem of stationary oscillations for the deterministic systems.
