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The exponential stability of switched nonlinear cascade systems with time-delay is studied in this paper. By using the average dwell-time method and piecewise Lyapunov function approach, the sufficient conditions that make the switched systems exponentially stable are obtained. And the switching law is designed, which included the average dwell-time of the switched systems. Meanwhile, systems with...
The stability for impulsive interconnected large scale systems with time-delay is addressed in this paper. Time-delay is decomposed extraction by Euler fold line method and Lyapunov function. The stability criteria are presented by the lumped Gauss-Seidel iteration method and the comparison principle. The novel stability of impulsive systems is more universal. Finally, a numerical example is illustrated...
The observer-based controller with finite-time bounded property design technique for a class of discrete-time Markov jump linear systems governed by deterministic switches is presented in this paper. Less conservative conditions are derived to ensure the state trajectories of the closed-loop systems keep within the desired bound in given-time interval by allowing the Lyapunov function to increase...
This paper investigates the exponential input-to-state stability under impulsive events (called as event-e-ISS) for discrete-time impulsive dynamical networks (DIDNs). Two cases (with/without coupling time-delays) are studied respectively for the event-e-ISS of DIDNs. By employing the IS-E properties of subsystems, the gains of events, and the method of multiple Lyapunov-like functions, criteria of...
This paper investigates the problems of designing optimal sequential filter for discrete-time systems with measurement time-delay. Two kinds of approaches are proposed to tackle such problems via the innovation analysis theory. The approaches, to be presented, are to convert a delay optimal sequential filtering problems into a delay-free ones. Based on the minimum mean square error estimation principle,...
This paper is concerned with designing robust observer-based controller for continuous-time time-delay systems with saturating actuators and subject to time-varying uncertainties. With the assumption that the system states are not available but detectable, the observer-based output feedback controller is designed under some delay-dependent conditions derived, and the controller thus designed guarantees...
We consider the H∞ control of two inverted pendulums coupled by a spring. Such a plant, with its controller separated away by a serial communication network, is modeled as an unstable time-delay system with two nonlinear terms corresponding to the torques by gravity and spring force, respectively. Quadratic upper bound estimations for these two nonlinear terms lead to the applicability of linear matrix...
This paper focuses on the consensus problem for second-order multi-agent systems with impulsive algorithm and communication time-delays. By introducing a state transformation, the consensus of the system is translated into the asymptotical stability of a reduced-order discrete-time system. Based on the properties of Laplacian matrix of graphs and a given invertible matrix, necessary and sufficient...
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