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Dynamical systems in the real world are always subject to various disturbances. This paper studies the dynamics of delayed discrete-time linear systems with decaying disturbances. It is first shown that if an unforced linear system is exponentially stable, then the disturbed system has a dynamical property like the exponential stability if the disturbance decays at an exponential rate, and has a dynamical...
This paper deals with the problem of passivity analysis for neural networks with both time-varying delay and norm-bounded parameter uncertainties. By further utilizing the information of activation function and employing a reciprocally convex approach to consider the relationship between the time-varying delay and its time-varying interval, some improved delay-dependent passivity conditions are obtained,...
This work investigates the consensus problem of a group of nonlinear agents over a fast-switching network. The communications between agents are bidirectional and time delay exists. The topology, which specifies the communications, is assumed to be switched within a finite set of topologies, reflecting a practical fast-varying network environment. Based on the Lyapunov functional stability theory...
In this paper, we investigate the network-dependent hybrid controller design for a class of networked switched linear control systems. Sampling and network-induced delay cause the asynchronous motions between switched subsystems and the candidate controllers in both the state measurement and the switching signal. We rewrite the original networked switched linear systems by sampled asynchronous switched...
This paper investigates the problem of l1 observer design for positive switched systems with time-varying delays via delta operator approach. The purpose is to design a positive observer such that the estimated error exponentially converges to zero and the l1 -gain from the disturbance input to the estimated error is less than a prescribed level. Based on the average dwell time approach, a sufficient...
The paper investigates the second-order leader-following consensus problem of nonlinear multi-agent systems with time-varying delay. Based on graph theory and the neighbor-based coupling rule, the adaptive control strategy is proposed for the following agents to track the leader, the consensus condition is derived in terms of linear matrix inequalities, which can be easily solved by various convex...
In this paper, we are concerned with the quantized H∞ control problem for a class of stochastic systems with random communication delays. The system under consideration involves signals quantization, Itô stochastic disturbance as well as random communication delays. The measured output and the control input quantization are considered simultaneously. We aim at designing an observer-based controller...
The stabilization control for a class of linear parameter-varying (LPV) systems with time delay and actuator saturation is investigated in this paper. Based on Lyapunov stability theory and linear matrix inequality (LMI) technique, a delay-dependent stability sufficient condition is obtained by using the idea of delay partition and convex optimization approach. Furthermore, the estimation of the domain...
In this paper, the problem of sliding mode control of a discrete-time switched system with uncertain parameters and time-varying delay is investigated. By using the average dwell time approach and the piecewise Lyapunov function technique, a sufficient condition is proposed to guarantee the exponential stability of the switched systems with uncertain parameters and time delays. The conservation of...
Synchronization of high-order discrete-time complex networks with time-varying delays and undirected communication topologies are investigated. Firstly, synchronization problems are converted into asymptotic stability ones, and the necessary and sufficient conditions for synchronization are presented. Based on the linear matrix inequality (LMI), sufficient conditions for synchronization are proposed...
Considering the limited data of spare parts consumption and the stochastic and uncontrollable of the inducing factors, a new rolling forecasting model of grey least square support vector machine (LSSVM) is proposed through analyzing disadvantages of current spare parts consumption forecasting models. The new model not only develops the advantages of accumulation generation of the grey forecasting...
This paper presents the routing recovery problem of mobile sink wireless sensor networks (mWSNs), which is caused by the sink mobility. We propose an immune orthogonal learning particle swarm optimization algorithm (IOLPSOA) based routing recovery method to build and optimize the alternative path, in order to repair the broken path and maintain the available route from the source nodes to the mobile...
The stability analysis problem is investigated for networked predictive control systems with varying controller gains in this paper. By introducing a new auxiliary variable and analyzing the deep relationship between two consecutive sampling points, the NCS is transformed into a coupled switched system. The sufficient condition guaranteeing the asymptotical stability of the coupled switched system...
This paper is concerned with fuzzy-model based stabilization of nonlinear networked control systems (NCSs) with time-varying transmission delays and transmission intervals based on a random-delay approach. The real-time distribution of input delays resulting from transmission delays and intervals is modeled as a dependent and nonidentically distributed process. Then a randomly switched Takagi-Sugeno...
This paper deals with the H∞ control for a class of continuous-time networked control systems based on continuous-time Markov chains. Firstly, with controller switching strategy, a class of linear continuous-time networked control systems are modeled as continuous-time Markov jump linear systems. Secondly, using the Lyapunov functional approach, sufficient conditions on the existence of an H∞ controller...
This paper is concerned with the observer-based H∞ control for continuous-time networked control systems (NCSs) considering packet dropouts and network-induced delays. Under consideration of packet dropouts and network-induced delays in Sensor-to-Controller (S-C) channel and network-induced delays in Controller-to-Actuator (C-A) channel, by taking the non-uniform distribution characteristic of measurement...
In this academic brief, robust stochastic stability and stabilization for a category of uncertain stochastic systems with multiple time-delays as importantly issues are investigated. Via constructed multiple-interval-dependent Lyapunov-Krasovskii functional, more information between the delays have been considered, some novel criteria for the solvability of above issues are derived defined as LMIs...
This paper deals with the problems of robust stochastic stabilization for uncertain stochastic systems with a time-varying delay in the state. The parameter uncertainties are assumed to be time-varying norm-bounded appearing in the state. Some delay-range-dependent stability criteria are derived based on the new Lyapunov functional and the consideration of range for the time-delay. An example illustrating...
This paper concerns the problem of output strictly passive control and input strictly passive control for neutral systems. The aims at designing state feedback controllers so that the neutral systems are asymptotical and output or input strictly passive. In terms of a linear matrix inequality (LMI) and Lyapunov function, the strictly passive criteria is formulated. And the desired passive controller...
This paper considers the problem of stability analysis of a class of delayed genetic regulatory networks (GRNs) with stochastic disturbances. By introducing appropriate Lyapunov-Krasovskii functional and employing free-weighting matrix approach, convex combination approach and delay-range partition approach, respectively, three stability criteria in the form of linear matrix inequalities are established...
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