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This paper investigates the problem of H∞ control for a class of networked control systems (NCSs) with time-varying delay in both forward and backward channels. Combined with the switched Lyapunov function technique, an improved predictive controller design strategy is proposed to compensate for the delay and data dropout to achieve the desired control performance. Based on these methods, the controllers...
In this paper, global decentralised stabilisation of a class of interconnected delay systems is considered, where both known and uncertain interconnections involve time delay. Matched and mismatched interconnections are considered separately to reduce the conservatism. A composite sliding surface is designed and the stability of the associated sliding motion which is governed by a time delay interconnected...
For LTI systems with a time-varying input delay, an explicit formula for predictor feedback was presented by Nihtila in 1991. In this note we construct a time-varying Lyapunov functional for the closed-loop system and establish exponential stability. The key challenge is the selection of a state for a transport PDE, which has a non-constant propagation speed, and which is the basis of the stability...
This paper is concerned with the stability analysis of discrete-time systems with time-varying state delay. By defining a new Lyapunov functional and by making use of novel techniques to achieve delay dependence, a new criterion is obtained for the asymptotic stability of these systems. The proposed criterion is less conservative as well as needs fewer decision variables than some pervious ones, which...
In practice, there exist such controlled systems in which some states are often not available, not measurable or too expensive to measure. For such systems, impulsive control inputs may be exerted on the available partial states so as to stabilize the underlying systems. This paper is concerned with analyzing the stability of a class of nonlinear time-delay systems with partial states subject to impulsive...
This paper considers interval time-varying delay systems with delayed estimation of the delay. This case is often encountered in the Networked Control Systems (NCS) field. Based on Lyapunov-Krasovskii functional methods and linear matrix inequality (LMI) techniques, a switching state feedback controller is designed to guarantee the exponential stability. The controller switches according to the measured...
This paper presents adaptive neural tracking control for a class of non-affine pure-feedback systems with multiple unknown state time-varying delays. The separation technique is introduced to decompose unknown functions of all time-varying delayed states into a series of continuous functions of each delayed state. A novel Lyapunov-Krasovskii functional is employed to compensate for the unknown function...
This paper considered the non-fragile control problem of networked control systems with both fast-varying network-induces delay and data dropout. Using Lyapunov stability theory and the linear matrix inequality (LMI) approach, new criteria are proposed for the non-fragile controller design. The new criteria are irrelevant to the bound of the derivative of the delay, no constrain is imposed to the...
This paper investigates the stabilization problem for continuous-time stochastic latency networked control systems (NCS) with non-accessible jumping modes. Based on mode-dependent Lyapunov functional and descriptor system approach, a new method for mode-independent control of such systems is developed in terms of the solvability of linear matrix inequalities (LMIs). Illustrative example demonstrates...
This paper deals with stabilization of networked control systems (NCS) affected by uncertain time-varying delays and data packet dropouts. We point out that such network effects are likely to render the classical control Lyapunov function (CLF) method unfeasible, mainly due to the monotonic decreasing condition. To solve this problem we make use of a discrete-time equivalent of a control Lyapunov-Razumikhin...
We show that for a general class of distributed power control algorithms in wireless networks, if a feasible steady state power allocation exists, this is asymptotically stable for arbitrary gains and time varying heterogeneous delays. The analysis exploits certain contraction properties of the interference in such algorithms, and makes use of Lyapunov Razumikhin functions to address the infinite...
This paper addresses the problem of constructing Lyapunov-Krasovskii functionals for verifying integral input-to-state stability(iISS) and input-to-state stability(ISS) of time-delay nonlinear systems. Based on decomposition of a time-delay system into a dynamic component (a functional differential equation) and static components (functional algebraic equations), this paper develops an iISS small-gain...
The problem of delay-dependent robust passivity analysis and robust passification for uncertain Markovian jump linear systems (MJLs) with time-varying delay is discussed. The parameter uncertainties are time-varying but norm-bounded. Attention is focused on the design of passification controllers, which guarantee that the closed-loop MJLs is passive. By constructing a proper stochastic Lyapunov-Krasovskii...
The problem of delay-dependent energy-to-peak filter design for a class of stochastic time-delay systems is investigated in this paper. Attention is focused on the design of full-order and reduced-order filters to guarantee a prescribed energy-to-peak performance for the filtering error system. The improvement lies in that the constructed Lyapunov-Krasovskii functional, based on the delay partitioning...
This letter considers the problem of mean-square exponential synchronization control for a class of stochastic delayed neural networks. Different from the prior works, the master-response synchronization setup under consideration transmits its signals through unreliable links, which include network-induced delays, frame losses, and random fluctuations. We firstly introduce a mathematical model of...
This paper is concerned with robust stability of uncertain linear systems with interval time-varying delay. The time-varying delay is assumed to belong to an interval and the derivative of the time-varying delay has upper bound, at the same time, no restriction on the derivative of the time-varying delay is considered, which allows the delay to be a fast time-varying function. The uncertainty under...
This paper presents a new stability analysis of linear networked control systems. The new method is inspired by discontinuous Lyapunov functions that were introduced by using impulsive system representation of the sampled-data and of the networked control systems respectively. In the recent paper piecewise-continuous (in time) Lyapunov-Krasovskii functionals have been suggested for the stability analysis...
In this paper we study the globally exponential stability of a class of neural networks with time-varying delays. Applying idea of vector Lyapunov function, Young inequality and Halanay differential inequality with delay, the sufficient conditions for the existence and globally exponential stability of the equilibrium point are obtained.
This paper is concerned with the stabilization problem of networked control systems where the main focus are the packet-loss, time delays and unmeasured system states. Here a state observer is designed for estimating the states and compensating for time delay and data dropout, then the whole closed system is modeled as asynchronous dynamical system constrained by configuration event rate. By using...
The problem of dynamic output feedback control stabilization is considered for a class of multi-time delays uncertain nonlinear systems. Based on LMI and proper Lyapunov functions, a sufficient condition for the existence of robust output feedback controller is proposed, which ensures that the closed-loop system is robust stable. The dynamic output feedback controller is designed by the feasible solution...
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