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This paper proposes a novel stability analysis of linear systems with sampled-data inputs. Inspired by the input-delay approach and the stability of impulsive systems, this method provides novel sufficient stability conditions. The stability analysis concerns both constant and time-varying sampling periods. The delay-dependent conditions are expressed using computable linear matrix inequalities. Several...
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 is concerned with the stabilization of networked control systems with nonlinear perturbations and fast-varying network-induces time-delay, and data dropout is also taken into consideration. Using LMI approach, new criteria are proposed for the controller design. The new criteria are irrelevant to the bound of the derivative of the delay, no constrain is imposed to the matrix structure....
In this paper deal with the problem of asymptotic stability for a class of uncertain stochastic neural networks with discrete-time and unbounded distributed delays. The sufficient conditions to guarantee the robust global asymptotic stability in mean square of an equilibrium solution are given. One example is also given to demonstrate our results.
The issue of the stability of linear systems with time-varying delays is considered in this paper. The time-delay considered in this paper belongs to a given interval and its derivative also belongs to a given interval. By constructing a new type of Lyapunov functional where some triple-integral terms are contained and the information of the lower bound on the delay is considered sufficiently, new...
This paper is concerned with the stochastic stabilizability problem of time-delayed Markovian jump bilinear systems with saturating actuators. Based on the reduction method, sufficient conditions are proposed to guarantee local exponential stochastic stability of the closed-loop systems with delayed feedback control. A numerical example is provided to demonstrate the effectiveness of the proposed...
This paper considers the controlled synchronization of delayed weighted complex dynamical network consisting of heterogeneous nodes. By adding controllers to nodes of the second kind in the model presented consisting of two kinds of nodes, both delay-independent and delay-dependent stability criteria for the controlled synchronization state of the network are derived. It is shown that the stability...
This paper focuses on the analysis of some classes of observers for linear systems with a point-wise delay. First, it is pointed out that, classical interval observers for systems without delays are not robust with respect to the presence of delays that appear in a specific structure location, no matter how small it is. Next, it is shown that, in general, for linear systems classical interval observers...
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...
We study global stabilization of strict-feedforward systems with arbitrarily long input delay. These systems may be open-loop unstable but cannot exhibit finite escape instability, providing for a possibility of global stabilization even in the presence of long delay. We derive predictor-based feedback laws for exact compensation of input delay. These feedbacks are given explicitly due to the fact...
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 addresses the H?? stability analysis of neutral time-delay systems with multiple commensurate delays including those with poles asymptotic to the imaginary axis. This extends previous work where only the single delay case was considered. Some frequency-domain tests for this kind of stability are proposed.
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...
As an important tool to study practical problems of biology, engineering and image processing, the neural networks has caused more and more attention. Some interesting results on the stability have been obtained. In this paper, the exponential stability of the equilibrium point of a group of Cohen-Grossberg neural networks is obtained by using Lyapunov method and Razumikhin technique.
This paper deals with the problem of exponential stability for a class of neutral-type networks with interval time-varying delays. An approach combining the Lyapunov-Krasovskii functional with linear matrix inequality (LMI) is taken in our study. The theoretical analysis and numerical simulations show that our results are effectiveness. It is interested that there is a relationship between the exponential...
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