The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
The robust stability of uncertain neutral systems with time-varying and distribute delays is investigated. The robust stability criteria are proposed based on Lyapunov-Krasovskii and free weight matrices methods, we derive a new stability criterion. Finally, the numerical examples were given to illustrate the effectiveness of the method.
In this paper, a class of neutral-type fuzzy neural networks with distributed delay is considered. By using the properties of $\math cal{M}-$matrix, a new differential-integro-difference inequality is established. Based on the inequality and by using the properties of fuzzy operator, we obtain the sufficient condition ensuring the exponential stability of the equilibrium point of the considered neural...
In this paper, global synchronization in arrays of coupled networks with two time-varying delay coupling is investigated. Based on Lyapunov functional, we derive two synchronization conditions of these new complex network models by using linear matrix inequality(LMI). Due to two time vary delay, it can seen clearly from our results that the synchronization states change. Finally, a numerical example...
This paper gives sufficient conditions for the practical and finite time stability of a particular class of linear discrete time delay systems. Analyzing the finite time stability concept, these new delay-independent conditions are derived using an approach based on the Lyapunov-like functions. The practical stability and attractive practical stability for discrete time delay systems have been investigated...
The l2-l∞ filtering problem of discrete-time switched state-delay systems under asynchronous switching is considered in this paper. The objective is to obtain a full-order or reduced-order switched filter guaranteeing the exponential stability with l2-l∞ performance of the filtering error system. A sufficient condition in the form of linear matrix inequalities for the exponential stability with the...
This paper investigates the problem of stabilization of linear systems with unknown delay. The delay term in the system is represented by an interpolation of state values with constant delays by fuzzy approximation technique, resulting in a fuzzy model describing a large amount of complex systems focused on the unknown delay, where the delay can be constant and time-varying with or without known delay...
In this paper, we investigate coordinated control for multiple agents with coupling delay under general fixed directed information topology. Stability analysis is performed based on Lyapunov-Krasovskii functional method. Delay -dependent asymptotical stability condition in terms of linear matrix inequalities (LMIs) is derived for the coordinated control algorithm of delayed dynamical networks with...
This present paper addresses chaos synchronization of the well-known electro-mechanical gyrostat systems via time-delay feedback control. Some simple yet generic criteria for chaos synchronization of coupled electro-mechanical gyrostat systems are derived analytically. To this end, numerical simulations are given to verify the effectiveness of the proposed control methodology.
In this paper, we consider a method to design a full-order nonlinear observer for a class of nonlinear time-delay systems with unknown inputs. Based on Lyapunov-Krasovskii functional, we derive a sufficient condition for existence of the designed observer which requires solving a set of nonlinear matrix inequalities. Then, the achieved condition is formulated in terms of two linear matrix inequalities...
This paper focuses on the robust stability analysis of some classes of integral delay systems which naturally appear in several stability and robust stability problems of time-delay systems. The results are derived by using the Lyapunov-Krasovskii functional approach and provide sufficient delay-dependent conditions for the exponential stability of perturbed integral delay systems.
We consider an optimal control problem for networked, linear systems, where the loop is closed via a lossy network with a lossy acknowledgment mechanism. So, the data send from the controller to the actuators might be lost. In these cases often specific strategies called input scheme are used to choose backup inputs. In this work we employ an extended class of such strategies. We derive the necessary...
In this paper, average consensus problem of multiagent systems with switching topology and multiple time-varying delays are investigated in undirected networks. Based on Lyapunov stability theory combined with linear matrix inequalities (LMIs) techniques, some novel forms in terms of LMIs are obtained via taking relationship among the terms in the Newton-Leibniz formula into account. Since some free...
This paper is concerned with the stability problem of the T-S fuzzy systems with constant time-delay. A new delay-dependent stability condition is proposed in terms of linear matrix inequality by constructing a new Lyapunov function, in which contains a triple-integral term, and using some integral inequalities. Numerical example is presented to illustrate our method is effective and lead to less...
In this note, a repetitive learning control (RLC) approach is proposed to deal with periodic tracking tasks for uncertain time-varying delay systems. The design of an open-close loop P type iterative learning controller is studied for uncertain time-varying delay systems. The design procedure is based upon obtaining the sufficient condition of convergence by Lyapunov theory, an iterative learning...
This note is concerned with the problem of delay-distribution-dependent stability and stabilization for networked control systems with stochastic network induced delay and data packet dropout. The stochastic delay and data packet dropout are viewed as stochastic time-varying delay without any constraints on its derivative. Which is assumed to be satisfying a interval Bernoulli distribution. Due to...
The problem of delay-dependent asymptotic stability for neural networks with time-varying delays is investigated. The interval of the time delay is divided into two subintervals by introducing an arbitrary interior point. By choosing an augmented Lyapunov-Krasovskii functional and checking its variation in the two subintervals, respectively, two novel conditions are obtained in terms of linear matrix...
A delay-dependent robust control problem for a class of uncertain T-S fuzzy system with delay is presented. Based on a Lyapunov-Krasovskii functional and free-weighting matrices with time-delay, a new delay-dependent robust stability criterion is proposed and proved for the close-loop fuzzy system. Finally , simulation results are presented to show the effectiveness of the approach.
This note is concerned with the output feedback control problem for uncertain networked control systems with stochastic network induced delay and data packet dropout. The stochastic delay and data packet dropout are viewed as equivalent delay which is assumed to be satisfying a interval Bernoulli distribution. Due to the probability of the delay taking value in different intervals, a new approach...
The sliding mode control problem of a class of uncertain neutral delay systems is considered. By selecting a sliding surface depending on the current state and delayed state, the paper gives delay-independent sufficient condition and delay-dependent sufficient condition in terms of linear matrix inequalities(LMIs) such that the closed-loop system is guaranteed to be asymptotically stable. According...
This note is concerned with the delay-dependent H∞ control problem for singular Markovian jump time-delay systems. First, in terms of the Lyapunov technique and linear matrix inequalities, a delay-dependent bounded real lemma (BRL) is established. Then, based on this condition, a delay-dependent design algorithm for the desired state feedback controller is proposed in terms of a set of strict linear...
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.