Linear time delay systems

This paper concerns a problem of finite-time stability for a class of linear singular large-scale systems with delays. Based on matrix transformations, Lyapunov function method combined with new estimation techniques, we derive sufficient conditions for solving the finite-time stability of the system. A numerical example is given to illustrate the validity and effectiveness of the theoretical results.

11p vijaychest 24-04-2024 2 1   Download

This paper proposes a unified approach to study global exponential stability for a class of switched time-delay linear systems described by general linear functional differential equations.

12p vimulcahy 18-09-2023 4 4   Download

In this work "An application of Razumikhin theorem to exponential stability for linear non-autonomous systems with time-varying delay", in the light of the Razumikhin stability theorem combined with the Newton–Leibniz formula, a new delay-dependent exponential stability condition is first derived for linear non-autonomous time delay systems without using model transformation and bounding techniques on the derivative of the time-varying delay function. The condition is presented in terms of the solution of Riccati differential equations.

6p runordie5 04-07-2022 6 1   Download

In the paper "Delay feedback control in exponential stabilization of linear time-varying systems with input delay", the authors investigate the memory controller design for the exponential stabilization of linear timevarying systems with control delay. Based on state transformation and an improved Lyapunov–Krasovskii functional, new sufficient conditions for the exponential stabilization of the system are derived to design memory feedback controller which makes the system exponentially stabilizable.

15p runordie5 04-07-2022 7 3   Download

This paper "Delay-Dependent Exponential Stability of Linear Systems with Fast Time-Varying Delay" presents new exponential stability conditions for a class of linear systems with time-varying delay. Unlike the previous works, the delay function considered in this paper is time-varying without any requirement on the derivative, which means that a fast time-varying delay is allowed.

9p runordie5 04-07-2022 4 2   Download

In the paper "On L∞-Induced stabilization of positive linear systems with distributed delays" consider the stabilization problem under L∞-gain scheme for positive linear systems with distributed time delays. Novelty and main contribution of this paper are two points. First, a characterization of L∞-gain is reformulated using novel comparison techniques involving steady states of upper scaled systems with peak values of exogenous disturbances.

10p runordie3 27-06-2022 17 3   Download

The paper "Global exponential stability of switched neutral systems with time-varying delays" deals with the problem of global exponential stability for a class of switched neutral systems with time-varying delays. Based on improved Lyapunov-Krasovskii functional method combined with the Leibniz-Newton formula, linear matrix inequalities (LMIs) conditions are proposed for the exponential stability of the considered systems under arbitrary switching signal. A numerical example showing the effectiveness of our conditions is given.

9p runordie3 27-06-2022 9 3   Download

This paper concerns with a problem of supoptimal finite-time control for a class of linear large-scale delay systems. The system under consideration is subjected to the state and control delays interacted between subsystems. Based on improved LMI approach combining with new estimation techniques, we derive sufficient conditions for solving H∞ finite-time control and guaranteed cost control of the system. A numerical example is given to illustrate the validity and effectiveness of the theoretical results.

15p spiritedaway36 25-11-2021 13 1   Download

This paper presents a new result on delay-dependent exponential stability for nonlinear linear systems with interval time-varying delay. By constructing a set of improved Lyapunov-Krasovskii functionals combined with Wirtinger-based integral inequality, a new delay-dependent condition is established in terms of linear matrix inequality (LMI) which guarantees that the system is exponential stability.

8p trinhthamhodang1218 18-03-2021 6 0   Download

This paper deals with the problem of exponential stability for singular systems with interval time-varying delays. By constructing a set of improved Lyapunov-Krasovskii functionals combined with Newton-Leibniz formula, a new delay-dependent condition is established in terms of linear matrix inequalities (LMIs) which guarantees that the system is regular, impulse-free and exponentially stability.

11p trinhthamhodang1218 18-03-2021 11 1   Download

This paper deals with the problem of exponential stability of two-dimensional (2D) discrete-time systems with mixed directional time-varying delays. By constructing an improved 2D Lyapunov-Krasovskii functional candidate some new delay-dependent condition for the exponential stability of the system are derived in terms of linear matrix inequalities (LMIs).

11p trinhthamhodang1218 18-03-2021 7 0   Download

In this paper, the problem of exponential stability for a class of nonlinear neutral systems with interval time-varying delay is studied. Based on improved Lyapunov-Krasovskii functionals combine with Leibniz-Newton’s formula, new delay-dependent sufficient conditions for the exponential stability of the systems are established in terms of linear matrix inequalities (LMIs), which allows to compute the maximal bound of the exponential stability rate of the solution.

11p tamynhan8 04-11-2020 13 1   Download

This paper addresses the problem of ℋ∞ finite-time boundedness for discrete-time neural networks with interval-like time-varying delays. First, a delay-dependent finite-time boundedness criterion under the finite-time ℋ ∞ performance index for the system is given based on constructing a set of adjusted Lyapunov–Krasovskii functionals and using reciprocally convex approach.

14p tamynhan6 14-09-2020 14 0   Download

The following will be discussed in this chapter: Exponential unit sample response, General transfer function of a causal DT LTI system with distinct poles, delay-adder-gain system, defining properties of DT state-space models.

6p nanhankhuoctai3 25-05-2020 17 0   Download

The stability problem for a class of stochastic neural networks with Markovian jump parameters and leakage delay is addressed in this study. The sufficient condition to ensure an exponentially stable stochastic neural networks system is presented and proven with Lyapunov functional theory, stochastic stability technique and linear matrix inequality method.

13p vivalletta2711 11-01-2020 7 0   Download

This paper is concerned with the problem of practical stability of linear time-varying delay systems in the presence of bounded disturbances. Based on some comparison techniques associated with positive systems, explicit delay-independent conditions are derived for determining a neighborhood of the origin which ultimately bounds all state trajectories of the system.

16p vimoskva2711 02-01-2020 9 0   Download

The stability analysis of linear time invariant delay differential- algebraic equations (DDAEs) is analyzed. Examples are delivered to demonstrate that the eigenvalue-based approach to analyze the exponential stability of dynamical systems is not valid for an arbitrarily high index system, and hence, a new concept of weak exponential stability (w.e.s) is proposed. Then, we characterize the w.e.s in term of a spectral condition for some special classes of DDAEs.

13p cathydoll4 21-02-2019 40 0   Download

This paper addresses the problem of designing of positive interval observers for linear functions of the state vector of linear positive systems with time-varying unknown delays. We provide upper bound and lower bound of linear functions of the state vector.

16p tonymina21 05-12-2018 35 1   Download

This paper deals with the problem of asymptotic stability for a class of nonlinear discrete-time systems with time-varying delay. The time-varying delay is assumed to be belong to a given interval, in which the lower bound of delay is not restricted to zero. A linear matrix inequality (LMI) approach to asymptotic stability of the system is presented. Based on constructing improved Lyapunov functionals, delay-depenent criteria for the asymptotic stability of the system are established via linear matrix inequalities. A numerical example is given to show the effectiveness of the result..

5p vision1234 30-06-2018 33 1   Download

This paper deals with the problem of asymptotic stability for a class of switched nonlineardiscrete systems with time-varying delay. The time-varying delay is assumed to be belong to a given interval in which the lower bound of delay is not restricted to zero. A linear matrix inequality (LMI) approach to asymptotic stability of the system is presented. Based on the Lyapunov functional, delay-depenent criteria for the asymptotic stability of the system are established via linear matrix inequalities.

6p doctorstrange1 21-06-2018 30 1   Download