Lyapunov stability tests for linear time-delay systems

نویسندگان

چکیده

An overview of stability conditions in terms the Lyapunov matrix for time-delay systems is presented. The main results and proofs are presented details case with multiple delays. state art, ongoing research potential extensions to other classes delay discussed. • necessary sufficient theorems form a positivity condition functional. Stability tests expressed system matrix. criteria that require finite number mathematical operations. A general framework applicable analysis linear

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Delay-Dependent Robust Asymptotically Stable for Linear Time Variant Systems

In this paper, the problem of delay dependent robust asymptotically stable for uncertain linear time-variant system with multiple delays is investigated. A new delay-dependent stability sufficient condition is given by using the Lyapunov method, linear matrix inequality (LMI), parameterized first-order model transformation technique and transformation of the interval uncertainty in to the norm ...

متن کامل

Further Results on the Stability Analysis for Linear Discrete Time-delay Systems: Lyapunov – Algebraic Approach

In this paper, the problem of stability analysis is investigated for a particular class linear discrete time-delay systems .The criteria are derived by Lyapunov’s direct method using minimization with respect to a scalar parameter and they are expressed by norm and eigenvalue of appropriate matrices. The derived results present new delay independent stability conditions for linear discrete time...

متن کامل

Exponential Delay-dependent Stability for Linear Discrete Time Delay Systems

To satisfy the performance specification and to have a good transient response of the system, the controlled system is often designed to possess a specific stability degree. If the controlled system has a stability degree  , we say that the system is exponentially stable. This paper gives sufficient condition for the exponential stability of linear discrete time delay systems. This new, delay-...

متن کامل

The Stability of Linear Discrete Time Delay Systems in the Sense of Lyapunov: An Overview

This paper gives a detailed an overview of the work and the results of many authors in the area of Lyapunov stability of particular class of linear discrete time delay systems. In that sense the discrete Lyapunov equation for discrete implicit systems is of particular interest. The stability robustness problem has been also treated. This survey covers the period since 2002 up to nowadays and ha...

متن کامل

Computing Lyapunov Exponents for Time-Delay Systems

The hall mark property of a chaotic attractor, namely sensitive dependence on initial condition, has been associated by the Lyapunov exponents to characterize the degree of exponential divergence/convergence of trajectories arising from nearby initial conditions. At first, we will describe briefly the concept of Lyapunov exponent and the procedure for computing Lyapunov exponents of the flow of...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Annual Reviews in Control

سال: 2022

ISSN: ['1872-9088', '1367-5788']

DOI: https://doi.org/10.1016/j.arcontrol.2022.09.001