A Lyapunov functional for a system with a time-varying delay-Reference-Cited by-同舟云学术

A Lyapunov functional for a system with a time-varying delay

Published:2012-06-01 Issue:2 Volume:22 Page:327-337
ISSN:1641-876X
Container-title:International Journal of Applied Mathematics and Computer Science
language:
Short-container-title:

Author:

Duda Józef

Abstract

A Lyapunov functional for a system with a time-varying delay The paper presents a method to determine a Lyapunov functional for a linear time-invariant system with an interval time-varying delay. The functional is constructed for the system with a time-varying delay with a given time derivative, which is calculated on the system trajectory. The presented method gives analytical formulas for the coefficients of the Lyapunov functional.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.degruyter.com/view/j/amcs.2012.22.issue-2/v10006-012-0024-7/v10006-012-0024-7.pdf

Reference24 articles.

1. Duda, J. (1986). Parametric Optimization Problem for Systems with Time Delay, Ph.D. thesis, AGH University of Science and Technology, Cracow.

2. Parametric optimization of neutral linear system with respect to the general quadratic performance index;J. Duda;Archiwum Automatyki i Telemechaniki,1988

3. Lyapunov functional for a linear system with two delays;J. Duda;Control & Cybernetics,2010a

4. Lyapunov functional for a linear system with two delays both retarded and neutral type;J. Duda;Archives of Control Sciences,2010b

5. New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems;E. Fridman;Systems & Control Letters,2001

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Fundamental Limitations of the Decay of Generalized Energy in Controlled (Discrete–Time) Nonlinear Systems Subject to State and Input Constraints;International Journal of Applied Mathematics and Computer Science;2019-12-01

2. LMI-Based Exponential Estimates for Time-Delay Nonlinear Descriptor Systems ⁎ ⁎This work has been supported by the postdoctoral fellowship for CVU 366627, the ITSON Projects PROFAPI CA-18 2017-0088 and 2018-1062, and PFCE 2016-17. Juan Carlos Arceo was student at ITSON under CONACYT scholarship 415714 during the realization of this work.;IFAC-PapersOnLine;2018

3. Lyapunov matrices approach to the parametric optimization of a neutral system with two delays;Mathematics and Computers in Simulation;2017-06

4. Global stability analysis of the equilibrium of an improved time-delayed dynamic model to describe the development of T cells in the thymus;Filomat;2017

5. Lyapunov Matrices Approach to the Parametric Optimization of a System with Two Delays;Archives of Control Sciences;2016-09-01