Lyapunov matrices for neutral time-delay systems with exponential kernel

Research output

Abstract

In this contribution we study the problem of finding a Lyapunov matrix for neutral-type systems with distributed delay and exponential kernel. In previous works an attempt was made to reduce this problem to the computation of solutions to an auxiliary delay-free system with boundary conditions. In this paper we propose new boundary conditions allowing a significant extension of existing results. It is established that the new auxiliary boundary value problem has a unique solution if and only if there exists a unique Lyapunov matrix.

Original languageEnglish
Article number104497
JournalSystems and Control Letters
Volume131
DOIs
Publication statusPublished - 1 Sep 2019

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Time delay
Boundary conditions
Boundary value problems

Scopus subject areas

  • Control and Systems Engineering
  • Computer Science(all)
  • Mechanical Engineering
  • Electrical and Electronic Engineering

Cite this

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title = "Lyapunov matrices for neutral time-delay systems with exponential kernel",
abstract = "In this contribution we study the problem of finding a Lyapunov matrix for neutral-type systems with distributed delay and exponential kernel. In previous works an attempt was made to reduce this problem to the computation of solutions to an auxiliary delay-free system with boundary conditions. In this paper we propose new boundary conditions allowing a significant extension of existing results. It is established that the new auxiliary boundary value problem has a unique solution if and only if there exists a unique Lyapunov matrix.",
keywords = "Lyapunov matrices, Lyapunov–Krasovskii functionals, Stability, Time-delay systems",
author = "Aliseyko, {A. N.}",
note = "Aliseyko, A. N. (2019). Lyapunov matrices for neutral time-delay systems with exponential kernel. Systems & Control Letters, 131, 104497. https://doi.org/10.1016/j.sysconle.2019.104497",
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N2 - In this contribution we study the problem of finding a Lyapunov matrix for neutral-type systems with distributed delay and exponential kernel. In previous works an attempt was made to reduce this problem to the computation of solutions to an auxiliary delay-free system with boundary conditions. In this paper we propose new boundary conditions allowing a significant extension of existing results. It is established that the new auxiliary boundary value problem has a unique solution if and only if there exists a unique Lyapunov matrix.

AB - In this contribution we study the problem of finding a Lyapunov matrix for neutral-type systems with distributed delay and exponential kernel. In previous works an attempt was made to reduce this problem to the computation of solutions to an auxiliary delay-free system with boundary conditions. In this paper we propose new boundary conditions allowing a significant extension of existing results. It is established that the new auxiliary boundary value problem has a unique solution if and only if there exists a unique Lyapunov matrix.

KW - Lyapunov matrices

KW - Lyapunov–Krasovskii functionals

KW - Stability

KW - Time-delay systems

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UR - http://www.mendeley.com/research/lyapunov-matrices-neutral-timedelay-systems-exponential-kernel

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JF - Systems and Control Letters

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