Lyapunov matrices for neutral time-delay systems with exponential kernel

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Lyapunov matrices for neutral time-delay systems with exponential kernel. / Aliseyko, A. N.

In: Systems and Control Letters, Vol. 131, 104497, 01.09.2019.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{09894ccba79041089f48ded793028661,

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, ROBUST STABILITY, FUNCTIONALS, Lyapunov-Krasovskii functionals",

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",

year = "2019",

month = sep,

day = "1",

doi = "10.1016/j.sysconle.2019.104497",

language = "English",

volume = "131",

journal = "Systems and Control Letters",

issn = "0167-6911",

publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Lyapunov matrices for neutral time-delay systems with exponential kernel

AU - Aliseyko, A. N.

N1 - 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

PY - 2019/9/1

Y1 - 2019/9/1

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

KW - ROBUST STABILITY

KW - FUNCTIONALS

KW - Lyapunov-Krasovskii functionals

UR - http://www.scopus.com/inward/record.url?scp=85069712886&partnerID=8YFLogxK

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

U2 - 10.1016/j.sysconle.2019.104497

DO - 10.1016/j.sysconle.2019.104497

M3 - Article

AN - SCOPUS:85069712886

VL - 131

JO - Systems and Control Letters

JF - Systems and Control Letters

SN - 0167-6911

M1 - 104497

ER -

ID: 45444197