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 -