TY - JOUR

T1 - Constructing Lyapunov–Krasovskii functionals for linear positive continuous time difference systems

AU - Александров, Александр Юрьевич

PY - 2024/12/1

Y1 - 2024/12/1

N2 - In this paper, a linear positive functional difference system with discrete and distributed delays is studied. It is proved that if the considered system is exponentially stable, then it admits both linear and diagonal quadratic Lyapunov–Krasovskii functionals. In addition, new exponential stability conditions for switched linear positive functional difference systems are obtained on the basis of a constructive approach to the design of common Lyapunov–Krasovskii functionals for the associated families of subsystems.

AB - In this paper, a linear positive functional difference system with discrete and distributed delays is studied. It is proved that if the considered system is exponentially stable, then it admits both linear and diagonal quadratic Lyapunov–Krasovskii functionals. In addition, new exponential stability conditions for switched linear positive functional difference systems are obtained on the basis of a constructive approach to the design of common Lyapunov–Krasovskii functionals for the associated families of subsystems.

KW - Lyapunov–Krasovskii functional

KW - delay

KW - linear functional difference system

KW - positive system

KW - stability

KW - switching

UR - https://academic.oup.com/imamci/article-abstract/41/4/634/7823645?redirectedFrom=fulltext

UR - https://www.mendeley.com/catalogue/75f34ce1-25dd-351b-acc0-b26a619d0fcc/

U2 - 10.1093/imamci/dnae029

DO - 10.1093/imamci/dnae029

M3 - Article

VL - 41

SP - 634

EP - 646

JO - IMA Journal of Mathematical Control and Information

JF - IMA Journal of Mathematical Control and Information

SN - 0265-0754

IS - 4

ER -