TY - JOUR

T1 - Lyapunov - Krasovskii functionals for linear systems with input delay

AU - Aliseyko, A. N.

AU - Kharitonov, V. L.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - In this contribution, linear input delay system with predictor control is studied. The system has some specific properties. First, the time delay affects only the input variable and not the state one. Second, the integral presented in distributed delay term has an exponential type kernel. In this paper we provide the complete type Lyapunov-Krasovskii functionals that take into account these specific properties of the system. The functionals are applied to derive exponential bounds for the solutions of the system.

AB - In this contribution, linear input delay system with predictor control is studied. The system has some specific properties. First, the time delay affects only the input variable and not the state one. Second, the integral presented in distributed delay term has an exponential type kernel. In this paper we provide the complete type Lyapunov-Krasovskii functionals that take into account these specific properties of the system. The functionals are applied to derive exponential bounds for the solutions of the system.

KW - exponential estimate

KW - finite spectrum assignment

KW - Lyapunov matrix

KW - Lyapunov-Krasovskii functionals

KW - Time-delay system

UR - http://www.scopus.com/inward/record.url?scp=85081368745&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2019.12.200

DO - 10.1016/j.ifacol.2019.12.200

M3 - Conference article

AN - SCOPUS:85081368745

VL - 52

SP - 19

EP - 24

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8971

IS - 18

T2 - 15th IFAC Workshop on Time Delay Systems (TDS) jointly held with the 7th IFAC Symposium on System Structure and Control (SSSC)

Y2 - 9 September 2019 through 11 September 2019

ER -