TY - CONF

T1 - Synthesis of Razumikhin and Lyapunov-Krasovskii stability approaches for neutral type time delay systems

AU - Alexandrova, Irina V.

AU - Zhabko, Alexey P.

PY - 2016/12/16

Y1 - 2016/12/16

N2 - The paper presents a new criterion for exponential stability of linear neutral type time delay systems. It is based on the idea to supplement one of the classical conditions of the Krasovskii theorem, namely the positive definiteness of the functional, by a special set of functions satisfying a Razumikhin-type inequality and a similar inequality on the derivative. A functional, whose derivative is given as a negative definite quadratic form, is used. It is shown that this functional admits a quadratic lower bound on the mentioned set of functions.

AB - The paper presents a new criterion for exponential stability of linear neutral type time delay systems. It is based on the idea to supplement one of the classical conditions of the Krasovskii theorem, namely the positive definiteness of the functional, by a special set of functions satisfying a Razumikhin-type inequality and a similar inequality on the derivative. A functional, whose derivative is given as a negative definite quadratic form, is used. It is shown that this functional admits a quadratic lower bound on the mentioned set of functions.

UR - http://www.scopus.com/inward/record.url?scp=85010304271&partnerID=8YFLogxK

U2 - 10.1109/ICSTCC.2016.7790694

DO - 10.1109/ICSTCC.2016.7790694

M3 - Paper

AN - SCOPUS:85010304271

SP - 375

EP - 380

T2 - 20th International Conference on System Theory, Control and Computing, ICSTCC 2016

Y2 - 12 October 2016 through 14 October 2016

ER -