Lyapunov-Krasovskii approach to the robust stability analysis of time-delay systems

Authors:
V. L. Kharitonov;A. P. Zhabko
Affiliations:
CINVESTAV-IPN, Automatic Control Department, A.P. 14-740, Mexico, DF 07300, Mexico;Applied Mathematics and Control Processes Department, St.-Petersburg State University, 198904, St.-Petersburg, Russia
Venue:
Automatica (Journal of IFAC)
Year:
2003

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Abstract

In this paper, a procedure for construction of quadratic Lyapunov-Krasovskii functionals for linear time-delay systems is proposed. It is shown that these functionals admit a quadratic low bound. The functionals are used to derive robust stability conditions.