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Approximations of Lyapunov-Krasovskii functionals of complete type with given cross terms in the derivative for the stability of time delay systems

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2 Author(s)
Ochoa, B.M. ; CINVESTAV-IPN, Mexico ; Mondie, S.

Sufficient conditions expressed in terms of the piecewise linear approximation of the Lyapunov matrix of the time delay system for the derivative condition and the bound condition of the Lyapunov-Krasovskii stability Theorem are provided. These conditions can be utilized to verify if a given constructed Lyapunov matrix or its approximation gives rise to a functional that satisfies the Lyapunov-Krasovskii theorem. They can also be employed in a constructive manner.

Published in:

Decision and Control, 2007 46th IEEE Conference on

Date of Conference:

12-14 Dec. 2007