Delay-Dependent Criteria for Absolute Stability of Time-Varying Delay Lurie Control Systems

Wen Fang Xin; Shu Li Guo; Li Na Han

doi:10.4028/www.scientific.net/AMM.740.234

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 740Delay-Dependent Criteria for Absolute Stability of...

Delay-Dependent Criteria for Absolute Stability of Time-Varying Delay Lurie Control Systems

Abstract:

A new method for constructing a Lyapunov-Razumikhn function to deal with the stability problem of time-varying delay nonlinear uncertain system is presented in this paper. A quadratic trinomial with two variables（ξ,Τ）is obtained, and then the upper bound of the allowable delay Τ can be obtained by solving the optimization problem with varying positive matrix Q. That is to say, we can obtain the optimal combination of Τ and Q matrix.

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Periodical:

Applied Mechanics and Materials (Volume 740)

Pages:

234-237

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.740.234

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Online since:

March 2015

Authors:

Wen Fang Xin*, Shu Li Guo, Li Na Han

Keywords:

Lurie Control System, Lyapunov-Razumikhn, Stability, Time-Varying Delay

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