An Effective Integral Quadratic Constraint Construction Approach for Stability Analysis of a Class of Systems with Time Delays

Min Zheng,Kang Li,Zheng Mao

doi:10.1007/978-3-662-45261-5_46

An Effective Integral Quadratic Constraint Construction Approach for Stability Analysis of a Class of Systems with Time Delays

Min Zheng, Kang Li + Show 1 more

https://doi.org/10.1007/978-3-662-45261-5_46

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Publication Date: Jan 1, 2014

Citations: 8

Affiliation: Shanghai University, Queen's University Belfast

#Quadratic Separation Framework #Integral Quadratic Constraints + Show 8 more

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Abstract

This paper proposes an effective method for the construction of Integral Quadratic Constraints(IQC) based on Quadratic Separation(QS) framework for the stability analysis of a wide range of systems with time delays. An unified framework for both the QS framework and the Lyapunov theory is proposed, an effective IQCs construction method for Lyapunov candidates is thus obtained. This method is then applied to the stability analysis of linear systems with time delays. Stability criteria are established based on the proposed approach. Numerical examples are finally provided to show its effectiveness.

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