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Zbl 1211.93067
Liu, Li-Li; Peng, Ji-Gen; Wu, Bao-Wei
On parameterized Lyapunov-Krasovskii functional techniques for investigating singular time-delay systems. (English)
[J] Appl. Math. Lett. 24, No. 5, 703-708 (2011). ISSN 0893-9659

Summary: The problem of robust stability of a singular time-delay system is investigated. A novel Lyapunov-Krasovskii Functional (LKF) is introduced which is a singular-type complete quadratic Lyapunov-Krasovskii functional with polynomial parameters. Stability conditions are derived in the form of linear matrix inequalities. Numerical examples are given to illustrate the effectiveness and lower conservatism of the new proposed stability criterion.

MSC 2000:: *93C15 Control systems governed by ODE
93D09 Robust stability of control systems
93D30 Scalar and vector Lyapunov functions

Keywords: singular system; stability analysis; Lyapunov-Krasovskii functional; linear matrix inequality

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Zentralblatt MATH Berlin [Germany]