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Improved Delay-derivative-dependent Stability Criteria for Linear Systems Using New Bounding Techniques

Ji-yao An
International Journal of Control, Automation, and Systems, vol. 15, no. 2, pp.939-946, 2017

Abstract : "In this letter, the problem of delay-derivative-dependent stability analysis for linear systems with interval delay is investigated. By constructing variable delay-decomposition Lyapunov-Krasovskii (LK) functional, some delay-derivative-dependent stability criteria are derived by incorporating with different bounding techniques to estimate some integral terms in the derivative of the LK functional. These criteria are efficient when the upper bound of delay derivative is larger than one. These criteria improve the existing ones with smaller computation burden and less conservatism, which are shown through numerical examples."

Keyword : Interval time-varying delay, linear system, Lyapunov-Krasovskii (LK) functional, maximum allowable delay bound (MADB), stability.

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