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

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