[hal-00822718, v1] Integral inequality for time-varying delay systems
نویسندگان
چکیده
This paper considers the stability of time-varying delay systems. We develop some new integral inequalities which are proved to encompasses the celebrated Jensen’s inequality. These technical tools allow to construct simple LyapunovKrasovskii functionals very efficient in practice. Notice that our procedure is coupled with the use of the reciprocal convexity result in order to reduce the conservatism induced by the LMIs optimisation setup. The effectiveness of the proposed results is illustrated by some classical examples from the literature.
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[hal-00851306, v1] Stability of systems with fast-varying delay using improved Wirtinger's inequality
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