12 Papers
66 Citations
Jun Chen is an academic researcher from Nanjing University of Science and Technology. The author has contributed to research in topics: Orthogonal polynomials & Relaxed stability. The author has an hindex of 10, co-authored 12 publications. Previous affiliations of Jun Chen include Yeungnam University & Jiangsu Normal University.
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Papers
Single/Multiple Integral Inequalities With Applications to Stability Analysis of Time-Delay Systems
TL;DR: A new series of integral inequalities to bound a single integral term is presented by introducing some free matrices, which produces tighter bounds than some existing ones based on orthogonal polynomials defined in integral inner spaces.
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Two general integral inequalities and their applications to stability analysis for systems with time‐varying delay
TL;DR: In this article, the authors present two general integral inequalities from which almost all of the existing integral inequalities can be obtained, such as Jensen inequalities, the Wirtinger-based inequality, the Bessel-Legendre inequality, and the auxiliary function-based integral inequalities.
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Stability analysis of continuous-time systems with time-varying delay using new Lyapunov–Krasovskii functionals
TL;DR: Based on the new Lyapunov–Krasovskii functionals, more relaxed stability criteria are obtained and a proper quadratic functional is constructed in order to coordinate with the use of the third-order Bessel-Legendre inequality.
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Novel Summation Inequalities and Their Applications to Stability Analysis for Systems With Time-Varying Delay
TL;DR: A new sequence of novel summation inequalities is presented by introducing some free matrices, which includes the newly-developed Wirtinger-based and free-matrix-based summation inequality inequalities as special cases.
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A Note on Relationship Between Two Classes of Integral Inequalities
TL;DR: Two classes of integral inequalities with and without free matrices, respectively, are introduced and it is shown that these two different methods are actually equivalent in assessing the stability of time-delay systems.
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