Hierarchical stability conditions for time-varying delay systems via an extended reciprocally convex quadratic inequality
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Publication:2005407
DOI10.1016/j.jfranklin.2020.07.034zbMath1448.93257OpenAlexW3046077266MaRDI QIDQ2005407
Yong He, Hui-Chao Lin, Wei Wang, Hong-Bing Zeng, Kok Lay Teo
Publication date: 7 October 2020
Published in: Journal of the Franklin Institute (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfranklin.2020.07.034
Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Delay control/observation systems (93C43)
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Cites Work
- Stability analysis of systems with time-varying delay via relaxed integral inequalities
- Razumikhin and Krasovskii stability theorems for time-varying time-delay systems
- Stability analysis of systems with time-varying delays via the second-order Bessel-Legendre inequality
- Reciprocally convex approach to stability of systems with time-varying delays
- Note on stability of linear systems with time-varying delay
- Delay-range-dependent stability for systems with time-varying delay
- Hierarchy of LMI conditions for the stability analysis of time-delay systems
- Further improvement of Jensen inequality and application to stability of time-delayed systems
- New results on stability analysis for systems with discrete distributed delay
- Improved delay-range-dependent stability criteria for linear systems with time-varying delays
- New conditions for delay-derivative-dependent stability
- Generalized reciprocally convex combination lemmas and its application to time-delay systems
- Improved results on stability of linear systems with time-varying delays via Wirtinger-based integral inequality
- Auxiliary function-based integral inequalities for quadratic functions and their applications to time-delay systems
- An extended reciprocally convex matrix inequality for stability analysis of systems with time-varying delay
- An improved reciprocally convex inequality and an augmented Lyapunov-Krasovskii functional for stability of linear systems with time-varying delay
- A generalized free-matrix-based integral inequality for stability analysis of time-varying delay systems
- A relaxed quadratic function negative-determination lemma and its application to time-delay systems
- Finite-interval quadratic polynomial inequalities and their application to time-delay systems
- Resilient fault-tolerant anti-synchronization for stochastic delayed reaction-diffusion neural networks with semi-Markov jump parameters
- Bessel-Laguerre inequality and its application to systems with infinite distributed delays
- New insights on stability of sampled-data systems with time-delay
- New results on stability analysis of systems with time-varying delays using a generalized free-matrix-based inequality
- Relaxed conditions for stability of time-varying delay systems
- New delay-dependent stability criteria for systems with interval delay
- Delay-dependent methods and the first delay interval
- Wirtinger-based integral inequality: application to time-delay systems
- Delay-Variation-Dependent Stability of Delayed Discrete-Time Systems
- Free-Matrix-Based Integral Inequality for Stability Analysis of Systems With Time-Varying Delay
- Delay-Dependent Reciprocally Convex Combination Lemma for the Stability Analysis of Systems with a Fast-Varying Delay
- An augmented model for robust stability analysis of time-varying delay systems
- Overview of recent advances in stability of linear systems with time‐varying delays
- Convergence and Equivalence Results for the Jensen's Inequality—Application to Time-Delay and Sampled-Data Systems
- Stability of time-delay systems
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