Stability analysis of continuous-time systems with time-varying delay using new Lyapunov-Krasovskii functionals
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Publication:1661966
DOI10.1016/j.jfranklin.2018.05.054zbMath1451.93336OpenAlexW2808048126MaRDI QIDQ1661966
Shengyuan Xu, Jun Chen, Juhyun Park
Publication date: 17 August 2018
Published in: Journal of the Franklin Institute (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfranklin.2018.05.054
Lyapunov and storage functions (93D30) 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
- Improvement on stability conditions for continuous-time T-S fuzzy systems
- Network-based \(H_\infty\) filtering using a logic jumping-like trigger
- Stability analysis of systems with time-varying delays via the second-order Bessel-Legendre inequality
- Multiple summation inequalities and their application to stability analysis of discrete-time delay systems
- 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
- Auxiliary function-based integral inequalities for quadratic functions and their applications to time-delay systems
- Finite-time multi-switching synchronization behavior for multiple chaotic systems with network transmission mode
- An improved reciprocally convex inequality and an augmented Lyapunov-Krasovskii functional for stability of linear systems with time-varying delay
- Global exponential estimates for uncertain Markovian jump neural networks with reaction-diffusion terms
- Relaxed conditions for stability of time-varying delay systems
- \( \mathcal{L}_2 - \mathcal{L}_\infty\) synchronization for singularly perturbed complex networks with semi-Markov jump topology
- Wirtinger-based integral inequality: application to time-delay systems
- Fault Detection Filtering for Nonlinear Switched Stochastic Systems
- Free-Matrix-Based Integral Inequality for Stability Analysis of Systems With Time-Varying Delay
- Notes on Stability of Time-Delay Systems: Bounding Inequalities and Augmented Lyapunov-Krasovskii Functionals
- Slow State Variables Feedback Stabilization for Semi-Markov Jump Systems With Singular Perturbations
- Improved delay-dependent stability criteria for time-delay systems
- Two general integral inequalities and their applications to stability analysis for systems with time‐varying delay
- Single/Multiple Integral Inequalities With Applications to Stability Analysis of Time-Delay Systems
- Stability of time-delay systems