Hierarchical stability conditions and iterative reciprocally high-order polynomial inequalities for two types of time-varying delay systems
DOI10.1016/J.AUTOMATICA.2024.111526zbMATH Open1537.93547MaRDI QIDQ6546814
Chengjie Xu, Zhichen Li, Huaicheng Yan, Zheng-Liang Zhai, Shiming Chen
Publication date: 30 May 2024
Published in: Automatica (Search for Journal in Brave)
time-varying delaynegative definite conditionshierarchical Lyapunov-Krasovskii functionaliterative reciprocally high-order polynomial
Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Hierarchical systems (93A13) Delay control/observation systems (93C43)
Cites Work
- Stability analysis of systems with time-varying delay via relaxed integral inequalities
- 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
- 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
- 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
- Tutorial on Lyapunov-based methods for time-delay systems
- An extended reciprocally convex matrix inequality for stability analysis of systems with time-varying delay
- Hierarchical stability conditions for time-varying delay systems via an extended reciprocally convex quadratic inequality
- A generalized free-matrix-based integral inequality for stability analysis of time-varying delay systems
- Stability analysis of linear systems with time-varying delay via intermediate polynomial-based functions
- 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
- Augmented zero equality approach to stability for linear systems with time-varying delay
- Hierarchical stability conditions of systems with time-varying delay
- Further refinements in stability conditions for time-varying delay systems
- Comparison of bounding methods for stability analysis of systems with time-varying delays
- New delay-dependent stability criteria for systems with interval delay
- Stability analysis of systems with uncertain time-varying delays
- Introduction to time-delay systems. Analysis and control
- Wirtinger-based integral inequality: application to time-delay systems
- Sufficient conditions for a class of matrix-valued polynomial inequalities on closed intervals and application to \(H_\infty\) filtering for linear systems with time-varying delays
- Notes on Stability of Time-Delay Systems: Bounding Inequalities and Augmented Lyapunov-Krasovskii Functionals
- Stability of Linear Systems With Time-Varying Delays Using Bessel–Legendre Inequalities
- Delay-dependent stability and H ∞ control: Constant and time-varying delays
- Overview of recent advances in stability of linear systems with time‐varying delays
- Stability of time-delay systems
This page was built for publication: Hierarchical stability conditions and iterative reciprocally high-order polynomial inequalities for two types of time-varying delay systems
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6546814)