Hierarchical stability conditions of systems with time-varying delay
From MaRDI portal
Publication:2243207
DOI10.1016/j.amc.2021.126222OpenAlexW3143653154MaRDI QIDQ2243207
Zheng-Liang Zhai, Hong-Bing Zeng, Wei Wang
Publication date: 11 November 2021
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2021.126222
Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34Kxx) Ordinary differential equations (34-XX) Stability of control systems (93Dxx) Systems theory; control (93-XX)
Related Items (13)
Novel stability criterion for linear system with two additive time-varying delays using general integral inequalities ⋮ An improved reciprocally convex inequality and its application to time-varying delay systems ⋮ Stability analysis of systems with cyclical delay via an improved delay-monotonicity-dependent Lyapunov functional ⋮ Novel stability criteria of generalized neural networks with time-varying delay based on the same augmented LKF and bounding technique ⋮ Two novel stability criteria for linear systems with interval time-varying delays ⋮ Relaxed stability criteria of time-varying delay systems via delay-derivative-dependent slack matrices ⋮ Novel inequality-based functions for the stability of time-varying delay systems ⋮ Robust stability and \(\mathcal{H}_\infty\) control for networked control systems with transmission delay and its application to 2 DoF laboratory helicopter ⋮ Hierarchical conditions for exponential stabilisation of time-varying delay systems using Bessel–Legendre inequalities and Finsler's lemma ⋮ Hierarchical stability conditions for linear systems with interval time-varying delay ⋮ Stability criteria for time-varying delay systems via an improved reciprocally convex inequality lemma ⋮ Exponential stability of neural networks with a time-varying delay via a cubic function negative-determination lemma ⋮ Practical stability of a nonlinear system with delayed control input
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
- Note on stability of linear systems with time-varying delay
- Orthogonal-polynomials-based integral inequality and its applications to systems with additive 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
- New results on stability analysis for systems with discrete distributed delay
- 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
- Stability analysis of continuous-time systems with time-varying delay using new Lyapunov-Krasovskii functionals
- 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
- Delay-dependent stability analysis of neural networks with time-varying delay: a generalized free-weighting-matrix approach
- 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
- 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
- Extended dissipative sliding mode control for nonlinear networked control systems via event-triggered mechanism with random uncertain measurement
- Comparison of bounding methods for stability analysis of systems with time-varying delays
- Relaxed conditions for stability of time-varying delay systems
- New delay-dependent stability criteria for systems with interval delay
- A novel Lyapunov functional for stability of time-varying delay systems via matrix-refined-function
- A new looped-functional for stability analysis of sampled-data systems
- Stability and robust stability for systems with a time-varying delay
- Stability analysis of systems with uncertain time-varying delays
- Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays
- Delay-dependent stabilization of linear systems with time-varying state and input delays
- Wirtinger-based integral inequality: application to time-delay systems
- Event-based secure \(\mathcal{H}_\infty\) load frequency control for delayed power systems subject to deception attacks
- Novel delay-derivative-dependent stability criteria using new bounding techniques
- 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
- Stability of Linear Systems With Time-Varying Delays Using Bessel–Legendre Inequalities
- Overview of recent advances in stability of linear systems with time‐varying delays
- New insight into delay‐dependent stability of time‐delay systems
- A descriptor system approach to H/sub ∞/ control of linear time-delay systems
- Further Improvement of Free-Weighting Matrices Technique for Systems With Time-Varying Delay
- Less conservative results on stability for linear systems with a time‐varying delay
- Stability of time-delay systems
This page was built for publication: Hierarchical stability conditions of systems with time-varying delay
