Hierarchical conditions for exponential stabilisation of time-varying delay systems using Bessel–Legendre inequalities and Finsler's lemma
From MaRDI portal
Publication:6170960
DOI10.1080/00207721.2023.2230207zbMath1520.93442WikidataQ124842176 ScholiaQ124842176MaRDI QIDQ6170960
Publication date: 10 August 2023
Published in: International Journal of Systems Science (Search for Journal in Brave)
linear matrix inequalityLyapunov-Krasovskii methodtime delay systemFinsler's lemmaBessel-Legendre inequalities
Cites Work
- Unnamed Item
- Predictor-based networked control under uncertain transmission delays
- 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
- LMI approach to exponential stability of linear systems with interval time-varying delays
- Hierarchy of LMI conditions for the stability analysis of time-delay systems
- A note on Wirtinger-type integral inequalities for time-delay systems
- Auxiliary function-based integral inequalities for quadratic functions and their applications to time-delay systems
- 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
- Two relaxed quadratic function negative-determination lemmas: application to time-delay systems
- Improved results on stability analysis of time-varying delay systems via delay partitioning method and Finsler's lemma
- Stability analysis of linear systems with time-varying delay via intermediate polynomial-based functions
- Finite-interval quadratic polynomial inequalities and their application to time-delay systems
- Stability analysis of nonlinear time-varying systems with bounded and unbounded delays
- Composite slack-matrix-based integral inequality and its application to stability analysis of time-delay systems
- Hierarchical stability conditions of systems with time-varying delay
- Further refinements in stability conditions for time-varying delay systems
- Stability analysis of impulsive stochastic delayed differential systems with unbounded delays
- A new delay system approach to network-based control
- Wirtinger-based integral inequality: application to time-delay systems
- Interval approximation method for stability analysis of time-delay systems
- Stability criteria for time-varying delay systems via an improved reciprocally convex inequality lemma
- A further refinement of discretized Lyapunov functional method for the stability of time-delay systems
- Delay-dependent stability and stabilization of neutral time-delay systems
- Stability of Linear Systems With Time-Varying Delays Using Bessel–Legendre Inequalities
- A novel descriptor redundancy method based on delay partition for exponential stability of time delay systems
- Stability analysis of linear time-varying system via flexible polynomial-based functions
- The construction of augmented Lyapunov-Krasovskii functionals and the estimation of their derivatives in stability analysis of time-delay systems: a survey
- Insight into the Stability Analysis of the Reaction-Diffusion Equation Interconnected with a Finite-Dimensional System Taking Support on Legendre Orthogonal Basis
- Improved robustH∞stability analysis and stabilization of uncertain systems with stochastic input time‐varying delays
- Improved robust stability criteria and design of robust stabilizing controller for uncertain linear time‐delay systems
- Stability of time-delay systems
- Stability analysis of T–S fuzzy systems with time-varying delay via parameter-dependent reciprocally convex inequality