Improved results on stability of linear systems with time-varying delays via Wirtinger-based integral inequality

DOI10.1016/j.jfranklin.2014.09.021zbMath1393.93104OpenAlexW1969471037WikidataQ57590658 ScholiaQ57590658MaRDI QIDQ1660373

Y. Aharonov

Publication date: 16 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.2014.09.021

zbMATH Keywords

convex optimizationasymptotic stabilityaugmented Lyapunov functionalsimproved delay-dependent stability criterialinear systems with time-varying delays

Mathematics Subject Classification ID

Convex programming (90C25) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20)

Related Items

Monotone-delay-interval-based Lyapunov functionals for stability analysis of systems with a periodically varying delay, A novel summation inequality for stability analysis of discrete-time neural networks, Stability analysis for time delay systems via a generalized double integral inequality, A generalized double integral inequalities approach to stability analysis for time-delay systems, Relaxed conditions for stability of time-varying delay systems, Improved results on stability and stabilization criteria for uncertain linear systems with time-varying delays, Multiple integral inequalities and stability analysis of time delay systems, Robust finite time stabilization analysis for uncertain neural networks with leakage delay and probabilistic time-varying delays, On stability criteria for neural networks with time-varying delay using Wirtinger-based multiple integral inequality, Two novel general summation inequalities to discrete-time systems with time-varying delay, Improved stability conditions of time-varying delay systems based on new Lyapunov functionals, A \textit{Katz}-centrality-based protocol design for leader-following formation of discrete-time multi-agent systems with communication delays, Further results on stability analysis for Markovian jump systems with time-varying delays, On stability analysis for generalized neural networks with time-varying delays, A novel Lyapunov functional for stability of time-varying delay systems via matrix-refined-function, Finite-time sampled-data control of permanent magnet synchronous motor systems, A new stability criterion for systems with distributed time-varying delays via mixed inequalities method, Finite-interval quadratic polynomial inequalities and their application to time-delay systems, An improved reciprocally convex inequality and an augmented Lyapunov-Krasovskii functional for stability of linear systems with time-varying delay, Passivity and stability analysis of neural networks with time-varying delays via extended free-weighting matrices integral inequality, Augmented zero equality approach to stability for linear systems with time-varying delay, A generalized multiple-integral inequality and its application on stability analysis for time-varying delay systems, New approaches to stability analysis for time-varying delay systems, Non-fragile sampled-data stabilization analysis for linear systems with probabilistic time-varying delays, Some augmented approaches to the improved stability criteria for linear systems with time-varying delays, Stability analysis of fractional-order neural networks with time-varying delay utilizing free-matrix-based integral inequalities, Stability analysis of systems with time‐varying delay via a delay‐product‐type integral inequality, A survey of inequality techniques for stability analysis of time‐delay systems, Stability analysis of systems with cyclical delay via an improved delay-monotonicity-dependent Lyapunov functional, Dynamic event‐triggered control for Markovian jump linear systems with time‐varying delay, Novel Lyapunov-Krasovskii functional with delay-dependent matrix for stability of time-varying delay systems, \(H_\infty\) load frequency control of power systems with multiple time-varying delays via improved reciprocally convex inequality, Further improvement of Jensen inequality and application to stability of time-delayed systems, New types of general single/multiple integral inequalities, Improved inequality-based functions approach for stability analysis of time delay system, Stability analysis of systems with time-varying delays using overlapped switching Lyapunov Krasovskii functional, Robust stability criteria for uncertain systems with interval time-varying delay based on multi-integral functional approach, Network-based control of nonlinear large-scale systems composed of identical subsystems, The stability analysis of time-varying delayed systems based on new augmented vector method, Improved stability criteria for linear systems with interval time-varying delays: generalized zero equalities approach, Master-slave synchronization for nonlinear systems via reliable control with Gaussian stochastic process, On backwards and forwards reachable sets bounding for perturbed time-delay systems, Hierarchy of stability criterion for time-delay systems based on multiple integral approach, Multiple-integral inequalities to stability analysis of linear time-delay systems, A novel delay partitioning method for stability analysis of interval time-varying delay systems, Hierarchical stability conditions of systems with time-varying delay, An improved stability criterion of neural networks with time-varying delays in the form of quadratic function using novel geometry-based conditions, Orthogonal-polynomials-based integral inequality and its applications to systems with additive time-varying delays, Advanced stability criteria for linear systems with time-varying delays, Recent progress in stability and stabilization of systems with time-delays, \(H_\infty\) sampled-data control for singular neutral system, Event-triggered control for active vehicle suspension systems with network-induced delays, Hierarchical stability conditions for time-varying delay systems via an extended reciprocally convex quadratic inequality, Event-triggered stability analysis of semi-Markovian jump networked control system with actuator faults and time-varying delay via Bessel-Legendre inequalities, Stability analysis of systems with time-varying delay via novel augmented Lyapunov-Krasovskii functionals and an improved integral inequality, Stability and stabilization of T-S fuzzy systems with time-varying delays via augmented Lyapunov-Krasovskii functionals, Improved stability conditions for uncertain neutral-type systems with time-varying delays, Synchronization of Lur'e systems via stochastic reliable sampled-data controller, Enhanced stability criteria of neural networks with time-varying delays via a generalized free-weighting matrix integral inequality, Dissipative filtering for singular Markov jump systems with generally uncertain transition rates via new integral inequality approach, An extended reciprocally convex matrix inequality and its application to stability analysis of systems with additive time-varying delays, A delay-range-partition approach to analyse stability of linear systems with time-varying delays, Reliable control for linear systems with time-varying delays and parameter uncertainties, Wirtinger integral inequalities for pseudo-integrals and pseudo-additive measure, Stability analysis for linear time-delay systems using new inequality based on the second-order derivative, Observer-based control for uncertain T–S fuzzy systems with process disturbances and time-delays, New stability criteria of singular systems with time-varying delay via free-matrix-based integral inequality, An improved stability result for linear time-delay system using a new Lyapunov–Krasovskii functional and extended reciprocally convex inequality

Uses Software

• SeDuMi

Cites Work

• Unnamed Item
• A new augmented Lyapunov-Krasovskii functional approach for stability of linear systems with time-varying delays
• Reciprocally convex approach to stability of systems with time-varying delays
• Note on stability of linear systems with time-varying delay
• Delay-dependent criteria for robust stability of time-varying delay systems
• Novel robust stability criteria for uncertain systems with time-varying delay
• Delay-range-dependent stability for systems with time-varying delay
• Improved delay-range-dependent stability criteria for linear systems with time-varying delays
• Introduction to functional differential equations
• Delay effects on stability. A robust control approach
• Time-delay systems: an overview of some recent advances and open problems.
• Stability and robust stability for systems with a time-varying delay
• Wirtinger-based integral inequality: application to time-delay systems
• A new result on the delay-dependent stability of discrete systems with time-varying delays
• Delay-dependent stability and stabilization of neutral time-delay systems
• New stability and stabilization conditions for systems with time-delay
• An augmented model for robust stability analysis of time-varying delay systems
• A survey of linear matrix inequality techniques in stability analysis of delay systems
• Linear Matrix Inequalities in System and Control Theory
• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• A delay-dependent stability criterion for systems with uncertain time-invariant delays
• New delay-interval stability condition
• New insight into delay‐dependent stability of time‐delay systems
• On Improved Delay-Dependent Robust Control for Uncertain Time-Delay Systems
• A New Model Transformation of Discrete-Time Systems With Time-Varying Delay and Its Application to Stability Analysis
• Stability of time-delay systems