A generalized free-matrix-based integral inequality for stability analysis of time-varying delay systems
From MaRDI portal
Publication:2011071
DOI10.1016/j.amc.2019.02.009zbMath1428.34112OpenAlexW2916021631WikidataQ128322095 ScholiaQ128322095MaRDI QIDQ2011071
Wei Wang, Hong-Bing Zeng, Xiao-Gui Liu
Publication date: 28 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2019.02.009
Linear systems in control theory (93C05) Stability theory of functional-differential equations (34K20) Linear functional-differential equations (34K06) Inequalities for sums, series and integrals (26D15)
Related Items (70)
Monotone-delay-interval-based Lyapunov functionals for stability analysis of systems with a periodically varying delay ⋮ Extended dissipativity analysis for T-S fuzzy systems based on reliable memory control and aperiodic sampled-data method ⋮ On designing Lyapunov-Krasovskii functional for time-varying delay T-S fuzzy systems ⋮ Consensus of multi-agent systems with state and input delays via non-fragile protocol ⋮ Bessel-type inequality in semi-inner-product spaces and its application to stability analysis of discrete-time systems with distributed delays ⋮ Impulsive sampled-data controller design for synchronization of delayed T-S fuzzy Hindmarsh-Rose neuron model ⋮ A generalized multiple-integral inequality based on free matrices: application to stability analysis of time-varying delay systems ⋮ Non-fragile control with event-triggered scheme for networked control systems under probabilistic time-varying delays ⋮ Improved results on stability analysis of time-varying delay systems via delay partitioning method and Finsler's lemma ⋮ New Lyapunov-Krasovskii functional for stability analysis of linear systems with time-varying delay ⋮ ynchronization of T-S Fuzzy Sampled-data Controller for H-R Neuron Model With Delay using a New Looped-Functional ⋮ Reachable set estimation for Markov jump LPV systems with time delays ⋮ Less conservative stability criteria for general neural networks through novel delay-dependent functional ⋮ Reducing conservatism of stability criteria for linear systems with time-varying delay using an improved triple-integral inequality ⋮ Delay-dependent stability criteria of delayed positive systems with uncertain control inputs: application in mosquito-borne morbidities control ⋮ Bipartite synchronization for inertia memristor-based neural networks on coopetition networks ⋮ An improved reciprocally convex inequality and its application to time-varying delay systems ⋮ Some augmented approaches to the improved stability criteria for linear systems with time-varying delays ⋮ Positivity and stability of fractional-order linear time-delay systems ⋮ Stability and dissipativity criteria for neural networks with time-varying delays via an augmented zero equality approach ⋮ Hidden Markov model-based asynchronous quantized sampled-data control for fuzzy nonlinear Markov jump systems ⋮ Extended dissipative analysis of affine transformed IT2 fuzzy control systems with time delay and disturbances ⋮ Exponential stability analysis of neural networks with a time‐varying delay via a generalized Lyapunov‐Krasovskii functional method ⋮ Further results on stability analysis of delayed neural networks via a parameter-dependent quadratic function negative-definiteness lemma ⋮ Nonfragile consensus of nonlinear multiagent systems with intrinsic delays via aperiodic memory sampled‐data control ⋮ Stability analysis of systems with cyclical delay via an improved delay-monotonicity-dependent Lyapunov functional ⋮ 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 ⋮ Advanced stability analysis for linear systems with time-varying delays via a generalized integral inequality ⋮ Additional functions of variable-augmented-based free-weighting matrices and application to systems with time-varying delay ⋮ Secure synchronization control for a class of complex time-delay dynamic networks against denial-of-service attacks ⋮ General stability criteria for time‐delay systems using a new delay‐dependent reciprocally convex inequality ⋮ Robust \(H_\infty\) control for uncertain T-S fuzzy systems with state and input time delays: a time-varying matrix-dependent zero-equality method ⋮ An extended generalized integral inequality based on free matrices and its application to stability analysis of neural networks with time-varying delays ⋮ A novel memory stabilization controller design for descriptor Markovian jump systems with time-varying delays ⋮ New results on sliding mode control for polynomial fuzzy singular systems with time‐varying delay ⋮ Improved results on reachable set estimation for singularly perturbed systems with time-varying delay ⋮ Generalized state estimation criteria for additive delayed memristor neural networks including leakage delay effect-flux-charge domain applications in energy storage systems ⋮ Improved synchronization and extended dissipativity analysis for delayed neural networks with the sampled-data control ⋮ 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 ⋮ Stability analysis of linear systems with time-varying delay via some novel techniques ⋮ Stability analysis of nonlinear time-varying systems with bounded and unbounded delays ⋮ Stability analysis of systems with time-varying delays using overlapped switching Lyapunov Krasovskii functional ⋮ Reduced-order filtering for semi-Markovian jump systems against randomly occurring false data injection attacks ⋮ Uniform stabilization of 1-d wave equation with anti-damping and delayed control ⋮ Composite slack-matrix-based integral inequality and its application to stability analysis of time-delay systems ⋮ A note on \(L_2\)-gain analysis for power systems with delayed load frequency control schemes ⋮ Hierarchical stability conditions of systems with time-varying delay ⋮ Hierarchical stability conditions for time-varying delay systems via an extended reciprocally convex quadratic inequality ⋮ Dissipativity-based sampled-data control for fuzzy Markovian jump systems ⋮ A new approach to generalized dissipativity analysis for fuzzy systems with coupling memory sampled-data control ⋮ Stability and stabilization for delayed fuzzy systems via reciprocally convex matrix inequality ⋮ Further refinements in stability conditions for time-varying delay systems ⋮ On Hopf bifurcation and control for a delay systems ⋮ On the time-varying Halanay inequality with applications to stability analysis of time-delay systems ⋮ New insights on stability of sampled-data systems with time-delay ⋮ Some novel necessary and sufficient conditions of exponential stability for discrete-time systems with multiple delays: a Lyapunov matrix approach ⋮ Delayed proportional-integral control for offshore steel jacket platforms ⋮ Improvement on reciprocally convex combination lemma and quadratic function negative-definiteness lemma ⋮ New results on stability analysis of systems with time-varying delays using a generalized free-matrix-based inequality ⋮ Observer-based exponential stabilization for time-delay systems via augmented weighted integral inequality ⋮ Stability and stabilization of delayed fuzzy systems via a novel quadratic polynomial inequality ⋮ Master-slave synchronization for time-varying delay chaotic Lur'e systems based on the integral-term-related free-weighting-matrices technique ⋮ An equivalent condition for stability analysis of LTI systems with bounded time-invariant delay ⋮ Two relaxed quadratic function negative-determination lemmas: application to time-delay systems ⋮ Adaptive quantitative exponential synchronization in multiplex Cohen-Grossberg neural networks under deception attacks ⋮ Exponential sampled-data control for T–S fuzzy systems: application to Chua's circuit ⋮ Practical stability of a nonlinear system with delayed control input ⋮ A non-conservative state feedback control methodology for linear systems with state delay
Cites Work
- Improved delay-dependent stability criteria for T-S fuzzy systems with time-varying delay
- Stability analysis of systems with time-varying delay via relaxed integral inequalities
- Linear parameter-varying and time-delay systems. Analysis, observation, filtering \& control
- 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
- Delay-dependent criteria for robust stability of time-varying delay systems
- Hierarchy of LMI conditions for the stability analysis of time-delay systems
- Abel lemma-based finite-sum inequality and its application to stability analysis for linear discrete 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
- Improved delay-range-dependent stability criteria for linear systems with time-varying delays
- Auxiliary function-based integral inequalities for quadratic functions and their applications to time-delay systems
- 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
- Improved stability criteria for linear systems with interval time-varying delays: generalized zero equalities approach
- Affine Bessel-Legendre inequality: application to stability analysis for systems with time-varying delays
- Stability analysis of Lur'e systems with additive delay components via a relaxed matrix inequality
- Sampled-data stabilization of chaotic systems based on a T-S fuzzy model
- Sampled-data-based dissipative control of t-s fuzzy systems
- Comparison of bounding methods for stability analysis of systems with time-varying delays
- Relaxed conditions for stability of time-varying delay systems
- A novel Lyapunov functional for stability of time-varying delay systems via matrix-refined-function
- Improved criteria for sampled-data synchronization of chaotic Lur'e systems using two new approaches
- A new looped-functional for stability analysis of sampled-data systems
- Novel Lyapunov-Krasovskii functional with delay-dependent matrix for stability of time-varying delay systems
- Synchronization of a complex dynamical network with coupling time-varying delays via sampled-data control
- Introduction to time-delay systems. Analysis and control
- Wirtinger-based integral inequality: application to time-delay systems
- Delay-Variation-Dependent Stability of Delayed Discrete-Time Systems
- Free-Matrix-Based Integral Inequality for Stability Analysis of Systems With Time-Varying Delay
- New Results on Output Feedback <formula formulatype="inline"> <tex Notation="TeX">$H_{\infty} $</tex></formula> Control for Linear Discrete-Time Systems
- A survey of linear matrix inequality techniques in stability analysis of delay systems
- 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
- Nonfragile $H_{\infty}$ Filtering of Continuous-Time Fuzzy Systems
- New delay range–dependent stability criteria for interval time‐varying delay systems via Wirtinger‐based inequalities
- New insight into delay‐dependent stability of time‐delay systems
- Convergence and Equivalence Results for the Jensen's Inequality—Application to Time-Delay and Sampled-Data Systems
- Single/Multiple Integral Inequalities With Applications to Stability Analysis of Time-Delay Systems
- Stability and Stabilization of Systems with Time Delay
- Stability of time-delay systems
This page was built for publication: A generalized free-matrix-based integral inequality for stability analysis of time-varying delay systems