Polynomials-based integral inequality for stability analysis of linear systems with time-varying delays
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Publication:1691200
DOI10.1016/j.jfranklin.2016.12.025zbMath1378.93094OpenAlexW2562505967MaRDI QIDQ1691200
Seok Young Lee, Won Il Lee, Poo Gyeon Park
Publication date: 15 January 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.2016.12.025
linear systemsstability analysistime-varying delaysWirtinger-based integral inequalityfree-matrix-based integral inequalitypolynomials-based integral inequality
Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05)
Related Items (11)
Generalized reciprocally convex combination lemmas and its application to time-delay systems ⋮ A generalized multiple-integral inequality based on free matrices: application to stability analysis of time-varying delay systems ⋮ Stability analysis of generalized neural networks with fast-varying delay via a relaxed negative-determination quadratic function method ⋮ Hidden Markov model-based asynchronous quantized sampled-data control for fuzzy nonlinear Markov jump systems ⋮ A survey of inequality techniques for stability analysis of time‐delay systems ⋮ An extended generalized integral inequality based on free matrices and its application to stability analysis of neural networks with time-varying delays ⋮ Comparison of some bounding inequalities applied in stability analysis of time-delay systems ⋮ Bessel summation inequalities for stability analysis of discrete‐time systems with time‐varying delays ⋮ Orthogonal-polynomials-based integral inequality and its applications to systems with additive time-varying delays ⋮ An extended reciprocally convex matrix inequality and its application to stability analysis of systems with additive time-varying delays ⋮ Exponential stability analysis of time-delay systems based on Taylor expansion-based weighted integral inequality
Cites Work
- Analysis on robust image performance and stability for linear systems with interval time-varying state delays via some new augmented Lyapunov-Krasovskii functional
- Improved criteria on robust stability and \(\mathcal{H}_\infty\) performance for linear systems with interval time-varying delays via new triple integral functionals
- Sampled-data \(H_\infty\) synchronization of chaotic Lur'e systems with time delay
- A novel approach on stabilization for linear systems with time-varying input delay
- Improved approach to robust stability and \(\mathcal H_\infty\) performance analysis for systems with an interval time-varying delay
- Reciprocally convex approach to stability of systems with time-varying delays
- Time-delay systems: an overview of some recent advances and open problems.
- Stability of stochastic neural networks of neutral type with Markovian jumping parameters: a delay-fractioning approach
- Auxiliary function-based integral inequalities for quadratic functions and their applications to time-delay systems
- Improved stability criteria for linear systems with interval time-varying delays: generalized zero equalities approach
- Synchronization criteria of Lur'e systems with time-delay feedback control
- Stability of Markovian jump neural networks with impulse control and time varying delays
- New delay-dependent stability criteria for systems with interval delay
- Improved approaches to stability criteria for neural networks with time-varying delays
- Stability and robust stability for systems with a time-varying delay
- On \(H_{\infty}\) control for linear systems with interval time-varying delay
- Wirtinger-based integral inequality: application to time-delay systems
- Free-Matrix-Based Integral Inequality for Stability Analysis of Systems With Time-Varying Delay
- FuzzyH∞filtering for nonlinear Markovian jump neutral systems
- Delay-dependent robust stabilization of uncertain state-delayed systems
- A delay-dependent stability criterion for systems with uncertain time-invariant delays
- Optimal partitioning method for stability analysis of continuous/discrete delay systems
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