New stability criteria for a class of neutral systems with discrete and distributed time-delays: An LMI approach.

DOI10.1016/S0096-3003(03)00302-3zbMath1043.93038MaRDI QIDQ1428591

Jenq-Der Chen

Publication date: 29 March 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

discrete systemslinear matrix inequalityasymptotic stabilityspectral radiusneutral systemsLMItime-delays

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Discrete-time control/observation systems (93C55) Asymptotic stability in control theory (93D20) Stability theory of functional-differential equations (34K20) Neutral functional-differential equations (34K40)

Related Items (5)

Stability of stochastic neural networks of neutral type with Markovian jumping parameters: a delay-fractioning approach ⋮ Quadratic stability and stabilization of switched dynamic systems with uncommensurate internal point delays ⋮ Robust stability and control for uncertain neutral time delay systems ⋮ Leakage-delay-dependent stability analysis of Markovian jumping linear systems with time-varying delays and nonlinear perturbations ⋮ Some sufficient conditions for exponential stability of linear neutral functional differential equations

Uses Software

• Genocop

Cites Work

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• Introduction to functional differential equations
• Asymptotic stability for a class of neutral systems with discrete and distributed time delays
• Asymptotic stability of neutral systems with multiple delays
• Stability conditions for a class of neutral systems with multiple time delays
• Discretized Lyapunov functional for systems with distributed delay and piecewise constant coefficients
• Linear Matrix Inequalities in System and Control Theory
• Delay-dependent robust stability and stabilization of uncertain linear delay systems: a linear matrix inequality approach
• Technical note Simple criteria for stability of neutral systems with multiple delays
• Dynamical compensation for time-delay systems: an LMI approach
• A delay-dependent stability criterion for systems with uncertain time-invariant delays
• Stability of some linear systems with delays
• Delay and its time-derivative dependent robust stability of time-delayed linear systems with uncertainty
• New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems
• Stability analysis for neutral delay-differential systems

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