Advanced stability analysis for linear systems with time-varying delays via a generalized integral inequality

DOI10.1016/j.aml.2022.108566zbMath1519.93164MaRDI QIDQ6101813

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Publication date: 20 June 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

time delaylinear systemstability analysisintegral inequalityaugmented approaches

Mathematics Subject Classification ID

Control/observation systems governed by functional-differential equations (93C23) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Stability theory of functional-differential equations (34K20)

Related Items (1)

General stability criteria for time‐delay systems using a new delay‐dependent reciprocally convex inequality

Cites Work

• Reciprocally convex approach to stability of systems with time-varying delays
• Note on stability of linear systems with time-varying delay
• New results on stability analysis for systems with discrete distributed delay
• Generalized reciprocally convex combination lemmas and its application to time-delay systems
• Auxiliary function-based integral inequalities for quadratic functions and their applications to time-delay systems
• Generalized integral inequality: application to time-delay systems
• A generalized free-matrix-based integral inequality for stability analysis of time-varying delay systems
• A relaxed quadratic function negative-determination lemma and its application to time-delay systems
• Augmented zero equality approach to stability for linear systems with time-varying delay
• Wirtinger-based integral inequality: application to time-delay systems
• Some augmented approaches to the improved stability criteria for linear systems with time-varying delays
• Free-Matrix-Based Integral Inequality for Stability Analysis of Systems With Time-Varying Delay
• Stability of Linear Systems With Time-Varying Delays Using Bessel–Legendre Inequalities
• Existence of Continuous or Constant Finsler's Variables for Parameter-Dependent Systems
• Overview of recent advances in stability of linear systems with time‐varying delays

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