Parametrised auxiliary function-based integral inequality for time delay system

DOI10.1080/00207721.2024.2335212zbMATH Open1544.93451MaRDI QIDQ6595617

S. Mahto

Publication date: 30 August 2024

Published in: International Journal of Systems Science. Principles and Applications of Systems and Integration (Search for Journal in Brave)

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Delay control/observation systems (93C43)

Cites Work

• Reciprocally convex approach to stability of systems with time-varying delays
• Delay-dependent criteria for robust stability of time-varying delay systems
• Improved results on stability of linear systems with time-varying delays via Wirtinger-based integral inequality
• Auxiliary function-based integral inequalities for quadratic functions and their applications to time-delay systems
• Stability analysis of continuous-time systems with time-varying delay using new Lyapunov-Krasovskii functionals
• An improved reciprocally convex inequality and an augmented Lyapunov-Krasovskii functional for stability of linear systems with time-varying delay
• Affine Bessel-Legendre inequality: application to stability analysis for systems with time-varying delays
• Relaxed conditions for stability of time-varying delay systems
• Delay-dependent stabilization of linear systems with time-varying state and input delays
• Wirtinger-based integral inequality: application to time-delay systems
• Delay-dependent robust stabilization of uncertain state-delayed systems
• A delay-dependent stability criterion for systems with uncertain time-invariant delays
• 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
• Further Improvement of Free-Weighting Matrices Technique for Systems With Time-Varying Delay
• Convergence and Equivalence Results for the Jensen's Inequality—Application to Time-Delay and Sampled-Data Systems
• Stability of time-delay systems

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