Caputo-Wirtinger integral inequality and its application to stability analysis of fractional-order systems with mixed time-varying delays

DOI10.1016/j.amc.2023.128303MaRDI QIDQ6095141

Xiang Wu, Qian-Kun Song, Xujun Yang

Publication date: 11 October 2023

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

zbMATH Keywords

stabilityLyapunov-Krasovskii functionalfractional-order systemsmixed time-varying delaysCaputo-Wirtinger integral inequality

Mathematics Subject Classification ID

General theory for ordinary differential equations (34Axx) Model systems in control theory (93Cxx) Stability of control systems (93Dxx)

Cites Work

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• Stability analysis of linear fractional differential system with multiple time delays
• Delay-range-dependent stability for systems with time-varying delay
• New results on stability analysis for systems with discrete distributed delay
• Mittag-Leffler stability of fractional order nonlinear dynamic systems
• Fractional integral inequalities and applications
• Improved delay-range-dependent stability criteria for linear systems with time-varying delays
• Robust fault detection for networked systems with communication delay and data missing
• Delay-dependent stability analysis of neural networks with time-varying delay: a generalized free-weighting-matrix approach
• Fractional differential equations of Caputo-Katugampola type and numerical solutions
• A predictor-corrector approach for the numerical solution of fractional differential equations
• Hierarchical stability conditions for time-varying delay systems via an extended reciprocally convex quadratic inequality
• New fractional-order integral inequalities: application to fractional-order systems with time-varying delay
• New insights on stability of sampled-data systems with time-delay
• A new looped-functional for stability analysis of sampled-data systems
• Wirtinger-based integral inequality: application to time-delay systems
• Global asymptotic stability of fractional-order competitive neural networks with multiple time-varying-delay links
• Global synchronization of uncertain fractional-order BAM neural networks with time delay via improved fractional-order integral inequality
• Less conservative stability criteria for general neural networks through novel delay-dependent functional
• Free-Matrix-Based Integral Inequality for Stability Analysis of Systems With Time-Varying Delay
• Stability of time-delay systems
• Relaxed stability criteria of time-varying delay systems via delay-derivative-dependent slack matrices

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