On the necessity of looped-functionals arising in the analysis of pseudo-periodic, sampled-data and hybrid systems

DOI10.1080/00207179.2015.1050697zbMath1335.93084arXiv1407.8383OpenAlexW2963014785MaRDI QIDQ2799296

Alexandre Seuret, Corentin Briat

Publication date: 8 April 2016

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.8383

zbMATH Keywords

periodic systemshybrid systemssampled-data systemslooped-functionals

Mathematics Subject Classification ID

Sampled-data control/observation systems (93C57) Miscellaneous inequalities involving matrices (15A45) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Stability of control systems (93D99)

Related Items (8)

Extended dissipativity analysis for T-S fuzzy systems based on reliable memory control and aperiodic sampled-data method ⋮ A polynomial blossoming approach to stabilization of periodic time-varying systems ⋮ Dwell-time stability and stabilization conditions for linear positive impulsive and switched systems ⋮ A new looped-functional for stability analysis of sampled-data systems ⋮ Nonfragile consensus of nonlinear multiagent systems with intrinsic delays via aperiodic memory sampled‐data control ⋮ On the Stability Analysis of Sampled-Data Systems with Delays ⋮ Improved stability criteria for sampled-data systems using modified free weighting matrix ⋮ Theoretical and numerical comparisons of looped functionals and clock-dependent Lyapunov functions-The case of periodic and pseudo-periodic systems with impulses

Cites Work

• Solving semidefinite-quadratic-linear programs using SDPT3
• A looped-functional approach for robust stability analysis of linear impulsive systems
• A novel stability analysis of linear systems under asynchronous samplings
• Lyapunov conditions for input-to-state stability of impulsive systems
• Exponential stability of impulsive systems with application to uncertain sampled-data systems
• Global Stability Analysis of Nonlinear Sampled-Data Systems Using Convex Methods
• Convex Dwell-Time Characterizations for Uncertain Linear Impulsive Systems
• Affine Characterizations of Minimal and Mode-Dependent Dwell-Times for Uncertain Linear Switched Systems
• Stability Analysis of Sampled-Data Systems Using Sum of Squares
• Hybrid dynamical systems
• Supervisory control of families of linear set-point controllers - Part I. Exact matching

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