Reachable set bounding for nonlinear perturbed time-delay systems: the smallest bound

DOI10.1016/j.aml.2014.11.015zbMath1310.93029OpenAlexW2087442520MaRDI QIDQ2344426

Pubudu N. Pathirana, Hieu Minh Trinh

Publication date: 15 May 2015

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

Full work available at URL: https://doi.org/10.1016/j.aml.2014.11.015

zbMATH Keywords

nonlinear time-delay systemsbounded disturbancesreachable sets

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Perturbations in control/observation systems (93C73) Attainable sets, reachability (93B03) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (23)

Reachable set bounding for a class of nonlinear time-varying systems with delay ⋮ Componentwise ultimate bounds for positive discrete time-delay systems perturbed by interval disturbances ⋮ On reachable sets for positive linear systems under constrained exogenous inputs ⋮ Improved reachable set estimation for positive systems: a polyhedral approach ⋮ Reachable set estimation for a class of nonlinear time-varying systems ⋮ Componentwise state bounding of positive time-delay systems with disturbances bounded by a time-varying function ⋮ Switched systems approach to state bounding for time delay systems ⋮ Reachable sets bounding for switched systems with time-varying delay and bounded disturbances ⋮ Exponential estimate with a time-varying factor for positive discrete-time systems with time-delays ⋮ On backwards and forwards reachable sets bounding for perturbed time-delay systems ⋮ Minimization of State Bounding for Perturbed Positive Systems with Delays ⋮ An ultimate state bound for a class of linear systems with delay ⋮ Estimation and synthesis of reachable set for singular Markovian jump systems ⋮ Further results on reachable set bounding for discrete-time system with time-varying delay and bounded disturbance inputs ⋮ Linear functional state bounding for positive systems with disturbances varying within a bounded set ⋮ State bounding for nonlinear time-varying systems with delay and disturbance ⋮ Relaxed results on reachable set estimation of time-delay systems with bounded peak inputs ⋮ State bounding for fuzzy memristive neural networks with bounded input disturbances ⋮ Finite-time state bounding of homogeneous nonlinear positive systems with disturbance ⋮ Reachable set bounding for homogeneous nonlinear systems with delay and disturbance ⋮ Estimation and synthesis of reachable set for delta operator systems ⋮ Interval functional observers for time‐delay systems with additive disturbances ⋮ State bounding for time-delay impulsive and switching genetic regulatory networks with exogenous disturbance

Cites Work

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• A note on reachable set bounding for delayed systems with polytopic uncertainties
• Reachable set bounding for linear discrete-time systems with delays and bounded disturbances
• Reachable set estimation and controller design for distributed delay systems with bounded disturbances
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• Improved ellipsoidal bound of reachable sets for time-delayed linear systems with disturbances
• Stability Analysis for Continuous-Time Positive Systems With Time-Varying Delays
• Dissipativity Theory for Nonnegative and Compartmental Dynamical Systems With Time Delay

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