An ultimate state bound for a class of linear systems with delay

DOI10.1016/J.AUTOMATICA.2017.09.026zbMath1378.93056OpenAlexW2765301868MaRDI QIDQ680576

Ian R. Petersen, Tao Shen

Publication date: 23 January 2018

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1885/218625

zbMATH Keywords

bounded disturbancesMetzler matrixtime-varying linear systemsstate bounding

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (4)

State bounding for nonlinear time-varying systems with delay and disturbance ⋮ State bounding for fuzzy memristive neural networks with bounded input disturbances ⋮ Finite-time state bounding of homogeneous nonlinear positive systems with disturbance ⋮ State bounding for time-delay impulsive and switching genetic regulatory networks with exogenous disturbance

Cites Work

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• A new approach to state bounding for linear time-varying systems with delay and bounded disturbances
• Further result on reachable set bounding for linear uncertain polytopic systems with interval time-varying delays
• Robust exponential convergence of a class of linear delayed systems with bounded controllers and disturbances
• Reachable set bounding for delayed systems with polytopic uncertainties: the maximal Lyapunov-Krasovskii functional approach
• On reachable sets for linear systems with delay and bounded peak inputs.
• Reachable set bounding for nonlinear perturbed time-delay systems: the smallest bound
• Improved ellipsoidal bound of reachable sets for time-delayed linear systems with disturbances

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