Ellipsoidal reachability sets of linear time-varying systems in estimation and control problems

DOI10.1134/S00122661190110041zbMath1435.93034OpenAlexW2995421925WikidataQ126589988 ScholiaQ126589988MaRDI QIDQ2300693

Ruslan S. Biryukov, Dmitry V. Balandin, Mark M. Kogan

Publication date: 28 February 2020

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s00122661190110041

zbMATH Keywords

linear time-varying systemsellipsoidal reachability sets

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Attainable sets, reachability (93B03)

Related Items (2)

Control and estimation in linear time-varying systems based on ellipsoidal reachability sets ⋮ Robust finite-time control and reachable set estimation for uncertain switched neutral systems with time delays and input constraints

Cites Work

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• Properties of the optimal ellipsoids approximating the reachable sets of uncertain systems
• Ellipsoidal and interval estimation of state vectors for families of linear and nonlinear discrete-time dynamic systems
• Ellipsoidal calculus for estimation and control
• Multi-objective generalized \(H_2\) control
• Reach set computation and control synthesis for discrete-time dynamical systems with disturbances
• Finite-horizon multi-objective generalized \(H_2\) control with transients
• Regression and the Moore-Penrose pseudoinverse

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