Two-sided estimates on the attainability domains of controlled systems

DOI10.1016/0021-8928(82)90005-3zbMath0524.49027OpenAlexW2079626679MaRDI QIDQ584726

Felix L. Chernousko, Alexander Ovseevich

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-8928(82)90005-3

zbMATH Keywords

attainability domains of controlled systemsevolution of outer and inner ellipsoidal approximations

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Nonlinear ordinary differential equations and systems (34A34) Control problems involving ordinary differential equations (34H05) Integration of real functions of several variables: length, area, volume (26B15) Attainable sets, reachability (93B03) Control/observation systems governed by ordinary differential equations (93C15) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Approximations and expansions (41A99)

Related Items (6)

Equations of the dynamics of sets of reachability in problems of optimization and control under conditions of uncertainty ⋮ Equations of attainable set dynamics. I: Integral Funnel equation ⋮ Stabilization of linear controllable systems by means of bounded continuous nonlinear feedback control ⋮ On two-sided approximations of reachable sets of control systems with geometric constraints on the controls ⋮ Stabilization of linear controllable systems by means of bounded continuous nonlinear feedback control ⋮ Time optimal control problem for the waste water biotreatment model

Cites Work

• Numerical method of constructing attainability sets for a linear control system
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