On approximate solvability set construction in a guidance problem for a time-invariant control system on a finite time interval

DOI10.20537/vm170205zbMath1387.37081OpenAlexW2741119339MaRDI QIDQ4639854

Grigory V. Parshikov

Publication date: 11 May 2018

Published in: Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.20537/vm170205

zbMATH Keywords

control systemattainability setguidance problemsolvability setsolvability set approximation

Mathematics Subject Classification ID

Dynamical systems in control (37N35) Simulation of dynamical systems (37M05) Control/observation systems governed by ordinary differential equations (93C15) Discrete approximations in optimal control (49M25)

Cites Work

• A method for constructing a resolving control in an approach problem based on attraction to the feasibility set
• Construction of set-valued estimates of reachable sets for some nonlinear dynamical systems with impulsive control
• Estimates of reachable sets of multidimensional control systems with nonlinear interconnections
• Ellipsoidal calculus for estimation and control
• The approach problem of a nonlinear controlled system in a finite time interval
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