Method for computing exterior and interior approximations to the reachability sets of bilinear differential systems

DOI10.1134/S0012266115080145zbMath1326.93012MaRDI QIDQ897045

V. V. Sinyakov

Publication date: 16 December 2015

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

zbMATH Keywords

Hamilton-Jacobi-Bellman equationgeometric constraintdynamic optimization problembilinear control systemsreachability sets

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Nonlinear systems in control theory (93C10) Geometric methods (93B27) Attainable sets, reachability (93B03)

Related Items (10)

Ellipsoidal Estimates of Reachable Sets for Nonlinear Control Systems with Bilinear Uncertainty ⋮ On Polyhedral Estimates of Reachable Sets of Discrete-Time Systems with Uncertain Matrices and Integral Bounds on Additive Terms ⋮ AN ALGORITHM FOR COMPUTING BOUNDARY POINTS OF REACHABLE SETS OF CONTROL SYSTEMS UNDER INTEGRAL CONSTRAINTS ⋮ Control Problems for Set-Valued Motions of Systems with Uncertainty and Nonlinearity ⋮ Asymptotic Behaviour of Controllability Gramians and Convexity of Small-Time Reachable Sets ⋮ Reachable Sets of Nonlinear Control Systems: Estimation Approaches ⋮ External polyhedral estimates of reachable sets of discrete-time systems with integral bounds on additive terms ⋮ On equivalence of major relaxation methods for minimum ellipsoid covering intersection of ellipsoids ⋮ Viscosity solutions to evolution problems of star-shaped reachable sets ⋮ On polyhedral estimation of reachable sets in the ``extended space for discrete-time systems with uncertain matrices and integral constraints

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