Differential equations for ellipsoidal estimates for reachable sets of a nonlinear dynamical control system
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Publication:643797
DOI10.1134/S0081543810070072zbMath1226.93021MaRDI QIDQ643797
Publication date: 2 November 2011
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
differential inclusionsdynamical systemscontrol systemsreachable settrajectory tubesset-valued estimatesellipsoidal estimation
Nonlinear systems in control theory (93C10) Attainable sets, reachability (93B03) Control/observation systems governed by ordinary differential equations (93C15)
Related Items (8)
Estimates of reachable sets of control systems with nonlinearity and parametric perturbations ⋮ The method of uniform monotonous approximation of the reachable set border for a controllable system ⋮ On the construction of resolving control in the problem of getting close at a fixed time moment ⋮ Algorithm of uniform filling of nonlinear dynamic system reachable set based on maximin problem solution ⋮ Positional minimum principle for impulsive processes ⋮ A method for constructing a resolving control in an approach problem based on attraction to the feasibility set ⋮ Approximation of convex bodies by multiple objective optimization and an application in reachable sets ⋮ Differential games with fixed terminal time and estimation of the instability degree of sets in these games
Cites Work
- Unnamed Item
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- Equations of attainable set dynamics. I: Integral Funnel equation
- Error estimates for discretized differential inclusions
- Second order discrete approximations to strongly convex differential inclusions
- The Exponential Formula for the Reachable Set of a Lipschitz Differential Inclusion
- Second-Order Discrete Approximation to Linear Differential Inclusions
- Difference Methods for Differential Inclusions: A Survey
- Set-valued solutions to impulsive differential inclusions
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