Special bang-bang solutions for nonlinear control systems

DOI10.1007/BF01261179zbMath0832.93012OpenAlexW2085522746MaRDI QIDQ1895857

Graziano Crasta, Benedetto Piccoli

Publication date: 13 August 1995

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01261179

zbMATH Keywords

switchingsoptimalBolza problembang-bang solutions

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Variable structure systems (93B12) Control problems for functional-differential equations (34K35) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

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• Bang-bang and relay principles for time-dependent constraint sets
• On a classical problem of the calculus of variations without convexity assumptions
• Bang-bang property for Bolza problems in two dimensions
• On the closure of reachable sets for control systems
• Extremal solutions of a control system
• A General Theorem on Local Controllability
• The Structure of Time-Optimal Trajectories for Single-Input Systems in the Plane: The General Real Analytic Case
• The Existence Question in the Calculus of Variations: A Density Result
• A Nonconvex Variational Problem with Constraints
• Regular Synthesis for Time-Optimal Control of Single-Input Real Analytic Systems in the Plane
• Existence theorems in optimal control problems without convexity assumptions

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