Lipschitz regularity of solution map of control systems with multiple state constraints

DOI10.3934/dcds.2012.32.1zbMath1236.93083OpenAlexW2315617987MaRDI QIDQ765035

Piernicola Bettiol, Hélène Frankowska

Publication date: 19 March 2012

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2012.32.1

zbMATH Keywords

state constraintsdifferential inclusioncontrol systemmetric regularityinverse mapping theoremLipschitz dependence on initial conditions

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Ordinary differential inclusions (34A60) Control problems involving ordinary differential equations (34H05) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for problems in abstract spaces (49K27)

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