Normality and nondegeneracy of the maximum principle in optimal impulsive control under state constraints
type: Item
instance of: scholarly article
title: Normality and nondegeneracy of the maximum principle in optimal impulsive control under state constraints
zbMATH Open document ID: 1436.49045
author: M. Motta
author: C. Sartori
published in: Journal of Optimization Theory and Applications
publication date: 2020-04-07T00:00:00Z
Mathematics Subject Classification ID: 49N25
Mathematics Subject Classification ID: 49J15
Mathematics Subject Classification ID: 34K45
zbMATH DE Number: 7187323
zbMATH Keywords: impulsive optimal control problems
zbMATH Keywords: maximum principle
zbMATH Keywords: state constraints
zbMATH Keywords: constraint qualifications
zbMATH Keywords: normality
zbMATH Keywords: degeneracy
MaRDI profile type: Publication
full work available at URL: s10957-020-01641-w
OpenAlex ID: W3009322633
cites work: An Extended Pontryagin Principle for Control Systems whose Control Laws Contain Measures
cites work: Variational Problems with Unbounded Controls
cites work: Q3799227
cites work: Method of discontinuous time change in problems of control for impulse and discrete-continuous systems
cites work: Space-time trajectories of nonlinear systems driven by ordinary and impulsive controls
cites work: On some extension of optimal control theory
cites work: On the properness of an impulsive control extension of dynamic optimization problems
cites work: When is the maximum principle for state constrained problems nondegenerate?
cites work: Nondegenerate necessary conditions for nonconvex optimal control problems with state constraints
cites work: Normality and nondegeneracy for optimal control problems with state constraints
cites work: Q5396001
cites work: On constraint qualifications for nondegenerate necessary conditions of optimality applied to optimal control problems
cites work: Regularity of the Hamiltonian Along Optimal Trajectories
cites work: A theorem on existence of neighbouring trajectories satisfying a state constraint, with applications to optimal control
cites work: Investigation of the Degeneracy Phenomenon of the Maximum Principle for Optimal Control Problems with State Constraints
cites work: Q2747318
cites work: Non-degenerate necessary optimality conditions for the optimal control problem with equality-type state constraints
cites work: A Nondegenerate Maximum Principle for the Impulse Control Problem with State Constraints
cites work: State constraints in impulsive control problems: Gamkrelidze-like conditions of optimality
cites work: Necessary conditions of the minimum in an impulse optimal control problem
cites work: Normality and gap phenomena in optimal unbounded control
cites work: Minimum time problem with impulsive and ordinary controls
cites work: Finite Fuel Problem in Nonlinear Singular Stochastic Control
cites work: Weakly Coercive Problems in Nonlinear Stochastic Control: Existence of Optimal Controls
cites work: Q4457523
cites work: A Higher-Order Maximum Principle for Impulsive Optimal Control Problems
cites work: Q4375488
cites work: Optimal control
cites work: Infimum gaps for limit solutions
cites work: Nonlinear systems with unbounded controls and state constraints: A problem of proper extension
cites work: Discontinuous solutions to unbounded differential inclusions under state constraints. Applications to optimal control problems
DOI: 10.1007/S10957-020-01641-W
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description: scientific article; zbMATH DE number 7187323