Sufficient quadratic conditions of extremum for discontinuous controls in optimal control problems with mixed constraints
type: Item
instance of: scholarly article
title: Sufficient quadratic conditions of extremum for discontinuous controls in optimal control problems with mixed constraints
zbMATH Open document ID: 1234.49032
published in: Journal of Mathematical Sciences (New York)
publication date: 2011-07-18T00:00:00Z
Mathematics Subject Classification ID: 49N10
zbMATH DE Number: 5924755
zbMATH Keywords: sufficient optimality conditions for discontinuous controls
zbMATH Keywords: ordinary differential equations
zbMATH Keywords: initial-final state constraints
zbMATH Keywords: mixed state-control constraints
zbMATH Keywords: bounded strong minimum
author: Nikolai P. Osmolovskii
MaRDI profile type: Publication
full work available at URL: s10958-011-0233-x
OpenAlex ID: W2009194722
cites work: Second order optimality conditions for the \(L_ 1\)-minimization problem
cites work: Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints
cites work: Q4040624
cites work: Q4129369
cites work: Q3935031
cites work: Jacobi-type conditions for the problem of Bolza with inequalities
cites work: Q3752160
cites work: Q3915536
cites work: Second-Order Optimality Conditions in Sets of ${\text{L}}^\infty $ Functions with Range in a Polyhedron
cites work: On ${\text{L}}^2 $ Sufficient Conditions and the Gradient Projection Method for Optimal Control Problems
cites work: Second-order necessary conditions in optimal control: Accessory-problem results without normality conditions
cites work: Q4081896
cites work: Q5518679
cites work: On second-order sufficient optimality conditions for c 1,1-optimization problems
cites work: Higher order necessary conditions in optimal control theory
cites work: Q4196953
cites work: Q4274229
cites work: Stability and sensitivity of solutions to nonlinear optimal control problems
cites work: Sufficient Optimality Conditions for Optimal Control Subject to State Constraints
cites work: Stability and sensitivity analysis for optimal control problems with control-state constraints
cites work: First and second order sufficient optimality conditions in mathematical programming and optimal control
cites work: Second Order Sufficient Conditions for Optimal Control Problems with Free Final Time: The Riccati Approach
cites work: Q5426478
cites work: Second Order Sufficient Conditions for Time-Optimal Bang-Bang Control
cites work: Second-order sufficient conditions for control problems with mixed control-state constraints
cites work: Convex-valued Lipschitzian differential inclusions and the Pontryagin maximum principle
cites work: Q4001472
cites work: High-order conditions for a minimum on a set of sequences in the abstract problem with inequality constraints
cites work: High-order conditions for a minimum on a set of sequences in the abstract problem with inequality and equality constraints
cites work: High-order conditions with respect to a subsystem of constraints in the abstract minimization problem on a set of sequences
cites work: Necessary conditions and sufficient conditions of weak minimum for solutions with corner points
cites work: Another Jacobi sufficiency criterion for optimal control with smooth constraints
cites work: Q4133048
cites work: Q4126050
cites work: Quadratic extremality conditions for broken extremals in the general problem of the calculus of variations
cites work: Jacobi conditions and the Riccati equation for a broken extremal
cites work: Transformation of quadratic forms to perfect squares for broken extremals
cites work: Q5323189
cites work: Q5440842
cites work: Second Order Optimality Conditions for Controls with Continuous and Bang-Bang Components
cites work: Sufficiency conditions for weak local minima in multidimensional optimal control problems with mixed control-state restrictions
cites work: Q5727849
cites work: A NECESSARY AND SUFFICIENT CONDITION FOR A STRONG EXTREMUM IN A DEGENERATE PROBLEM OF THE CALCULUS OF VARIATIONS
cites work: Sufficiency Criteria via Focal Points and via Coupled Points
cites work: The Riccati Equation for Optimal Control Problems with Mixed State-Control Constraints: Necessity and Sufficiency
DOI: 10.1007/S10958-011-0233-X
description: scientific article; zbMATH DE number 5924755