Optimal control problems with mixed constraints
F Clarke, MR De Pinho - SIAM Journal on Control and Optimization, 2010 - SIAM
We develop necessary conditions of broad applicability for optimal control problems in
which the state and control are subject to mixed constraints. We unify, subsume, and …
which the state and control are subject to mixed constraints. We unify, subsume, and …
Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints
JF Bonnans, A Hermant - Annales de l'Institut Henri Poincaré C, Analyse …, 2009 - Elsevier
This paper deals with the optimal control problem of an ordinary differential equation with
several pure state constraints, of arbitrary orders, as well as mixed control-state constraints …
several pure state constraints, of arbitrary orders, as well as mixed control-state constraints …
On optimal pursuit trajectories for visibility-based target-tracking game
R Zou, S Bhattacharya - IEEE Transactions on Robotics, 2018 - ieeexplore.ieee.org
In this paper, we address a class of visibility-based pursuit-evasion game in which a mobile
observer tries to maintain a line-of-sight (LOS) with a mobile target in an environment …
observer tries to maintain a line-of-sight (LOS) with a mobile target in an environment …
Variational approach to second-order optimality conditions for control problems with pure state constraints
D Hoehener - SIAM Journal on Control and Optimization, 2012 - SIAM
For optimal control problems with set-valued control constraints and pure state constraints
we propose new second-order necessary optimality conditions. In addition to the usual …
we propose new second-order necessary optimality conditions. In addition to the usual …
Second-order KKT optimality conditions for multiobjective optimal control problems
In this paper, we study second-order necessary and sufficient optimality conditions of Karush-
-Kuhn--Tucker type for local optimal solutions in the sense of Pareto to a class of …
-Kuhn--Tucker type for local optimal solutions in the sense of Pareto to a class of …
Second-order necessary optimality conditions for a class of semilinear elliptic optimal control problems with mixed pointwise constraints
Second-Order Necessary Optimality Conditions for a Class of Semilinear Elliptic Optimal Control
Problems with Mixed Pointwise Co Page 1 Copyright © by SIAM. Unauthorized reproduction of …
Problems with Mixed Pointwise Co Page 1 Copyright © by SIAM. Unauthorized reproduction of …
Pointwise second-order necessary conditions for stochastic optimal controls, Part II: The general case
H Zhang, X Zhang - SIAM Journal on Control and Optimization, 2017 - SIAM
This paper is the second part of our series of work to establish pointwise second-order
necessary conditions for stochastic optimal controls. In this part, we consider the general …
necessary conditions for stochastic optimal controls. In this part, we consider the general …
Second-order necessary conditions for stochastic optimal control problems
H Zhang, X Zhang - SIAM Review, 2018 - SIAM
The main purpose of this paper is to present some of our recent results about the second-
order necessary conditions for stochastic optimal controls with the control variable entering …
order necessary conditions for stochastic optimal controls with the control variable entering …
First-and second-order optimality conditions for optimal control problems of state constrained integral equations
This paper deals with optimal control problems of integral equations, with initial–final and
running state constraints. The order of a running state constraint is defined in the setting of …
running state constraints. The order of a running state constraint is defined in the setting of …
State-local optimality of a bang–bang trajectory: a Hamiltonian approach
L Poggiolini, G Stefani - Systems & Control Letters, 2004 - Elsevier
We give a sufficient condition for a bang–bang extremal ξ to be a strong local optimizer for
the minimum time problem with fixed endpoints. We underline that the conditions imply that …
the minimum time problem with fixed endpoints. We underline that the conditions imply that …