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 …

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 …

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 …

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 …

Second-order KKT optimality conditions for multiobjective optimal control problems

BT Kien, NV Tuyen, JC Yao - SIAM Journal on Control and Optimization, 2018 - SIAM
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 …

Second-order necessary optimality conditions for a class of semilinear elliptic optimal control problems with mixed pointwise constraints

BT Kien, VH Nhu - SIAM Journal on Control and Optimization, 2014 - SIAM
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 …

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 …

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 …

First-and second-order optimality conditions for optimal control problems of state constrained integral equations

JF Bonnans, C De La Vega, X Dupuis - Journal of Optimization Theory and …, 2013 - Springer
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 …

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 …