Results 11 to 20 of about 15,520,018 (169)
Necessary Conditions for Optimal Impulsive Control Problems
SIAM Journal on Control and Optimization, 1997 Summary: Necessary conditions of optimality, in the form of a maximum principle, are derived for a class of optimal control problems, certain of whose controls are represented by measures and whose state trajectories are functions of bounded variation.
Silva, G. N., Vinter, R. B.
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Second-Order Necessary Optimality Conditions in Optimal Impulsive Control Problems
Differential Equations, 2018 This paper can be divided into two parts: In the first part, authors provide necessary optimality conditions associated to an impulse control problem. Such conditions are obtained through the use of the maximum principle method by using also what authors call as ``Frobenius conditions''.
Arutyunov A.V. +3 more
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Optimal control governed impulsive neutral differential equations
Results in Control and OptimizationWe derive Pontryagin’s Maximum Principle for optimal control problems characterized by nonlinear impulsive neutral type differential equations.
Oscar Camacho +2 more
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A new sufficient condition for optimal impulsive control problems
2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012 In this article we introduce the concept of MP-pseudoinvexity for general nonlinear impulsive optimal control problems whose dynamics are specified by measure driven control equations. This is a general paradigm in that, both the absolutely continuous and singular components of the dynamics depend on both the state and the control variables.
Valeriano Antunes de Oliveira +2 more
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Necessary optimality conditions for impulsive control problems *
IFAC Proceedings Volumes, 2004 Abstract In this article, we present first and second order necessary conditions of optimality for impulsive control problems recently obtained by the authors. Two kind of results are discussed: first order necessary conditions of optimaiity for the free time optimal control problem with state and control constraints and second order necessary ...
Arutyunov A. +3 more
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On optimal control problems with impulsive commutative dynamics [PDF]
52nd IEEE Conference on Decision and Control, 2013 This article will appear in the Proceedings of the 52nd IEEE Conference on Decision and Control ...
Maria Soledad Aronna, Franco Rampazzo
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A Higher-Order Maximum Principle for Impulsive Optimal Control Problems [PDF]
SIAM Journal on Control and Optimization, 2020 We consider a nonlinear system, affine with respect to an unbounded control $u$ which is allowed to range in a closed cone. To this system we associate a Bolza type minimum problem, with a Lagrangian having sublinear growth with respect to $u$. This lack of coercivity gives the problem an {\it impulsive} character, meaning that minimizing sequences of ...
Maria Soledad Aronna +2 more
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Optimal impulse control problems and linear programming [PDF]
Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, 2009 Optimal impulse control problems are, in general, difficult to solve. A current research goal is to isolate those problems that lead to tractable solutions. In this paper, we identify a special class of optimal impulse control problems which are easy to solve. Easy to solve means that solution algorithms are polynomial in time and therefore suitable to
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Model Predictive Control for Linear Impulsive Systems [PDF]
, 2012 Linear Impulsive Control Systems have been extensively studied with respect to their equilibrium points which, in most cases, are no other than the origin.
Panagiotis Patrinos +9 more
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Consistent Approximations to Impulsive Optimal Control Problem
Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, 2017 We analyse the theory of consistent approximations given by Polak and we use it in an impulsive optimal control problem. We reparametrize the original system and build consistent approximations for this new reparametrized problem. So, we prove that if a sequence of solution of the consistent approximations is converging, it will converge to a solution ...
Porto, Daniella +2 more
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