Results 11 to 20 of about 2,031,705 (284)
Dynamic consistency for Stochastic Optimal Control problems [PDF]
, 2010 For a sequence of dynamic optimization problems, we aim at discussing a notion of consistency over time. This notion can be informally introduced as follows.
Carpentier, Pierre +4 more
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Duality on Geodesics of Cartan Distributions and Sub-Riemannian Pseudo-Product Structures
Demonstratio Mathematica, 2015 Given a five dimensional space endowed with a Cartan distribution, the abnormal geodesics form another five dimensional space with a cone structure. Then it is shown in (15), that, if the cone structure is regarded as a control system, then the space of ...
Ishikawa Goo +2 more
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Stability Analysis of Optimal Trajectory for Nonlinear Optimal Control Problems
Journal of Mathematics, 2020 Due to the need for numerical calculation and mathematical modelling, this paper focuses on the stability of optimal trajectories for optimal control problems.
Hongyong Deng, Wei Zhang, Changchun Shen
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On Signomial Constrained Optimal Control Problems
Communications in Advanced Mathematical Sciences, 2019 In this paper, using the notions of variational differential system, adjoint differential system and modified Legendrian duality, we formulate and prove necessary optimality conditions in signomial constrained optimal control problems.
Savin Treanta
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Constrained optimization problems governed by PDE models of grain boundary motions
Advances in Nonlinear Analysis, 2022 In this article, we consider a class of optimal control problems governed by state equations of Kobayashi-Warren-Carter-type. The control is given by physical temperature. The focus is on problems in dimensions less than or equal to 4.
Antil Harbir +3 more
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A numerical scheme for constrained optimal control problems [PDF]
International Journal of Industrial Electronics, Control and Optimization, 2019 In this paper, a numerical technique is proposed to solve optimal control problems (OPCs) of Volterra integral equations (VIEs). We apply the linear B-spline polynomials to solve OPCs by VIEs. The B-spline function divides the interval into sub-intervals
Zahra Shabani, Haleh Tajadodi
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Optimal control problems on stratified domains
Networks and Heterogeneous Media, 2007 We consider a class of optimal control problems defined on a stratified domain. Namely, we assume that the statespace $\mathbb{R}^N$ admits a stratification as a disjoint union of finitely many embedded submanifolds $\mathcal{M}_i$.
Alberto Bressan, Yunho Hong
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Strong local optimality for generalized L1 optimal control problems [PDF]
, 2018 In this paper, we analyse control affine optimal control problems with a cost functional involving the absolute value of the control. The Pontryagin extremals associated with such systems are given by (possible) concatenations of bang arcs with singular ...
Chittaro, Francesca, Poggiolini, Laura
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Parameterization Techniques for Quadratic Continuous Optimal Control Problems [PDF]
Engineering and Technology Journal, 2010 The main purpose of this work is to propose the parameterization techniques for solving quadratic optimal control (OC) problem with aid of both Chebyshev and Hermite Polynomials as a basis function to find the approximate solution for OC problem.
Saba S. Hasan +2 more
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A Multilevel Heterogeneous ADMM Algorithm for Elliptic Optimal Control Problems with L1-Control Cost
Mathematics, 2023 In this paper, elliptic optimal control problems with L1-control cost and box constraints on the control are considered. To numerically solve the optimal control problems, we use the First optimize, then discretize approach.
Xiaotong Chen +3 more
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