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In recent papers it has been suggested that human locomotion may be modeled as an inverse optimal control problem. In this paradigm, the trajectories are assumed to be solutions of an optimal control problem that has to be determined. We…

最优化与控制 · 数学 2010-07-26 Yacine Chitour , Frédéric Jean , Paolo Mason

We study a class of optimal control problems governed by nonlinear stochastic equations of monotone type under certain coercivity and linear growth conditions. We give first order necessary conditions of optimality. A stochastic Pontryagin…

最优化与控制 · 数学 2025-12-24 Ioana Ciotir , Nicolas Forcadel , Piero Visconti , Hasnaa Zidani

This work presents a control-oriented identification scheme for efficient control design and stability analysis of nonlinear systems. Neural networks are used to identify a discrete-time nonlinear state-space model to approximate…

系统与控制 · 电气工程与系统科学 2024-10-04 Maxime Thieffry , Alexandre Hache , Mohamed Yagoubi , Philippe Chevrel

In this chapter, we are concerned with inverse optimal control problems, i.e., optimization models which are used to identify parameters in optimal control problems from given measurements. Here, we focus on linear-quadratic optimal control…

最优化与控制 · 数学 2023-11-27 Stephan Dempe , Markus Friedemann , Felix Harder , Patrick Mehlitz , Gerd Wachsmuth

In this paper we consider the problem of the optimal control of an ensemble of affine-control systems. After proving the well-posedness of the minimization problem under examination, we establish a $\Gamma$-convergence result that allows us…

最优化与控制 · 数学 2023-11-20 Alessandro Scagliotti

In this paper we consider a nonlinear system of PDEs coupling the viscous Cahn-Hilliard-Oono equation with dynamic boundary conditions enjoying a similar structure on the boundary. After proving well-posedness of the corresponding initial…

偏微分方程分析 · 数学 2023-09-19 Gianni Gilardi , Elisabetta Rocca , Andrea Signori

In this paper we derive a necessary optimality condition for a local optimal solution of some control problems. These optimal control problems are governed by a semi-linear Vettsel boundary value problem of a linear elliptic equation. The…

偏微分方程分析 · 数学 2009-04-08 Yousong Luo

A novel method for control of dynamical systems, proposed in the paper, ensures an output signal belonging to the given set at any time. The method is based on a special change of coordinates such that the initial problem with given…

系统与控制 · 电气工程与系统科学 2019-12-19 Igor Furtat

This article presents an identification methodology to capture general relationships, with application to piecewise nonlinear approximations of model predictive control for constrained (non)linear systems. The mathematical formulation…

最优化与控制 · 数学 2017-01-06 Van-Vuong Trinh , Mazen Alamir , Patrick Bonnay

Transmission topology control is a tool used by system operators in the role of a control action taken into account as a preventive or corrective action relative to a specific outage or set of outages. However, their inclusion in most…

系统与控制 · 电气工程与系统科学 2021-03-30 Emily Little , Sandrine Bortolotti , Jean-Yves Bourmaud , Efthymios Karangelos , Yannick Perez

A numerical study of an optimal control formulation for a shape optimization problem governed by an elliptic variational inequality is performed. The shape optimization problem is reformulated as a boundary control problem in a fixed…

最优化与控制 · 数学 2018-01-22 Raino A. E. Mäkinen

Linearized models of power systems are often desirable to formulate tractable control and optimization problems that still reflect real-world physics adequately under various operating conditions. In this paper, we propose an approach that…

最优化与控制 · 数学 2018-05-28 Marc Hohmann , Joseph Warrington , John Lygeros

To ensure preservation of local or global bounds for numerical solutions of conservation laws, we constrain a baseline finite element discretization using optimization-based (OB) flux correction. The main novelty of the proposed methodology…

数值分析 · 数学 2021-10-20 Falko Ruppenthal , Dmitri Kuzmin

A tracking type optimal control problem for a nonlinear and nonlocal kinetic Fokker-Planck equation which arises as the mean field limit of an interacting particle systems that is subject to distance dependent random fluctuations is…

最优化与控制 · 数学 2025-01-08 Tobias Breiten , Karl Kunisch

In this paper, we prove the necessary and sufficient maximum principles (NSMPs in short) for the optimal control of systems described by a quasilinear stochastic heat equation within convex control domains, which all the coefficients…

最优化与控制 · 数学 2012-11-01 Liangquan Zhang , Yufeng Shi

We consider an arbitrary network of $M/M/\infty$ queues with controlled transitions between queues. We consider optimal control problems where the costs are linear functions of the state and inputs over a finite or infinite horizon. We…

最优化与控制 · 数学 2025-09-11 Giovanni Pugliese Carratelli , Ioannis Lestas

We investigate optimal control of linear port-Hamiltonian systems with control constraints, in which one aims to perform a state transition with minimal energy supply. Decomposing the state space into dissipative and non-dissipative (i.e.…

最优化与控制 · 数学 2021-04-13 Manuel Schaller , Friedrich Philipp , Timm Faulwasser , Karl Worthmann , Bernhard Maschke

Turnpike phenomena of nonlinear port-Hamiltonian descriptor systems under minimal energy supply are studied. Under assumptions on the smoothness of the system nonlinearities, it is shown that the optimal control problem is dissipative with…

最优化与控制 · 数学 2023-01-24 Attila Karsai

We consider the problem of a dynamical network whose dynamics is subject to external perturbations (`attacks') locally applied at a subset of the network nodes. We assume that the network has an ability to defend itself against attacks with…

系统与控制 · 计算机科学 2018-06-13 Ishan Kafle , Sudarshan Bartaula , Afroza Shirin , Isaac Klickstein , Pankaz Das , Francesco Sorrentino

We consider an optimal control problem where the state is governed by a free boundary problem called the two-phase membrane problem and the control appears in the coefficients of the characteristic function of the positivity and negativity…

最优化与控制 · 数学 2024-05-20 Farid Bozorgnia , Vyacheslav Kungurtsev