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The aim of this work is to study the optimal control problems of flows governed by the incompressible third grade fluid equations with Navier-slip boundary conditions. After recalling a result on the well-posedness of the state equations,…

最优化与控制 · 数学 2023-02-14 Yassine Tahraoui , Fernanda Cipriano

We discuss the applicability of classical control theory to problems in smart grids and smart cities. We use tools from iterated function systems to identify controllers with desirable properties. In particular, controllers are identified…

最优化与控制 · 数学 2018-02-27 Andre R. Fioravanti , Jakub Marecek , Robert N. Shorten , Matheus Souza , Fabian R. Wirth

This paper is concerned with the existence of optimal controls for backward stochastic partial differential equations with random coefficients, in which the control systems are represented in an abstract evolution form, i.e. backward…

最优化与控制 · 数学 2016-12-07 Qingxin Meng , Yang Shen , Peng Shi

The robust tracking and model following problem of linear discrete-time systems is investigated in this paper. An approach to design robust tracking controllers is proposed. The system is controlled to track dynamic inputs generated from a…

系统与控制 · 计算机科学 2016-07-12 Omar Zakary , Mostafa Rachik

We propose finitely convergent methods for solving convex feasibility problems defined over a possibly infinite pool of constraints. Following other works in this area, we assume that the interior of the solution set is nonempty and that…

最优化与控制 · 数学 2020-09-22 Victor I. Kolobov , Simeon Reich , Rafał Zalas

In this paper, we study the null controllability of forward and backward stochastic semilinear complex Ginzburg-Landau equations with global Lipschitz nonlinear terms. For this purpose, by deriving an improved global Carleman estimates for…

最优化与控制 · 数学 2024-08-07 Sen Zhang , Hang Gao , Ganghua Yuan

We analyze in this paper the effect of the well known intelligent proportional controller on the stability of linear control systems. Inspired by the literature on neutral time delay systems and advanced type systems, we derive sufficient…

最优化与控制 · 数学 2023-09-14 Mohamed Camil Belhadjoudja , Mohamed Maghenem , Emmanuel Witrant

In this paper, we intend to present some already known results about the internal controllability of the linear and nonlinear Schr\"odinger equation. After presenting the basic properties of the equation, we give a self contained proof of…

偏微分方程分析 · 数学 2013-07-09 Camille Laurent

An overview and synthesis of results and criteria for open-loop controllability of Hamiltonian quantum systems obtained using Lie group and Lie algebra techniques is presented. Negative results for open-loop controllability of dissipative…

量子物理 · 物理学 2007-05-23 S. G. Schirmer , I. C. H. Pullen , A. I. Solomon

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

We address a class of systems for which the solution to an H-infinity optimal control problem can be given on a very simple closed form. In fact, both the control law and optimal performance value are explicitly given. The class of systems…

最优化与控制 · 数学 2019-03-18 Carolina Bergeling , Richard Pates , Anders Rantzer

The DPG method with optimal test functions for solving linear quadratic optimal control problems with control constraints is studied. We prove existence of a unique optimal solution of the nonlinear discrete problem and characterize it…

最优化与控制 · 数学 2023-08-21 Thomas Führer , Francisco Fuica

The problem of exact observability is analyzed for a wide class of neutral type systems by an infinite dimensional approach. The duality with the exact controllabil-ity problem is the main tool. It is based on an explicit expression of a…

最优化与控制 · 数学 2015-12-29 Rabah Rabah , Grigory Sklyar

This work is concerned with the possibility of proving the boundary null controllability for the degenerate wave equation, developing the asymptotic analysis of a suitable family of state-control pairs $((u_\varepsilon ,…

最优化与控制 · 数学 2023-11-15 Bruno S. V. Araújo , Reginaldo Demarque , Luiz Viana

In this paper, we consider the infinite horizon optimal control problem for nonlinear systems. Under the conditions of controllability of the linearized system around the origin, and nonlinear controllability of the system to a terminal set…

最优化与控制 · 数学 2023-04-04 Mohamed Naveed Gul Mohamed , Raman Goyal , Suman Chakravorty

In this paper, we examine the question of the boundary controllability of the one-dimensional non-isentropic Euler equation for compressible polytropic gas, in the context of weak entropy solutions. We consider the system in Eulerian…

最优化与控制 · 数学 2013-04-16 Olivier Glass

This paper is devoted to the stabilization problem for nonlinear driftless control systems by means of a time-varying feedback control. It is assumed that the vector fields of the system together with their first order Lie brackets span the…

最优化与控制 · 数学 2019-04-16 Alexander Zuyev

Thirty years after the introduction of port-Hamiltonian systems, interest in this system class still remains high among systems and control researchers. Very recently, Jacob and Laasri obtained strong results on the solvability and…

最优化与控制 · 数学 2024-01-17 Mikael Kurula

This paper extends our previous controllability results for a class of coupled linear parabolic systems with nonlocal interactions, motivated by applications in finance such as generalized Black--Scholes models. We establish local null…

偏微分方程分析 · 数学 2025-12-02 Juan Limaco , Rafael Martins Lobosco , Luis P. Yapu

The paper deals with the problem of optimization of a guaranteed (worst case) result for a control system described by an ordinary differential equation. The disturbances as functions of time are subject to functional constraints belonging…

最优化与控制 · 数学 2014-08-28 Dmitrii A. Serkov
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