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This paper is devoted to the controllability of linear systems of two coupled parabolic equations when the coupling involves a space dependent first order term. This system is set on an bounded interval, and the first equation is controlled…

偏微分方程分析 · 数学 2017-01-20 Michel Duprez

The aim of this notes is to give a concise introduction to control theory for systems governed by stochastic partial differential equations. We shall mainly focus on controllability and optimal control problems for these systems. For the…

最优化与控制 · 数学 2021-01-27 Qi Lü , Xu Zhang

To each dynamic equivalence of two control systems is associated an infinite permutation matrix. We investigate how such matrices are related to the existence of dynamic equivalences.

动力系统 · 数学 2019-08-27 Jeanne N. Clelland , Yuhao Hu , Matthew W. Stackpole

A general maximum principle (necessary and sufficient conditions) for an optimal control problem governed by a stochastic differential equation driven by an infinite dimensional martingale is established. The solution of this equation takes…

概率论 · 数学 2012-03-21 AbdulRahman Al-Hussein

In this work we extend a variational method to study the approximate controllability and finite dimensional exact controllability ( finite-approximate controllability) for the semilinear evolution equations in Hilbert spaces. We state a…

偏微分方程分析 · 数学 2018-06-20 N. I. Mahmudov

This analysis is concerned with the controllability of quantum systems in the case where the standard dipolar approximation, involving the permanent dipole moment of the system, is corrected with a polarizability term, involving the field…

偏微分方程分析 · 数学 2014-06-17 Nabile Boussaid , Marco Caponigro , Thomas Chambrion

We study local controllability and optimal control problems for invertible discrete-time control systems. We present second order necessary conditions for optimality and sufficient conditions for local controllability. The conditions are…

最优化与控制 · 数学 2013-01-30 M. Barbero-Liñán , B. Jakubczyk

The paper aims at the development of an apparatus for analysis and construction of near optimal solutions of singularly perturbed (SP) optimal controls problems (that is, problems of optimal control of SP systems) considered on the infinite…

最优化与控制 · 数学 2014-08-20 Vladimir Gaitsgory , Sergei Rossomakhine

We develop a method to control discrete-time systems with constant but initially unknown parameters from linear temporal logic (LTL) specifications. We introduce the notions of (non-deterministic) parametric and adaptive transition systems…

系统与控制 · 计算机科学 2017-03-23 Sadra Sadraddini , Calin Belta

We establish a linear programming formulation for the solution of joint chance constrained optimal control problems over finite time horizons. The joint chance constraint may represent an invariance, reachability or reach-avoid…

最优化与控制 · 数学 2024-05-21 Niklas Schmid , Marta Fochesato , Tobias Sutter , John Lygeros

Equipping approximate dynamic programming (ADP) with inputconstraints has a tremendous significance. This enables ADP to be applied tothe systems with actuator limitations, which is quite common for dynamicalsystems. In a conventional…

最优化与控制 · 数学 2018-05-24 Xuefeng Bao , Zhi-Hong Mao , Nitin Sharma

Delay-coordinate maps have been widely used recently to study nonlinear dynamical systems, where there is only access to the time series of one of their variables. Here, we show how the partial control method can be applied in this kind of…

混沌动力学 · 物理学 2017-06-16 Rubén Capeáns , Juan Sabuco , Miguel A. F. Sanjuán

We study the existence of mild solutions and the approximate controllability for nonautonomous integrodifferential equations with state-dependent delay. We assume the approximate controllability of the linear part, and then we use resolvent…

最优化与控制 · 数学 2024-12-06 Mamadou Abdoul Diop , Mohammed Elghandouri , Khalil Ezzinbi

Anew method for finding closed-loop optimal controllers of fractional tracking quadratic optimal control problems is introduced. The optimality conditions for the fractional optimal control problem are obtained. Illustrative examples are…

最优化与控制 · 数学 2026-02-03 Iman Malmir

This paper addresses the problem of tracking control for an unknown nonlinear system with time-varying bounded disturbance subjected to prescribed Performance and Input Constraints (PIC). Since simultaneous prescription of PIC involves a…

最优化与控制 · 数学 2023-04-25 Pankaj K Mishra , Pushpak Jagtap

We describe quantum controllability under the influences of the quantum decoherence induced by the quantum control itself. It is shown that, when the controller is considered as a quantum system, it will entangle with its controlled system…

量子物理 · 物理学 2009-11-11 Fei Xue , S. X. Yu , C. P. Sun

We show that a bilinear control system is approximately controllable if and only if it is controllable in $\mathbb{R}^{n}\setminus\{0\}$. We approach this problem by looking at the foliation made by the orbits of the system, and by showing…

最优化与控制 · 数学 2021-10-11 Daniele Cannarsa , Mario Sigalotti

In this document, some novel theoretical and computational techniques for constrained approximation of data-driven systems, are presented. The motivation for the development of these techniques came from structure-preserving matrix…

最优化与控制 · 数学 2019-07-22 Fredy Vides

Infinite-dimensional linear systems with unbounded input and output operators are considered. For the purpose of finite-dimensional observer-based state feedback, an observer approximation scheme will be developed which can be directly…

最优化与控制 · 数学 2022-11-28 Marcus Riesmeier , Frank Woittennek

The aim of this paper is to investigate the well-posedness of a class of boundary control and observation systems on a one dimensional spatial domain. We derive a necessary and sufficient condition characterizing the well-posedness of these…

最优化与控制 · 数学 2026-02-06 Bouchra Elghazi , Birgit Jacob , Hans Zwart