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The stabilizability of a general class of abstract parabolic-like equations is investigated, with a finite number of actuators. This class includes the case of actuators given as delta distributions located at given points in the spatial…

Optimization and Control · Mathematics 2023-08-21 Karl Kunisch , Sérgio S. Rodrigues , Daniel Walter

In this work we study the role of parasitic interactions and microwave crosstalk in a system of two superconducting artificial atoms interacting via a single-mode coplanar waveguide. Through a general description of the effective dynamics…

Quantum Physics · Physics 2023-01-05 Alan C. Santos

This paper focuses on investigating the optimal actuator location for achieving minimum norm controls in the context of approximate controllability for degenerate parabolic equations. We propose a formulation of the optimization problem…

Optimization and Control · Mathematics 2023-08-21 Yuanhang Liu , Weijia Wu , Donghui Yang

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…

Analysis of PDEs · Mathematics 2025-12-02 Juan Limaco , Rafael Martins Lobosco , Luis P. Yapu

Distributed secondary control plays an important role in DC microgrids, since it ensures system control objectives, which are power sharing and DC bus voltage stability. Previous studies have suggested using a control architecture that…

Optimization and Control · Mathematics 2016-08-18 T. V. Vu , S. Paran , F. Diaz , T. E. Meyzani , C. S. Edrington

In the interaction picture, a sufficient and necessary condition that guarantees the convergence of closed quantum control system is proposed in this paper. Theoretical derivation and the proof show that it is possible to achieve the…

Mathematical Physics · Physics 2014-08-19 Shuang Cong , Yuesheng Lou , Jianxiu Liu , Sen Kuang

Robust coordination and organization in large ensembles of nonlinear oscillatory units play a vital role in a wide range of natural and engineered system. The control of self-organizing network-coupled systems has recently seen significant…

Adaptation and Self-Organizing Systems · Physics 2022-10-04 Per Sebastian Skardal , Alex Arenas

The goal of the present article is to study controllability properties of mixed systems of linear parabolic-transport equations, with possibly non-diagonalizable diffusion matrix, on the one-dimensional torus. The equations are coupled by…

Optimization and Control · Mathematics 2023-01-03 Armand Koenig , Pierre Lissy

This letter presents a new intelligent control scheme for the accurate trajectory tracking of flexible link manipulators. The proposed approach is mainly based on a sliding mode controller for underactuated systems with an embedded…

This article is concerned with stability analysis and stabilization of randomly switched systems under a class of switching signals. The switching signal is modeled as a jump stochastic (not necessarily Markovian) process independent of the…

Optimization and Control · Mathematics 2011-10-04 Debasish Chatterjee , Daniel Liberzon

In most dynamic networks, it is impractical to measure all of the system states; instead, only a subset of the states are measured through sensors. Consequently, and unlike full state feedback controllers, output feedback control utilizes…

Systems and Control · Computer Science 2018-06-15 Sebastian Nugroho , Ahmad F. Taha , Tyler Summers , Nikolaos Gatsis

In this paper we study the boundary controllability for a system of two coupled degenerate/singular parabolic equations with a control acting on only one equation. We analyze both approximate and null boundary controllability properties.…

Optimization and Control · Mathematics 2021-04-02 Brahim Allal , Abdelkarim Hajjaj , Jawad Salhi , Amine Sbai

In this paper, we study infinite dimensional stochastic systems having both unbounded control and observation operators. First of all, using a semigroup approach, we give another take of the well-posedness of such systems treated in [SIAM…

Optimization and Control · Mathematics 2021-05-31 Fatima-Zahra Lahbiri , Said Hadd

This paper studies a control method for switching stable coexisting attractors of a class of non-autonomous dynamical systems. The central idea is to introduce a continuous path for the system's trajectory to transition from its original…

Dynamical Systems · Mathematics 2022-08-01 Zhi Zhang , Joseph Páez Chávez , Jan Sieber , Yang Liu

We prove the null controllability of a cascade system of \(n\) coupled backward stochastic parabolic equations involving both reaction and convection terms, as well as general second-order parabolic operators, with \(n \geq 2\). To achieve…

Optimization and Control · Mathematics 2024-11-15 Said Boulite , Abdellatif Elgrou , Lahcen Maniar

This paper is devoted to the study of the null and approximate controllability for some classes of linear coupled parabolic systems with less controls than equations. More precisely, for a given bounded domain in R^N, we consider a system…

Analysis of PDEs · Mathematics 2017-01-23 Michel Duprez , Pierre Lissy

We investigate the universality of multi-spin systems in architectures of various symmetries of coupling type and topology. Explicit reachability sets under symmetry constraints are provided. Thus for a given (possibly symmetric)…

Quantum Physics · Physics 2009-05-17 U. Sander , T. Schulte-Herbrueggen

We consider a qubit subject to various independent control mechanisms and present a general strategy to identify both the internal Hamiltonian and the interaction Hamiltonian for each control mechanism, relying only on a single, fixed…

Quantum Physics · Physics 2009-11-10 Sonia G. Schirmer , Daniel K. L. Oi , Avinash Kolli , Jared H. Cole

The focus of this paper is on the co-design of control and communication protocol for the control of multiple applications with unknown parameters using a distributed embedded system. The co-design consists of an adaptive switching…

Optimization and Control · Mathematics 2012-08-22 Harald Voit , Anuradha Annaswamy

This paper presents bilateral control laws for one-dimensional(1-D) linear 2x2 hyperbolic first-order systems (with spatially varying coefficients). Bilateral control means there are two actuators at each end of the domain. This situation…

Optimization and Control · Mathematics 2024-09-04 Wei Sun , Jing Li , Liangyu Xu