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In this paper, we consider a chain of distributed systems governed by a degenerate parabolic equation, which satisfies a weak H\"{o}rmander type condition, with a control distributed over an open subdomain. In particular, we consider two…

Optimization and Control · Mathematics 2018-01-03 Getachew K. Befekadu , Eduardo L. Pasiliao

We critically evaluate the most widespread assumption in the theoretical description of coherent control strategies for open quantum systems. We show that, for non-Markovian open systems dynamics, this fixed-dissipator assumption leads to a…

Quantum Physics · Physics 2016-12-06 Carole Addis , Elsi-Mari Laine , Clemens Gneiting , Sabrina Maniscalco

In this work, we extend the quantum optimal control theory of molecules subject to ultrashort laser pulses to the case of solvated systems, explicitly including the solvent dielectric properties in the system Hamiltonian. A reliable…

Chemical Physics · Physics 2019-12-23 Marta Rosa , Gabriel Gil , Stefano Corni , Roberto Cammi

In this paper we investigate data-driven predictive control of discrete-time linear descriptor systems. Specifically, we give a tailored variant of Willems' fundamental lemma, which shows that for descriptor systems the non-parametric…

Optimization and Control · Mathematics 2022-02-17 Philipp Schmitz , Timm Faulwasser , Karl Worthmann

This paper deals with fractional-order controlled systems and fractional-order controllers in the discrete domain. The mathematical description by the fractional difference equations and properties of these systems are presented. A…

Optimization and Control · Mathematics 2007-05-23 I. Petras , L. Dorcak , I. Kostial

The minimum-time control problem consists in finding a control policy that will drive a given dynamic system from a given initial state to a given target state (or a set of states) as quickly as possible. This is a well-known challenging…

Systems and Control · Computer Science 2015-03-19 Laurent Bako , Dulin Chen , Stéphane Lecoeuche

This paper deals with the controllability for a class of non-autonomous neutral differential equations of fractional order with infinite delay in an abstract space. The semi-group theory of bounded linear operators, fractional calculus, and…

Optimization and Control · Mathematics 2024-03-15 Areefa Khatoon , Abdur Raheem , Asma Afreen

The Kalman canonical form for quantum linear systems was derived in \cite{ZGPG18}. The purpose of this paper is to present an alternative derivation by means of a Gramian matrix approach. Controllability and observability Gramian matrices…

Quantum Physics · Physics 2023-12-27 Guofeng Zhang , Jinghao Li , Zhiyuan Dong , Ian R. Petersen

In this paper we describe an original computational model for solving different types of Distributed Constraint Satisfaction Problems (DCSP). The proposed model is called Controller-Agents for Constraints Solving (CACS). This model is…

Artificial Intelligence · Computer Science 2010-03-03 Sami Al-Maqtari , Habib Abdulrab , Eduard Babkin

Quantum optimal control theory is a powerful tool for engineering quantum systems subject to external fields such as the ones created by intense lasers. The formulation relies on a suitable definition for a target functional, that…

Quantum Physics · Physics 2015-05-20 David Kammerlander , Alberto Castro , Miguel A. L. Marques

The objective of this article is to apply recent developments in geometric optimal control to analyze the time minimum control problem of dissipative two-level quantum systems whose dynamics is governed by the Lindblad equation. We focus…

Mathematical Physics · Physics 2008-09-25 B. Bonnard , D. Sugny

Ensemble control, an emerging research field focusing on the study of large populations of dynamical systems, has demonstrated great potential in numerous scientific and practical applications. Striking examples include pulse design for…

Optimization and Control · Mathematics 2022-11-08 Wei Zhang , Jr-Shin Li

This paper addresses the problem of output voltage regulation for multiple DC/DC converters connected to a microgrid, and prescribes a scheme for sharing power among different sources. This architecture is structured in such a way that it…

Optimization and Control · Mathematics 2017-01-12 Mayank Baranwal , Alireza Askarian , Srinivasa M. Salapaka

This paper is devoted to the partial null controllability issue of parabolic linear systems with n equations. Given a bounded domain in R N, we study the effect of m localized controls in a nonempty open subset only controlling p components…

Analysis of PDEs · Mathematics 2017-01-20 Farid Ammar Khodja , Franz Chouly , Michel Duprez

This paper gives convex conditions for synthesis of a distributed control system for large-scale networked nonlinear dynamic systems. It is shown that the technique of control contraction metrics (CCMs) can be extended to this problem by…

Systems and Control · Computer Science 2018-10-12 Humberto Stein Shiromoto , Max Revay , Ian R. Manchester

Given a controllable discrete-time linear system C, a shortest basis for C is a set of linearly independent generators for C with the least possible lengths. A basis B is a shortest basis if and only if it has the predictable span property…

Information Theory · Computer Science 2010-12-17 G. David Forney

We study the minimum of the essential spectrum of canonical systems $Ju'=-zHu$. Our results can be described as a generalized and more quantitative version of the characterization of systems with purely discrete spectrum, which was recently…

Spectral Theory · Mathematics 2019-08-07 Christian Remling , Kyle Scarbrough

The problem of finding and characterizing minimal sets of dequantizers and quantizers applied in the mapping of operators onto functions is considered, for finite-dimensional quantum systems. The general properties of such sets are…

Quantum Physics · Physics 2018-09-26 P. Adam , V. A. Andreev , A. Isar , M. A. Man'ko , V. I. Man'ko

The purpose of this paper is to formulate and solve a H-infinity controller synthesis problem for a class of non-commutative linear stochastic systems which includes many examples of interest in quantum technology. The paper includes…

Quantum Physics · Physics 2009-04-09 M. R. James , H. I. Nurdin , I. R. Petersen

This paper is devoted to a study of linear, differential and topological classifications for linear controlled systems governed by ordinary differential equations. The necessary and sufficient conditions for the linear and topological…

Optimization and Control · Mathematics 2008-07-30 Jing Li