English
Related papers

Related papers: Strong chain control sets and affine control syste…

200 papers

Structural controllability challenges arise from imprecise system modeling and system interconnections in large scale systems. In this paper, we study structural control of bilinear systems on the special Euclidean group. We employ graph…

Optimization and Control · Mathematics 2024-06-18 A. Sanand Amita Dilip , Chirayu D. Athalye

In this work we provide a computationally tractable procedure for designing affine control policies, applied to constrained, discrete-time, partially observable, linear systems subject to set bounded disturbances, stochastic noise and…

Optimization and Control · Mathematics 2018-11-27 Georgios Kotsalis , Guanghui Lan

In a complete metric space that is equipped with a doubling measure and supports a Poincar\'e inequality, we study strict subsets, i.e. sets whose variational capacity with respect to a larger reference set is finite, in the case $p=1$.…

Metric Geometry · Mathematics 2019-03-12 Panu Lahti

We consider the general bilinear control systems in three-dimensional Euclidean space which satisfy the LARC and have an open control set U; and give sufficient controllability conditions for corresponding projected systems on…

Optimization and Control · Mathematics 2010-05-04 Abdon Choque , Valeri Marenitch

This paper addresses the equivalence problem of conic submanifolds in the tangent bundle of a smooth 2-dimensional manifold. Those are given by a quadratic relation between the velocities and are treated as nonholonomic constraints whose…

Optimization and Control · Mathematics 2023-10-03 Timothée Schmoderer , Witold Respondek

Robust quantum control can achieve noise-resilience of quantum systems and quantum technological devices. While the need for noise-resilience grows with the number of fluctuating quantities, and thus typically with the number of qubits,…

This study proposes an adaptive subsystem-based control (SBC) for systematic and straightforward nonlinear~control of nth-order strict-feedback form (SFF) systems.~By decomposing the SFF system to subsystems, a generic~term (namely…

Optimization and Control · Mathematics 2024-07-16 Janne Koivumäki , Jukka-Pekka Humaloja , Lassi Paunonen , Wen-Hong Zhu , Jouni Mattila

The control system described by Urysohn type integral equation is considered where the system is nonlinear with respect to the phase vector and is affine with respect to the control vector. The control functions are chosen from the closed…

Optimization and Control · Mathematics 2021-05-14 Nesir Huseyin , Anar Huseyin , Khalik G. Guseinov

In this paper, we investigate the existence of a subclass of quotients of affine connection control systems, which preserve the mechanical structures. Both local and global sufficient and necessary conditions are given for the geodesically…

Differential Geometry · Mathematics 2019-08-07 Qianqian Xia , Zhiyong Geng

We present sufficient conditions under which a given linear nonautonomous system and its nonlinear perturbation are topologically conjugated. Our conditions are of a very general form and provided that the nonlinear perturbations are…

Classical Analysis and ODEs · Mathematics 2022-10-12 Lucas Backes , Davor Dragičević

In this paper, we study under which conditions the trajectories of a mechanical control system can track any curve on the configuration manifold. We focus on systems that can be represented as forced affine connection control systems and we…

Optimization and Control · Mathematics 2009-12-01 María Barbero-Liñán , Mario Sigalotti

With the advent of quantum technologies, control issues are becoming increasingly important. In this article, we address the control in phase space under a global constraint provided by a minimal energy-like cost function and a local (in…

Quantum Physics · Physics 2022-11-21 Qi Zhang , Xi Chen , David Guéry-Odelin

Neural networks are powerful tools for data-driven modeling of complex dynamical systems, enhancing predictive capability for control applications. However, their inherent nonlinearity and black-box nature challenge control designs that…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Xiao Li , Tianhao Wei , Changliu Liu , Anouck Girard , Ilya Kolmanovsky

The purpose of this paper is to explore the concept of trivial control systems, namely systems whose dynamics depends on the controls only. Trivial systems have been introduced and studied by Serres in the the context of control-nonlinear…

Optimization and Control · Mathematics 2023-02-03 Timothée Schmoderer , Witold Respondek

We prove the approximate controllability of a bilinear Schr\"odinger equation modelling a two trapped ions system. A new spectral decoupling technique is introduced, which allows to analyze the controllability of the infinite-dimensional…

Optimization and Control · Mathematics 2014-12-10 Esteban Paduro , Mario Sigalotti

Recent work in the area of interdependent networks has focused on interactions between two systems of the same type. However, an important and ubiquitous class of systems are those involving monitoring and control, an example of…

Disordered Systems and Neural Networks · Physics 2013-09-27 Richard G. Morris , Marc Barthelemy

In recent years, Neural Networks (NNs) have been employed to control nonlinear systems due to their potential capability in dealing with situations that might be difficult for conventional nonlinear control schemes. However, to the best of…

Optimization and Control · Mathematics 2025-02-04 Anran Li , John P. Swensen , Mehdi Hosseinzadeh

In this paper, controllability of undirected networked systems with {diffusively coupled subsystems} is considered, where each subsystem is of {identically {\emph{fixed}}} general high-order single-input-multi-output dynamics. The…

Systems and Control · Electrical Eng. & Systems 2020-04-21 Yuan Zhang , Yuanqing Xia , Han Gao , Guangchen Zhang

We introduce a protocol for dynamical dispersion engineering in an atomic chain consisting of an ordered array of multi-level atoms with subwavelength lattice constant. This chain supports dark states that are protected from dissipation in…

Quantum Physics · Physics 2022-04-15 R. Gutiérrez-Jáuregui , A. Asenjo-Garcia

In this paper, we present a geometric approach for computing controlled invariant sets for hybrid control systems. While the problem is well studied in the ellipsoidal case, this family is quite conservative for constrained or switched…

Optimization and Control · Mathematics 2021-12-08 Benoît Legat , Raphaël M. Jungers