English
Related papers

Related papers: Global controllability properties of linear contro…

200 papers

The effect of linear lumping, linear transformation to reduce the number of state variables on controllability and observability of linear differential equations has been studied. Controllability of the original system implies the…

Classical Analysis and ODEs · Mathematics 2008-03-24 Zsófia Horváth

This paper is motivated by the problem of asymptotically stabilizing invariant sets in the state space of control systems by means of output feedback. The sets considered are smooth embedded in submanifolds and the class of system is…

Optimization and Control · Mathematics 2015-04-29 Christopher Nielsen

We propose a certainty-equivalence scheme for adaptive control of scalar linear systems subject to additive, i.i.d. Gaussian disturbances and bounded control input constraints, without requiring prior knowledge of the bounds of the system…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Seth Siriya , Jingge Zhu , Dragan Nešić , Ye Pu

The theory of controlled mechanical systems of [6, 3, 4] is extended to the case of ideal incompressible fluids consisting of charged particles in the presence of an external magnetic field. The resulting control is of feedback type and…

Mathematical Physics · Physics 2021-03-10 Simon Hochgerner

Symmetry properties of the evolution equation and the state to be controlled are shown to determine the basic features of the linear control of unstable orbits. In particular, the selection of control parameters and their minimal number are…

chao-dyn · Physics 2009-10-30 R. O. Grigoriev , M. C. Cross

A general scheme is proposed and tested to control the symmetry breaking instability of a homogeneous solution of a spatially extended multispecies model, defined on a network. The inherent discreteness of the space makes it possible to act…

An alternative formulation for the controllability problem of single input linear positive systems is presented. Driven by many industrial applications, this formulations focuses on the case where the region of interest is only a subset of…

Optimization and Control · Mathematics 2017-04-25 Yashar Zeinaly , Jan H. van Schuppen , Bart De Schutter

The control of bilinear systems has attracted considerable attention in the field of systems and control for decades, owing to their prevalence in diverse applications across science and engineering disciplines. Although much work has been…

Optimization and Control · Mathematics 2020-09-09 Gong Cheng , Wei Zhang , Jr-Shin Li

The paper continues the authors' study of the linearizability problem for nonlinear control systems. In the recent work [K. Sklyar, Systems Control Lett. 134 (2019), 104572], conditions on mappability of a nonlinear control system to a…

Optimization and Control · Mathematics 2021-01-26 Katerina V. Sklyar , Svetlana Yu. Ignatovich

We discuss control of low-dimensional systems which, when uncontrolled, are integrable in the Hamiltonian sense. The controller targets an exact solution of the system in a region where the uncontrolled dynamics has invariant tori. Both…

Pattern Formation and Solitons · Physics 2009-11-10 C. W. Kulp , E. R. Tracy

An impulsive feedback-adaptive control is developed in order to drive trajectories of a dynamical system towards an invariant manifold with fixed and spaced impulsive controls. The approach requires the explicit knowledge of the set of…

Dynamical Systems · Mathematics 2024-01-09 C. C. Silva , J. Marao , A. Figueiredo , T. M. Rocha Filho

We study feedback control for discrete-time linear time-invariant systems in the presence of quantization both in the control action and in the measurement of the controlled variable. While in some application the quantization effects can…

Systems and Control · Computer Science 2020-05-12 Alessandro Vittorio Papadopoulos , Federico Terraneo , Alberto Leva , Maria Prandini

We consider affine control systems with two scalar controls, such that one control vector field vanishes at an equilibrium state. We state two necessary conditions of local controllability around this equilibrium, involving the iterated Lie…

Optimization and Control · Mathematics 2024-03-05 Laetitia Giraldi , Pierre Lissy , Clément Moreau , Jean-Baptiste Pomet

We prove that the multidimensional Schr\"odinger equation is exactly controllable in infinite time near any point which is a finite linear combination of eigenfunctions of the Schr\"odinger operator. We prove that, generically with respect…

Analysis of PDEs · Mathematics 2012-01-18 Vahagn Nersesyan , Hayk Nersisyan

We show the approximate rotational controllability of a polar linear molecule by means of three nonresonant linear polarized laser fields. The result is based on a general approximate controllability result for the bilinear Schr\"odinger…

Optimization and Control · Mathematics 2013-02-14 Ugo Boscain , Marco Caponigro , Mario Sigalotti

We prove global internal controllability in large time for the nonlinear Schrodinger equation on a bounded interval with periodic, Dirichlet or Neumann conditions. Our strategy combines stabilization and local controllability near 0. We use…

Analysis of PDEs · Mathematics 2008-12-18 Camille Laurent

This paper provides an upper for the invariance pressure of control sets with nonempty interior and a lower bound for sets with finite volume. In the special case of the control set of a hyperbolic linear control system in R^{d} this yields…

Optimization and Control · Mathematics 2019-04-10 Fritz Colonius , Alexandre J. Santana , João A. N. Cossich

This work provides linear control-oriented state space models of gas flow through standard equipment, such as valves, compressors, manifolds and non-trivial pipe geometries. After presenting the catalog of components, we show how to…

Systems and Control · Electrical Eng. & Systems 2022-11-15 Sven Brüggemann , Robert H. Moroto , Robert R. Bitmead

A linear output feedback control scheme is developed for a coupled map lattice system. H-infinity control theory is used to make the scheme local: both the collection of information and the feedback are implemented through an array of…

chao-dyn · Physics 2007-05-23 Roman O. Grigoriev , Sanjay G. Lall , Geir E. Dullerud

Notions of invariance pressure for control systems are introduced based on weights for the control values. The equivalence is shown between inner invariance pressure based on spanning sets of controls and on invariant open covers,…

Optimization and Control · Mathematics 2018-04-17 Fritz Colonius , Alexandre J. Santana , João A. N. Cossich