Stephen Campbell (2001)
International Journal of Applied Mathematics and Computer Science
The area of numerical analysis interacts with the area of control and systems theory in a number of ways, some of which are widely recognized and some of which are not fully appreciated or understood. This paper will briefly discuss some of these areas of interaction and place the papers in this volume in context.
Nicolae Cîndea, Enrique Fernández-Cara, Arnaud Münch (2013)
ESAIM: Control, Optimisation and Calculus of Variations
This paper deals with the numerical computation of boundary null controls for the 1D wave equation with a potential. The goal is to compute approximations of controls that drive the solution from a prescribed initial state to zero at a large enough controllability time. We do not apply in this work the usual duality arguments but explore instead a direct approach in the framework of global Carleman estimates. More precisely, we consider the control that minimizes over the class of admissible null...
Jan Neumann (1985)
Aplikace matematiky
In the article the following optimal control problem is studied: to determine a certain coefficient in a quasilinear partial differential equation of parabolic type so that the solution of a boundary value problem for this equation would minimise a given integral functional. In addition to the design and analysis of a numerical method the paper contains the solution of the fundamental problems connected with the formulation of the problem in question (existence and uniqueness of the solution of...
Petr Hušek, Michael Šebek, Jan Štecha (1999)
Kybernetika
Numerical operations on and among rational matrices are traditionally handled by direct manipulation with their scalar entries. A new numerically attractive alternative is proposed here that is based on rational matrix interpolation. The procedure begins with evaluation of rational matrices in several complex points. Then all the required operations are performed consecutively on constant matrices corresponding to each particular point. Finally, the resulting rational matrix is recovered from the...
Azmy S. Ackleh, Robert R. Ferdinand, Simeon Reich (1998)
Kybernetika
We briefly discuss an abstract approximation framework and a convergence theory of parameter estimation for a general class of nonautonomous nonlinear evolution equations. A detailed discussion of the above theory has been given earlier by the authors in another paper. The application of this theory together with numerical results indicating the feasibility of this general least squares approach are presented in the context of quasilinear reaction diffusion equations.
Mihai Bostan (2001)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
The topic of this paper is the numerical analysis of time periodic solution for electro-magnetic phenomena. The Limit Absorption Method (LAM) which forms the basis of our study is presented. Theoretical results have been proved in the linear finite dimensional case. This method is applied to scattering problems and transport of charged particles.
Mihai Bostan (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
The topic of this paper is the numerical analysis of time periodic solution for electro-magnetic phenomena. The Limit Absorption Method (LAM) which forms the basis of our study is presented. Theoretical results have been proved in the linear finite dimensional case. This method is applied to scattering problems and transport of charged particles.
Dirk von Wissel, Ramine Nikoukhah, François Delebecque, Stephen L. Campbell (1995)
Kybernetika
Piotr Suchomski (2003)
Control and Cybernetics
Petko Hr. Petkov, Nicolai D. Christov, Michail M. Konstantinov (1986)
Kybernetika
Václav Doležal (1969)
Aplikace matematiky
J.P. Gathier, I.A.K. Kupka (1996)
Mathematische Zeitschrift
Wehbe, Ali (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Luis Alejandro Márquez-Martínez, Claude H. Moog, Martín Velasco-Villa (2002)
Kybernetika
Basic properties on linearization by output injection are investigated in this paper. A special structure is sought which is linear up to a suitable output injection and under a suitable change of coordinates. It is shown how an observer may be designed using theory available for linear time delay systems.
Kapitonov, Boris V., Souza, Joel S. (2000)
International Journal of Mathematics and Mathematical Sciences
Jone Apraiz, Luis Escauriaza, Gengsheng Wang, C. Zhang (2014)
Journal of the European Mathematical Society
This paper presents two observability inequalities for the heat equation over . In the first one, the observation is from a subset of positive measure in , while in the second, the observation is from a subset of positive surface measure on . It also proves the Lebeau-Robbiano spectral inequality when is a bounded Lipschitz and locally star-shaped domain. Some applications for the above-mentioned observability inequalities are provided.
Philippe Jouan (2001)
Applicationes Mathematicae
We consider smooth single-input, two-output systems on a compact manifold X. We show that the set of systems that are observable for any polynomial input whose degree is less than or equal to a given bound contains an open and dense subset of the set of smooth systems.
Hans-Wilhelm Knobloch (2006)
Mathematica Bohemica
Observability of a general nonlinear system—given in terms of an ODE and an output map —is defined as in linear system theory (i.e. if and ). In contrast to standard treatment of the subject we present a criterion for observability which is not a generalization of a known linear test. It is obtained by evaluation of “approximate first integrals”. This concept is borrowed from nonlinear control theory where it appears under the label “Dissipation Inequality” and serves as a link with Hamilton-Jacobi...
M. L. J. Hautus (1995)
Kybernetika
Zbigniew Zaczkiewicz, Vladimir Marchenko (2006)
Control and Cybernetics