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Displaying 81 – 100 of 206

Remarks on exact controllability for the Navier-Stokes equations

Oleg Yu. Imanuvilov (2010)

ESAIM: Control, Optimisation and Calculus of Variations

We study the local exact controllability problem for the Navier-Stokes equations that describe an incompressible fluid flow in a bounded domain Ω with control distributed in a subdomain $ω \subset Ω \subset ℝ^{n}, n \in {2, 3}$ . The result that we obtained in this paper is as follows. Suppose that $\hat{v} (t, x)$ is a given solution of the Navier-Stokes equations. Let $v_{0} (x)$ be a given initial condition and $∥ \hat{v} (0, \cdot) - v_{0} ∥ < ε$ where ε is small enough. Then there exists a locally distributed control $u, supp u \subset (0, T) \times ω$ such that the solution v(t,x) of the Navier-Stokes equations: $\partial_{t} v - Δ v + (v, \nabla) v = \nabla p + u + f, div v = 0, v {|_{\partial Ω} = 0, v |}_{t = 0} = v_{0}$ coincides...

Remarks on global controllability for the Burgers equation with two control forces

S. Guerrero, O. Yu. Imanuvilov (2007)

Annales de l'I.H.P. Analyse non linéaire

Remarks on inertia theorems for matrices

Harald K. Wimmer, Allen D. Ziebur (1975)

Czechoslovak Mathematical Journal

Remarks on non controllability of the heat equation with memory

Sergio Guerrero, Oleg Yurievich Imanuvilov (2013)

ESAIM: Control, Optimisation and Calculus of Variations

In this paper we deal with the null controllability problem for the heat equation with a memory term by means of boundary controls. For each positive final time T and when the control is acting on the whole boundary, we prove that there exists a set of initial conditions such that the null controllability property fails.

Remarks on null controllability for semilinear heat equation in moving domains.

Menezes, S.B., Limaco, J., Medeiros, L.A. (2003)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Remarks on Parameter Identification. I.

R. Guenther, R. Hudspeth, W. McDougal (1985)

Numerische Mathematik

Remarks on the controllability of nonlinear perturbations of Volterra integrodifferential systems.

Balachandran, K., Balasubramaniam, P. (1995)

Journal of Applied Mathematics and Stochastic Analysis

Remarks on the theory of implicit linear continuous-time systems

K. Maciej Przyłuski, Andrzej M. Sosnowski (1994)

Kybernetika

Remarques sur l’observabilité pour l’équation de Laplace

Kim-Dang Phung (2003)

ESAIM: Control, Optimisation and Calculus of Variations

Nous quantifions la propriété de continuation unique pour le laplacien dans un domaine borné quand la condition aux bords est a priori inconnue. Nous établissons une estimation de dépen-dance de type logarithmique suivant la terminologie de John [5]. Les outils utilisés reposent sur les inégalités de Carleman et les techniques des travaux de Robbiano [8, 11]. Aussi, nous déterminons en application de l’inégalité d’observabilité obtenue un coût du contrôle approché pour un problème elliptique modèle....

Remarques sur l'observabilité pour l'équation de Laplace

Kim-Dang Phung (2010)

ESAIM: Control, Optimisation and Calculus of Variations

We consider the Laplace equation in a smooth bounded domain. We prove logarithmic estimates, in the sense of John [5] of solutions on a part of the boundary or of the domain without known boundary conditions. These results are established by employing Carleman estimates and techniques that we borrow from the works of Robbiano [8,11]. Also, we establish an estimate on the cost of an approximate control for an elliptic model equation.

Representation theorem for stochastic differential equations in Hilbert spaces and its applications.

Ungureanu, Viorica Mariela (2006)

Surveys in Mathematics and its Applications

Reproducing kernels and Riccati equations

Harry Dym (2001)

International Journal of Applied Mathematics and Computer Science

The purpose of this paper is to exhibit a connection between the Hermitian solutions of matrix Riccati equations and a class of finite dimensional reproducing kernel Krein spaces. This connection is then exploited to obtain minimal factorizations of rational matrix valued functions that are J-unitary on the imaginary axis in a natural way.

Research problems of Jerzy Zabczyk

Szymon Peszat, Łukasz Stettner (2015)

Banach Center Publications

In the paper we present a selected variety of problems studied by Professor Jerzy Zabczyk. Important part of Prof. Zabczyk's scientific activity was devoted to his PhD students. He has promoted 9 PhD students: Tomasz Bielecki, Jarosław Sobczyk, Łukasz Stettner and Gianmario Tessitore work mostly in control and its applications to mathematical finance, whereas the research of Anna Chojnowska-Michalik, Wojciech Jachimiak, Anna Milian, Szymon Peszat and Anna Rusinek is concentrated mostly on stochastic...

Residual generator fuzzy identification for automotive diesel engine fault diagnosis

Silvio Simani (2013)

International Journal of Applied Mathematics and Computer Science

Safety in dynamic processes is a concern of rising importance, especially if people would be endangered by serious system failure. Moreover, as the control devices which are now exploited to improve the overall performance of processes include both sophisticated control strategies and complex hardware (input-output sensors, actuators, components and processing units), there is an increased probability of faults. As a direct consequence of this, automatic supervision systems should be taken into...

Residual models for nonlinear partial differential equations.

Pantelis, Garry (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Resolvent estimates in controllability theory and applications to the discrete wave equation

Sylvain Ervedoza (2009)

Journées Équations aux dérivées partielles

We briefly present the difficulties arising when dealing with the controllability of the discrete wave equation, which are, roughly speaking, created by high-frequency spurious waves which do not travel. It is by now well-understood that such spurious waves can be dealt with by applying some convenient filtering technique. However, the scale of frequency in which we can guarantee that none of these non-traveling waves appears is still unknown in general. Though, using Hautus tests, which read the...

Response-time analysis of a CAN network used for supervisory control and diagnostic systems

Jan Werewka, Mirosław Dach (2010)

Control and Cybernetics

Results of short-period helicopter system identification using output-error and hybrid search-gradient optimization algorithm.

Cruz, Ronaldo Vieira, Góes, Luiz Carlos Sandoval (2010)

Mathematical Problems in Engineering

Results on existence of solution for an optimal design problem.

Carmen Calvo Jurado, Juan Casado Díaz (2003)

Extracta Mathematicae

In this paper we study a control problem for elliptic nonlinear monotone problems with Dirichlet boundary conditions where the control variables are the coefficients of the equation and the open set where the partial differential problem is studied.

Return method : application to controllability

J.-M. Coron (1992/1993)

Séminaire Équations aux dérivées partielles (Polytechnique)

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