Author: Tawfik Masrour
Publisher:
ISBN:
Category :
Languages : fr
Pages : 0
Book Description
Controlabilité et observation des systèmes distribués, problèmes et méthodes
Contrôlabilité et Observation des Systèmes Distribués, Problèmes et Méthodes
Author: Tawfik Masrour
Publisher: Tawfik Masrour
ISBN:
Category :
Languages : fr
Pages : 199
Book Description
Cet ouvrage contient une série de contributions consacrées au contrôle des problèmes de mécanique des milieux continus. Les problèmes : On a d'abord observé que l'étude théorique de beaucoup de problèmes de contrôlabilité exacte se ramenait à la preuve d'estimations a priori sur les solutions des problèmes homogènes adjoints. Ces estimations correspondent selon l'intuition à la stabilité de l'observation. Ceci est bien sûr un des résultats et ingrédients essentiels de la méthode d'unicité Hilbertienne «HUM» dûe à J.L. Lions. Bien entendu, la pertinence des équations dépend de la taille des paramètres caractéristiques du problème ; l'exemple le plus fondamental dans notre domaine étant l'équation des plaques bidimensionnelles qui est obtenue comme cas limite de l'élasticité tridimensionnelle lorsque l'épaisseur tend vers zéro ( travaux de Ph.G. Ciarlet et ses collaborateurs pour une étude systématique). Il est alors naturel d'analyser comment les propriétés de contrôle, de stabilisation et d'observation persistent lors des passages à la limite. Cette propriété n'est pas systématique et souvent lorsqu'elle est vraie, difficile à prouver (voir Cioranescu et Saint Jean Paulin et Figueiredo et Zuazua. Les méthodes : Il s'agit d'estimer des quantités qui s'interprètent comme des énergies. Il est donc naturel de s'inspirer des méthodes classiques de contrôle de propagation de l'énergie.
Publisher: Tawfik Masrour
ISBN:
Category :
Languages : fr
Pages : 199
Book Description
Cet ouvrage contient une série de contributions consacrées au contrôle des problèmes de mécanique des milieux continus. Les problèmes : On a d'abord observé que l'étude théorique de beaucoup de problèmes de contrôlabilité exacte se ramenait à la preuve d'estimations a priori sur les solutions des problèmes homogènes adjoints. Ces estimations correspondent selon l'intuition à la stabilité de l'observation. Ceci est bien sûr un des résultats et ingrédients essentiels de la méthode d'unicité Hilbertienne «HUM» dûe à J.L. Lions. Bien entendu, la pertinence des équations dépend de la taille des paramètres caractéristiques du problème ; l'exemple le plus fondamental dans notre domaine étant l'équation des plaques bidimensionnelles qui est obtenue comme cas limite de l'élasticité tridimensionnelle lorsque l'épaisseur tend vers zéro ( travaux de Ph.G. Ciarlet et ses collaborateurs pour une étude systématique). Il est alors naturel d'analyser comment les propriétés de contrôle, de stabilisation et d'observation persistent lors des passages à la limite. Cette propriété n'est pas systématique et souvent lorsqu'elle est vraie, difficile à prouver (voir Cioranescu et Saint Jean Paulin et Figueiredo et Zuazua. Les méthodes : Il s'agit d'estimer des quantités qui s'interprètent comme des énergies. Il est donc naturel de s'inspirer des méthodes classiques de contrôle de propagation de l'énergie.
Contrôlabilité exacte, perturbations et stabilisation de systèmes distribués: Perturbations
Author: Jacques Louis Lions
Publisher: Elsevier Masson
ISBN:
Category : Control theory
Languages : fr
Pages : 296
Book Description
Publisher: Elsevier Masson
ISBN:
Category : Control theory
Languages : fr
Pages : 296
Book Description
Contrôlabilité exacte, perturbations et stabilisation de systèmes distribués: Contrôlabilité exacte
Author: Jacques-Louis Lions
Publisher: Elsevier Masson
ISBN:
Category : Calculus of variations
Languages : fr
Pages : 560
Book Description
Publisher: Elsevier Masson
ISBN:
Category : Calculus of variations
Languages : fr
Pages : 560
Book Description
Cahiers du Centre d'études de recherche opérationnelle
Author: Université libre de Bruxelles. Centre d'études de recherche opérationnelle
Publisher:
ISBN:
Category : Industrial management
Languages : en
Pages : 304
Book Description
Publisher:
ISBN:
Category : Industrial management
Languages : en
Pages : 304
Book Description
Air Quality
Author: Sunil Kumar
Publisher: BoD – Books on Demand
ISBN: 9535101617
Category : Technology & Engineering
Languages : en
Pages : 244
Book Description
The book reports research on relationship between fungal contamination and its health effects in large Asian cities, estimation of ambient air quality in Delhi, a qualitative study of air pollutants from road traffic, air quality in low-energy buildings, some aspects of the Sentinel method for pollution problem, evaluation of dry atmospheric deposition at sites in the vicinity of fuel oil fired power, particles especially PM 10 in the indoor environment, etc.
Publisher: BoD – Books on Demand
ISBN: 9535101617
Category : Technology & Engineering
Languages : en
Pages : 244
Book Description
The book reports research on relationship between fungal contamination and its health effects in large Asian cities, estimation of ambient air quality in Delhi, a qualitative study of air pollutants from road traffic, air quality in low-energy buildings, some aspects of the Sentinel method for pollution problem, evaluation of dry atmospheric deposition at sites in the vicinity of fuel oil fired power, particles especially PM 10 in the indoor environment, etc.
Proceedings of the Fifth International Conference on Analysis and Optimization of Systems, Versailles, December 14-17, 1982
Author: Alain Bensoussan
Publisher:
ISBN:
Category : Mathematical optimization
Languages : en
Pages : 1072
Book Description
Publisher:
ISBN:
Category : Mathematical optimization
Languages : en
Pages : 1072
Book Description
Control and Nonlinearity
Author: Jean-Michel Coron
Publisher: American Mathematical Soc.
ISBN: 0821849182
Category : Mathematics
Languages : en
Pages : 442
Book Description
This book presents methods to study the controllability and the stabilization of nonlinear control systems in finite and infinite dimensions. The emphasis is put on specific phenomena due to nonlinearities. In particular, many examples are given where nonlinearities turn out to be essential to get controllability or stabilization. Various methods are presented to study the controllability or to construct stabilizing feedback laws. The power of these methods is illustrated by numerous examples coming from such areas as celestial mechanics, fluid mechanics, and quantum mechanics. The book is addressed to graduate students in mathematics or control theory, and to mathematicians or engineers with an interest in nonlinear control systems governed by ordinary or partial differential equations.
Publisher: American Mathematical Soc.
ISBN: 0821849182
Category : Mathematics
Languages : en
Pages : 442
Book Description
This book presents methods to study the controllability and the stabilization of nonlinear control systems in finite and infinite dimensions. The emphasis is put on specific phenomena due to nonlinearities. In particular, many examples are given where nonlinearities turn out to be essential to get controllability or stabilization. Various methods are presented to study the controllability or to construct stabilizing feedback laws. The power of these methods is illustrated by numerous examples coming from such areas as celestial mechanics, fluid mechanics, and quantum mechanics. The book is addressed to graduate students in mathematics or control theory, and to mathematicians or engineers with an interest in nonlinear control systems governed by ordinary or partial differential equations.
Mathematical Reviews
Optimization, Optimal Control and Partial Differential Equations
Author: Viorel Barbu
Publisher: Springer Science & Business Media
ISBN: 9783764327880
Category : Mathematics
Languages : en
Pages : 376
Book Description
Variational methods in mechanics and physical models.- Fluid flows in dielectric porous media.- The impact of a jet with two fluids on a porous wall.- Critical point methods in nonlinear eigenvalue problems with discontinuities.- Maximum principles for elliptic systems.- Exponential dichotomy of evolution operators in Banach spaces.- Asymptotic properties of solutions to evolution equations.- On some nonlinear elastic waves biperiodical or almost periodical in mechanics and extensions hyperbolic nonlinear partial differential equations.- The controllability of infinite dimensional and distributed parameter systems.- Singularities in boundary value problems and exact controllability of hyperbolic systems.- Exact controllability of a shallow shell model.- Inverse problem: Identification of a melting front in the 2D case.- Micro-local approach to the control for the plates equation.- Bounded solutions for controlled hyperbolic systems.- Controllability and turbulence.- The H? control problem.- The H? boundary control with state feedback; the hyperbolic case.- Remarks on the theory of robust control.- The dynamic programming method.- Optimality and characteristics of Hamilton-Jacobi-Bellman equations.- Verification theorems of dynamic programming type in optimal control.- Isaacs' equations for value-functions of differential games.- Optimal control for robot manipulators.- Control theory and environmental problems: Slow fast models for management of renewable ressources.- On the Riccati equations of stochastic control.- Optimal control of nonlinear partial differential equations.- A boundary Pontryagin's principle for the optimal control of state-constrained elliptic systems.- Controllability properties for elliptic systems, the fictitious domain method and optimal shape design problems.- Optimal control for elliptic equation and applications.- Inverse problems for variational inequalities.- The variation of the drag with respect to the domain in Navier-Stokes flow, .- Mathematical programming and nonsmooth optimization.- Scalar minimax properties in vectorial optimization.- Least-norm regularization for weak two-level optimization problems.- Continuity of the value function with respect to the set of constraints.- On integral inequalities involving logconcave functions.- Numerical solution of free boundary problems in solids mechanics.- Authors' index
Publisher: Springer Science & Business Media
ISBN: 9783764327880
Category : Mathematics
Languages : en
Pages : 376
Book Description
Variational methods in mechanics and physical models.- Fluid flows in dielectric porous media.- The impact of a jet with two fluids on a porous wall.- Critical point methods in nonlinear eigenvalue problems with discontinuities.- Maximum principles for elliptic systems.- Exponential dichotomy of evolution operators in Banach spaces.- Asymptotic properties of solutions to evolution equations.- On some nonlinear elastic waves biperiodical or almost periodical in mechanics and extensions hyperbolic nonlinear partial differential equations.- The controllability of infinite dimensional and distributed parameter systems.- Singularities in boundary value problems and exact controllability of hyperbolic systems.- Exact controllability of a shallow shell model.- Inverse problem: Identification of a melting front in the 2D case.- Micro-local approach to the control for the plates equation.- Bounded solutions for controlled hyperbolic systems.- Controllability and turbulence.- The H? control problem.- The H? boundary control with state feedback; the hyperbolic case.- Remarks on the theory of robust control.- The dynamic programming method.- Optimality and characteristics of Hamilton-Jacobi-Bellman equations.- Verification theorems of dynamic programming type in optimal control.- Isaacs' equations for value-functions of differential games.- Optimal control for robot manipulators.- Control theory and environmental problems: Slow fast models for management of renewable ressources.- On the Riccati equations of stochastic control.- Optimal control of nonlinear partial differential equations.- A boundary Pontryagin's principle for the optimal control of state-constrained elliptic systems.- Controllability properties for elliptic systems, the fictitious domain method and optimal shape design problems.- Optimal control for elliptic equation and applications.- Inverse problems for variational inequalities.- The variation of the drag with respect to the domain in Navier-Stokes flow, .- Mathematical programming and nonsmooth optimization.- Scalar minimax properties in vectorial optimization.- Least-norm regularization for weak two-level optimization problems.- Continuity of the value function with respect to the set of constraints.- On integral inequalities involving logconcave functions.- Numerical solution of free boundary problems in solids mechanics.- Authors' index