Singular Trajectories And Their Role In Control Theory (mathématiques Et Applications)

E-Book Overview

The role of singular trajectories in control theory is analysed in this volume that contains about 60 exercieses and problems. A section is devoted to the applications of singular trajectories to the optimisation of batch reactors. The theoretical paart based on the Martinet case concerns the singulatrity analysis of singular trajectories in sub-Riemannian geometry. An algorithm is gibven to evaluate conjugate points and a final chapter discusses open problems. The volume will interest mathematicians and engineers.

E-Book Content

Mathematiques & Applications 40 Bernard Bonnard Monique Chyba Singular Trajectories and their Role in Control Theory ra, I Springer El MATHEMATIQUES APPLICATIONS Directeurs de la collection: X. Guyon et J: M. Thomas 40 Springer Paris Berlin Heidelberg New York Hong Kong Londres Milan Tokyo MATHEMATIQUES & APPLICATIONS Comitts de Lecture/ Editorial Board JEAN-MARL AZAls RoBFRr ROUSSARIE Stat. et Proba.. U.P.S., Toulouse [email protected] Topologie. Univ. de Bourgogne, Dijon FRANCas BACCFLU LIENS-DMI, ENS. Paris [email protected] [email protected] CIAUDE SAMSON INRIA Sophia-Antipolis [email protected] MICHEL BENAIM BERNARD SARAMIT+O Maths, Univ. de Cergy-Pontoise Maths Appl., Univ. de Clermont 2 [email protected] M ichel. Benai m @ math.u-cergy.fr DANIEL CLAUDE MARC SCHOENAUFR LSS, Supelec, Gif sur Yvette INRIA Rocquencourt, It Chesnay Daniel.C laude @ lss. supelec. fr [email protected] THIERRY COLIN ZHAN SHI Probabilites. Univ. Paris 6 [email protected] Inst. Maths. Univ de Bordeaux I [email protected] MARIE FRANCOIsE Cosm-Roy IRMAR, Univ. de Rennes [email protected] PIERRE SUQuI r MEcanique et Acoustique, CNRS, Marseille. [email protected] JEAN-MARIE THOMAS GERARD Inst. Von Karman, Belgique [email protected] Maths. Appl., Univ. de Pau [email protected] JEAN DELLA-DORA AIAIN TROUVE Inst. Galilee, Univ. Paris 13
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