Singular trajectories and their role in control theory

Bernard Bonnard, Monique Chyba

374 pages, parution le 21/05/2003

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Résumé

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

Contents

Linear systems and the time optimal control problem
Optimal control for nonlinear systems
Geometric optimal control
Controllability - Higher order maximum principle -Legendre - Clabsch and Goh necessary optimality conditions
The concept of conjugate points in the time minimal control problem for singular trajectories, C ⁰ - Optimality
Time minimal control of chemical batch reactors and singular trajectories
Generic properties of singular trajectories
Singular trajectories in sub-Riemannian geometry
Micro-local resolution of the singularity near a singular trajectory - Lagrangian manifolds and symplectic stratifications
Numerical computations
Conclusion and perspectives

References
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Bernard Bonnard, Monique Chyba
Parution	21/05/2003
Nb. de pages	374
Format	15,5 x 23,5
Couverture	Broché
Poids	570g
Intérieur	Noir et Blanc
EAN13	9783540008385