Singular Trajectories and Their Role in Control Theory

Singular Trajectories and Their Role in Control Theory

by Bernard Bonnard, Monique Chyba

357 pages· 2003· ISBN 9783540008385

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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.

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