# Control Theory in the Plane

- Editors

Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 153)

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- Editors

Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 153)

This book introduces, presents, and illustrates, the theory of control for systems governed by ordinary differential equations, with special references to the two-dimensional case. These systems are continuous, finite-dimensional, deterministic, with a priori bounds on the admissible controls. Its form is that of a graduate-level textbook, involving motivation, a rather elementary level of exposition, illustrative examples, and extensive problem sections. It is addressed to applied mathematicians and engineers (system, control, electrical, mechanical, chemical) who wish to acquire further mathematical background in order to treat the subject they already know is both fascinating and important. Hopefully, it might also serve those whose interest is in modeling, bio-mathematics, and economics. The special feature of this book is the focused study, in the second part, of control systems whose state space is the phase plane. As with differential equations, where specialisation to the plane provides a far richer theory (the classical results of Poincaré and Bendixson), control theory of two-dimensional systems also has more intuitive and deeper results.

Regelung Regelungstheorie control control system control theory differential equation modeling optimization system

- DOI https://doi.org/10.1007/BFb0042035
- Copyright Information Springer-Verlag 1991
- Publisher Name Springer, Berlin, Heidelberg
- eBook Packages Springer Book Archive
- Print ISBN 978-3-540-53553-9
- Online ISBN 978-3-540-46806-6
- Series Print ISSN 0170-8643
- Series Online ISSN 1610-7411
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