Control Theory in the Plane (Lecture Notes in Control and Information Sciences, Vol 153)

This book introduces and illustrates with examples, the theory of control for systems governed by ordinary differential equations, with special reference to the two-dimensional case. The systems covered are continuous, finite-dimensional, deterministic and those with a priori bounds on the admissible controls. A particular feature of the book is an examination of control systems whose state space is the phase plane. As with differential equations, where specialization to the plane provides a more complex theory (for example, the results of Poincare and Bendixson), control theory of two-dimensional systems also has more meaningful results.