The author introduces the four representations of a scalar linear system and establishes the major results of a similar theory for multivariable systems appearing in a succeeding volume (Part II: Multivariable Linear Systems and Projective Algebraic Geometry).
The primary focus of this book is on explicating the direct method approach. Integration methods (for example the gradient method) and representation methods (such as... Læs mere
The first volume dealt with the simplest control systems (i.e., single input, single output linear time-invariant systems) and with the simplest algebraic geometry (i.e., affine algebraic geometry).
Control theory represents an attempt to codify, in mathematical terms, the principles and... Læs mere