Algebraic-Geometric Techniques for Linear Periodic Discrete-Time Systems
Osvaldo Maria Grasselli, Sauro Longhi · Birkhäuser Boston eBooks · 1990
The analysis and control of linear periodic discrete-time systems have been approached both through geometric and algebraic techniques. They are described here, together with the main problems solved through them. The geometric techniques are based on the periodic notions of (A,B)-invariant and (C,A)-invariant subspaces and some special types of such subspaces; e.g. inner (outer) controllable or reachable subspaces. Among the algebraic techniques, notions of pole and zeros of several types are emphasized for such systems. A time-invariant matrix mechanism allows to deal both with the geometric and the algebraic approaches. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.