Discrete- time systems and difference algebra. (Automatique en temps discret et algèbre aux différences.) (French) Zbl 0706.93039

Summary: A new theory of discrete-time linear and nonlinear systems, based on difference algebra, is presented. Many new results are obtained concerning the definition of input and output, invertibility, realization and causality, feedback synthesis for decoupling and linearization. The old question concerning the relationship between continuous-time and discrete-time systems, which up to now was not clarified in the nonlinear case, is completely elucidated here since our approach in many respects mimics what has been done for continuous-time systems with differential algebra [see the author, ibid. 1, No.3, 227-238 (1989; Zbl 0701.93048)].


93C55 Discrete-time control/observation systems
12H10 Difference algebra
39A10 Additive difference equations
93A99 General systems theory
93C05 Linear systems in control theory
93C10 Nonlinear systems in control theory


Zbl 0701.93048
Full Text: DOI EuDML