Crouch, P. E. Finite Volterra series. (English) Zbl 0384.93011 Conf. geom. Control Theory, Ames Res. Cent. (NASA) 1976, 387-404 (1977). The author discusses some properties of minimal realization of finite Volterra series. The principal new results are that the lie algebra of a minimal linear analytic realization of a finite Volterra series is solvable hence the state space is a solvmanifold and if, in addition, the Volterra series is stationary then the state space can be taken to be Euclidean. This review text is based on a scanned copy of the printed version. It was converted to LaTeX using MathPix and a specifically developed LLM to assign the text parts to the metadata. It may contain errors, misassignments, or gaps; in particular, the reviewer signature has not yet been extracted reliably in general. If you notice any errors, please report them directly to our editorial team via the Contact Form. Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 93B15 Realizations from input-output data 22E25 Nilpotent and solvable Lie groups × Cite Format Result Cite Review PDF