State space realizations of nonlinear systems defined by input-output differential equations. (English) Zbl 0675.93031

Crouch, P. E.; Lamnabhi-Lagarrigue, F.

Analysis and optimization of systems, Proc. 8th Int. Conf., Antibes/France 1988, Lect. Notes Control Inf. Sci. 111, 138-149 (1988).

Summary: [For the entire collection see Zbl 0668.00022.]
We present an algorithm for finding, if possible, a state space representation of an input-output map described by a differential equation in the inputs and outputs. The proposed approach is constructive. Particular attention is paid to the case of bilinear systems.

MSC:

93B15	Realizations from input-output data
93C10	Nonlinear systems in control theory

Keywords:

input-output map; bilinear systems