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

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