Realization of nonlinear composite systems
Tanel Mullari, Ülle Kotta, Sven Nõmm, Maris Tõnso
Abstract
Tanel Mullari, Ülle Kotta, Sven Nõmm, Maris Tõnso
Abstract
Abstract: The paper studies the realization problem for series and parallel connections of nonlinear single-input single-output systems, described by higher order differential equations. Necessary and sufficient conditions are given for the existence of the classical state space realization in both cases. It is proved that post- and parallel compensators are of no help in overcoming non-realizability. Results are illustrated by an example.
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Abstract: The paper studies the realization problem for series and parallel connections of nonlinear single-input single-output systems, described by higher order differential equations. Necessary and sufficient conditions are given for the existence of the classical state space realization in both cases. It is proved that post- and parallel compensators are of no help in overcoming non-realizability. Results are illustrated by an example.
Key concepts: Realizability, Realization (probability), Nonlinear system, State space, Control theory (sociology), Mathematics, Series (stratigraphy), Applied mathematics