DOCUMENTA MATHEMATICA, Extra Volume ICM III (1998), 697-706

Jan C. Willems

Title: Open Dynamical Systems and their Control

A mathematical framework for studying open dynamical systems is sketched. Special attention is given in the exposition to linear time-invariant differential systems. The main concepts that are introduced are the behavior, manifest and latent variables, controllability, and observability. The paper ends with a discussion of control, which is viewed as system interconnection.

1991 Mathematics Subject Classification: \EndAbstract 93B05, 93B07, 93B36, 93B51, 93C05, 93C15

Keywords and Phrases: Dynamical systems, open systems, behaviors, controllability, observability,

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