Open dynamical systems and their control
Jan C. Willems · EMS Press eBooks · 1998
. 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: 93B05, 93B07, 93B36, 93B51, 93C05, 93C15 Keywords and Phrases: Dynamical systems, open systems, behaviors, controllability, observability, control, stabilization. 1 Introduction The purpose of this presentation is to explain some of the main features of the theory of open dynamical systems. The adjective `open' refers to systems that interact with their environment. This interaction may take the form of exchange of a physical quantity as mass or energy, or it may simply consist of exchange of information. Closed dynamical systems have been studied very extensivel...