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Compartmental modeling and power flow analysis for state space systems

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2 Author(s)
Bernstein, D.S. ; Harris Corp., Melbourne, FL, USA ; Hyland, D.C.

A connection between arbitrary (not necessarily nonnegative) state space systems and compartmental models is discussed. Specifically, a dynamical model is obtained for the nonnegative diagonal elements of the nonnegative-definite second-moment matrix, which arises from an additive white noise model. Kronecker and Hadamard (Schur) matrix algebra is used to derive the dynamics of the diagonal elements of the second-moment matrix which satisfies a Lyapunov differential equation. Conditions under which the steady-state values of the diagonal elements satisfy a steady-state compartmental model are given

Published in:

Decision and Control, 1991., Proceedings of the 30th IEEE Conference on

Date of Conference:

11-13 Dec 1991