Title :
Compartmental modeling and power flow analysis for state space systems
Author :
Bernstein, Dennis S. ; Hyland, David C.
Author_Institution :
Harris Corp., Melbourne, FL, USA
Abstract :
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
Keywords :
Lyapunov methods; differential equations; matrix algebra; modelling; state-space methods; Kronecker and Hadamard; Lyapunov differential equation; additive white noise model; compartmental models; dynamical model; matrix algebra; nonnegative diagonal elements; nonnegative-definite second-moment matrix; power flow analysis; second-moment matrix; state space systems; Additive white noise; Biological system modeling; Computational biology; Coupling circuits; Differential equations; Equations; Load flow analysis; Matrices; Power generation economics; Power system modeling; State-space methods; Steady-state;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261676
