Accession Number : AD0614800

Title :   OPTIMAL MATCHING OF LINEAR TIME-VARYING NETWORKS,

Corporate Author : ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB

Personal Author(s) : Tracey,Robert John

Report Date : APR 1965

Pagination or Media Count : 34

Abstract : The calculus of variations is used to obtain the optimal load network for a linear time-varying n-port network excited at each port by arbitrary signals. The given network is represented using a state variable description; use of a matrix of Lagrange multipliers in the variational process then leads directly to the state variable description of the adjoint matching network. The choice of anticipative or non-anticipative load networks is considered. The general result is then specialized to obtain the usual condition required for matching time-invariant networks in the periodic steady state. Conditions which guarantee the existence of an optimal match are obtained from the second variation. Finally, the entire matching process is interpreted in terms of the lossy and lossless parts of the network response. (Author)

Descriptors :   (*ELECTRICAL NETWORKS, OPTIMIZATION), (*CALCULUS OF VARIATIONS, ELECTRICAL NETWORKS), ENERGY, LINEAR SYSTEMS, IMPEDANCE MATCHING

Distribution Statement : APPROVED FOR PUBLIC RELEASE