A TIME DOMAIN CHARACTERIZATION OF RATIONAL POSITIVE-REAL MATRICES.
Abstract
Let w(t) denote the distributional inverse Laplace transform of a rational function W(s), where the corresponding region of convergence is taken to be a half-plane extending infinitely to the right. In addition it is assumed that w(t) is an ordinary function that satisfies certain conditions on its integrability, then it is shown that a necessary and sufficient condition for W(s) to be positive-real is that the even part of w(t) be a nonnegative-definite function. Necessary and sufficient conditions are established, which characterize the universe Laplace transform of W(s) in terms of nonnegativedefinite distribution and their orders. A similar result for positive-real matrices is given. The two theorems give a complete time-domain characterization of lumped linear fixed finite and passive n-ports. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 05, 1963
- Accession Number
- AD0430564
Entities
People
- A. H. Zemanian
Organizations
- State University of New York