๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Ladder realizations of multivariable positive real functions

โœ Scribed by M.O. Ahmad; C.H. Reddy; V. Ramachandran; M.N.S. Swamy

Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
683 KB
Volume
307
Category
Article
ISSN
0016-0032

No coin nor oath required. For personal study only.

โœฆ Synopsis

Necessary and sufficient conditions are obtained for the realization of an m-variable positive real function (PRF) as the impedance function of a resistivelyterminated ladder network of m lossless two-ports connected in cascade. Each two-port is a single-variable lossless ladder with all of ifs transmission zeros either at the origin or at infinity. Conditions are also obtained when each of the two-ports is a Fujisawa-type lowpass ladder.

๐Ÿ“œ SIMILAR VOLUMES

On the realizability of non-rational pos
On the realizability of non-rational positive real functions
โœ V. Belevitch ๐Ÿ“‚ Article ๐Ÿ“… 1973 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 863 KB

The paper deals with the analysis and synthesis of passive reciprocal one-ports composed of an infinite number of conventional elements (positive R, L, C and ideal transformers), considered as equivalent circuits of physical distributed oneports. In the generalization from finite to infinite network

Some Theorems on sum Separability of Mul
Some Theorems on sum Separability of Multivariable Reactance and Positive Real Functions
โœ V. Ramachandran; C.H. Reddy; M.N.S. Swamy ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 463 KB

New necessary and sufficient conditions, which are also algorithmic in nature, are obtained for the decomposition of a multivariable reactance function or a multivariable positive real function into a sum of several single variable reactance functions or several single variable positive real functio

Restrictions of the derivatives of posit
Restrictions of the derivatives of positive real functions
โœ F.M. Reza ๐Ÿ“‚ Article ๐Ÿ“… 1981 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 472 KB

The paper relates the power engineering problem of the extremal values of effective energy flow to a well established branch of mathematics; namely, the spectral analysis of linear operators. Variation of the effective energy flow in a linear timeinvariant power distribution system is studied in the

On neighborhoods of analytic functions w
On neighborhoods of analytic functions with positive real part
โœ Janusz Sokรณ ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 95 KB

## Abstract Let __h__(__z__) = __z__ + __a__~2~__z__^2^ + โ‹…โ‹…โ‹… be analytic in the unit disc \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}${\cal U}$\end{document} on the complex plane \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbf {

Analysis and synthesis of strictly posit
Analysis and synthesis of strictly positive real transfer functions
โœ H.J. Marquez; C.J. Damaren ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 562 KB

The concept of strictly positive real (SPR) transfer functions is examined. It is shown that commonly used frequency domain conditions for SPR do not satisfy some of the most basic elements of the definition and properties of this class of functions. For a given Hurwitz polynomial a, a degree n, we