Energy-Related Concepts for Nonlinear Time-Varying N-Ports: Passivity and Losslessness

Definitions of passivity and losslessness are presented which apply to n-port networks which are not necessarily linear, time-invariant, or lumped; in fact, these definitions apply to any n-port which has a dynamical system representation. For lumped, nonlinear n-port networks which can be mathemati...

Full description

Saved in:
Bibliographic Details
Main Authors: Gannett, J W, Chua, L O
Format: Report
Language:English
Subjects:
CONTROL THEORY
DYNAMIC PROGRAMMING
Frequency domain
INVARIANCE
LOSSES
N port networks
NETWORKS
NONLINEAR SYSTEMS
Operations Research
OPTIMIZATION
PASSIVE SYSTEMS
TIME DOMAIN
Online Access:Request full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Definitions of passivity and losslessness are presented which apply to n-port networks which are not necessarily linear, time-invariant, or lumped; in fact, these definitions apply to any n-port which has a dynamical system representation. For lumped, nonlinear n-port networks which can be mathematically represented by a finite-order dynamical system, conditions for passivity and losslessness are formulated in terms of properties of the state equation function, the output function, etc. These conditions can be verified without solving the state equation, and can be viewed as nonlinear generalizations of the well-known time-domain and frequency-domain passivity and losslessness conditions for linear time-invariant lumped n-port networks. (Author)