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

Abstract

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)

Document Details

Document Type
Technical Report
Publication Date
Jul 16, 1980
Accession Number
ADA106794

Entities

People

  • J. W. Gannett
  • Leon O. Chua

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Equations
  • Equations Of State
  • Frequency Domain
  • Passivity
  • Time Domain

Readers

  • Control Systems Engineering.
  • Linear Algebra