Accession Number:

ADA106794

Title:

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

Descriptive Note:

Memorandum rept.,

Corporate Author:

CALIFORNIA UNIV BERKELEY ELECTRONICS RESEARCH LAB

Personal Author(s):

• Gannett, J. W.
• Chua, L. O.

Report Date:

1980-07-16

Pagination or Media Count:

114.0

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

Descriptors:

• *NETWORKS
• *DYNAMIC PROGRAMMING
• OPTIMIZATION
• PASSIVE SYSTEMS
• NONLINEAR SYSTEMS
• LOSSES
• CONTROL THEORY
• INVARIANCE
• TIME DOMAIN

Subject Categories:

• Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE