Accession Number : AD0634366

Title :   A TOPOLOGICAL APPROACH TO THE STABILITY OF TIME-VARYING AND NONLINEAR NETWORKS,

Corporate Author : ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB

Personal Author(s) : Murata, Tadao

Report Date : MAY 1966

Pagination or Media Count : 67

Abstract : New techniques are presented which provide stability information for time-varying and nonlinear networks by inspection of the topology and the element values of the network. The derivation of the new techniques is based on Liapunov's second method for time-varying networks, his first method for nonlinear networks and network topology. More specifically, Liapunov's stability theorems of linear time-varying RLC networks are formulated in terms of the tree or chord-set products of the subnetorks derived from the state-space representation of the general networks. The local stability theorems of nonlinear time-invariant RC and RL networks are formulated in terms of the tree or chord-set products of subnetworks. Four examples are given to illustrate the above theorems. (Author)

Descriptors :   (*TOPOLOGY, *ELECTRICAL NETWORKS), STABILITY, INVARIANCE, TIME, NONLINEAR SYSTEMS, SYNTHESIS

Subject Categories : Electrical and Electronic Equipment
      Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE