Connective stability of nonlinear matrix systemsConsideration of stability under structural perturbations of free dynamic systems described by the differential equation dx/dt = A(t,x)x, where the matrix A(t,x) has time-varying nonlinear elements. The concept of 'connective stability' is introduced to study the structural properties of competitive-cooperative nonlinear matrix systems. It is shown that stability reliability in such systems is high and that they remain stable despite time-varying (including 'on-off') interaction among individual agents present in the system. The results obtained can be used to study stability aspects of mathematical models arising in as diverse fields as economics, biology, arms races, and transistor circuits.
Document ID
19740052434
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Siljak, D. D. (Santa Clara, University Santa Clara, Calif., United States)
Date Acquired
August 7, 2013
Publication Date
January 1, 1974
Subject Category
Mathematics
Meeting Information
Meeting: International Symposium on Circuits and Systems