Journal ArticleDOI
Connective stability of competitive equilibrium
Reads0
Chats0
TLDR
In this paper, the authors derived necessary and sufficient conditions for connective stability of non-linear matrix systems described by the equation [email protected] = A(t, x) x, where the matrix has time-varying nonlinear elements.About:
This article is published in Automatica.The article was published on 1975-07-01. It has received 48 citations till now.read more
Citations
More filters
Journal ArticleDOI
Parameter space methods for robust control design: a guided tour
TL;DR: The results obtained in studies of robust stability and stabilizability of control systems with parametric (structured) uncertainties are reviewed in this paper, where both the algebraic methods based upon characteristic equations and the methods using Lyapunov functions and Riccati equations are discussed and compared.
Journal ArticleDOI
Stability in Models of Mutualism
TL;DR: A simple test for global stability in a large class of nonlinear models of mutualism suggests that in nature mutualism is less common than competition and predation.
Journal ArticleDOI
Evolution of Complex Networks via Edge Snapping
TL;DR: A novel adaptive strategy for consensus and synchronization of complex networks inspired by bistable phenomena that are observed in a variety of mechanical systems is presented, that involves the topology of the network itself rather than its coupling gains.
Journal ArticleDOI
Necessary and sufficient conditions for delay-independent stability of linear autonomous systems
R. Lewis,Brian D. O. Anderson +1 more
TL;DR: In this paper, it was shown that quasi-diagonal dominance is also necessary for stability with respect to small perturbations and arbitrary off-diagonal time delays, and weaker necessary conditions were given for systems which are themselves stable for all time delays.
Journal ArticleDOI
Brief paper: Lyapunov functions for diagonally dominant systems
TL;DR: It is shown that the results of the construction of Lyapunov functions for the finite dimensional linear systemx@?= Ax imply certain inequalities which have an intuitively appealing information theoretic significance.
References
More filters