Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
698672 | Automatica | 2006 | 7 Pages |
Abstract
We consider a class of systems with a cyclic interconnection structure that arises, among other examples, in dynamic models for certain biochemical reactions. We first show that a “secant” criterion for local stability, derived earlier in the literature, is in fact a necessary and sufficient condition for diagonal stability of the corresponding class of matrices. We then revisit a recent generalization of this criterion to output strictly passive systems, and recover the same stability condition using our diagonal stability result as a tool for constructing a Lyapunov function. Using this procedure for Lyapunov construction we exhibit classes of cyclic systems with sector nonlinearities and characterize their global stability properties.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Murat Arcak, Eduardo D. Sontag,