Title of Paper:Stability analysis of switched positive nonlinear systems: an invariant ray approach

Hits:

Date of Publication:2019-11-01

Journal:SCIENCE CHINA-INFORMATION SCIENCES

Included Journals:SCIE、EI

Volume:62

Issue:11

ISSN No.:1674-733X

Key Words:positive systems; switched nonlinear systems; stability

Abstract:This paper addresses the stability problem associated with a class of switched positive nonlinear systems in which each vector field is homogeneous, cooperative, and irreducible. Instead of using the Lyapunov function approach, we fully establish the invariant ray analysis method to establish several stability conditions that depend on the states, rays, and/or times. We illustrate the efficiency of our proposed approach using the example of a chemical reaction.