Path-Based Stability Analysis for Monotone Control Systems on Proper Cones

• 成果类型: Article
• 署名作者: Kawano, Yu; Besselink, Bart
• 署名单位: Hiroshima University; University of Groningen
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3118327
• 发表日期: 2022
• 页码: 5517-5524
• 关键词: Cooperative systems; trajectory; asymptotic stability; Stability criteria; Circuit stability; Lyapunov methods; tools; monotone systems; Nonlinear systems; paths; proper cones; STABILITY

摘要

In this article, we study positive invariance and attractivity properties for nonlinear control systems, which are monotone with respect to proper cones. Monotonicity simplifies such analysis for specific sets defined by the proper cones. Instead of Lyapunov functions, a pair of so-called paths in the state space and input space play important roles. As applications, our results are utilized for analysis of asymptotic stability and also input-to-state stability on proper cones. The results are illustrated by means of examples.