Scalable Input-to-State Stability of Nonlinear Interconnected Systems

• 成果类型: Article
• 署名作者: Silva, Guilherme Froes; Donaire, Alejandro; Middleton, Richard; Mcfadyen, Aaron; Ford, Jason
• 署名单位: Queensland University of Technology (QUT); University of Newcastle
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3468069
• 发表日期: 2025
• 页码: 1824-1834
• 关键词: Stability criteria; Power system stability; Interconnected systems; vectors; Lyapunov methods; scalability; trajectory; Nonlinear systems; scalable input-to-state stability (sISS); vector Lyapunov functions

摘要

This article investigates the scalable input-to-state stability (sISS) property of networks of interconnected systems using the local Lyapunov functions of the individual systems or agents that compose the network. Ensuring sISS of the network prevents the amplification of disturbances through the network, provides uniform transient performance with respect to the number of interconnected systems, and enables network scalability. Our first contribution is to provide sufficient conditions for sISS of networks using sISS vector Lyapunov functions. These sufficient conditions are given in terms of the Lyapunov functions of the agents. We use vector Lyapunov functions, the comparison lemma, and contraction analysis to prove the result. Our second contribution provides conditions for sISS of weakly coupled interconnected systems. This result allows us to study the sISS of exponentially stable systems interconnected by weak coupling links. We illustrate the application of the results in four examples.