Strong and Weak Leonov Functions for Global Boundedness of State Periodic Systems

• 成果类型: Article
• 署名作者: Schiffer, Johannes; Efimov, Denis
• 署名单位: Universite de Lille; Centrale Lille; Inria; Centre National de la Recherche Scientifique (CNRS); CNRS - Institute for Information Sciences & Technologies (INS2I)
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3251903
• 发表日期: 2023
• 页码: 7958-7965
• 关键词: Lyapunov methods; Nonlinear systems; Periodic structures; state periodic systems

摘要

We present new results for the analysis of global boundedness of state periodic systems. Thereby, we address both the case of systems, whose dynamics is periodic with respect to a part of the state vector, and the case of systems, whose dynamics is periodic with respect to all state variables. To derive the results, the notion of strong Leonov functions is introduced. The main results are complemented by a number of relaxations based on the concept of weak Leonov functions.