On the existence of periodic solutions for large-scale systems

DOI10.1007/BF02006219zbMath0657.93005OpenAlexW1974112014MaRDI QIDQ1111494

Lian Wang, Shaoming Lu, Muqiu Wang

Publication date: 1988

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02006219

zbMATH Keywords

Lyapunov functionsexistence of periodic solutionslarge-scale system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15) Large-scale systems (93A15)

Cites Work

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• Stability by Liapunov's direct method. With applications
• Qualitative analysis of large scale dynamical systems
• Stability theory and the existence of periodic solutions and almost periodic solutions

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