Analysis of coordinate and other transformations of models of dynamical systems by the reduction method

DOI10.1134/S0081543810050184zbMath1310.34048OpenAlexW2051608319MaRDI QIDQ481092

Yong-Cai Geng, Sumit K. Garg

Publication date: 12 December 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543810050184

zbMATH Keywords

stabilitydissipativitydifferential equationsreduction methodcoordinate transformationsvector Lyapunov functionsformation stabilitygroup control

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Stability of solutions to ordinary differential equations (34D20)

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Necessary and sufficient conditions for internal stability of linear formations

Cites Work

• Stability theory by Liapunov's direct method
• Information Flow and Cooperative Control of Vehicle Formations
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