Construction of Lyapunov Functions for Nonlinear Systems Using Normal Forms

✍ Scribed by Carla A Schwartz; Aiguo Yan

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 191 KB
• Volume: 216
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.1997.5679

✦ Synopsis

In 8 , the authors used normal form theory to construct Lyapunov functions for critical nonlinear systems in normal form coordinates. In this work, the authors expand on those ideas by providing a method for constructing the associated normal form transformations that gives rise to the systematic development of a method for constructing Lyapunov functions for critical nonlinear systems in their original coordinates.