Construction of Lyapunov functions for nonlinear systems using normal forms

[摘要] 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 farm transformations that gives rise to the systematic development of a method for constructing Lyapunov functions for critical nonlinear systems in their Original coordinates. (C) 1997 Academic Press.

[发布日期] 1997-12-15