Dual approach to Lyapunov stability

作者:Michalak Anna*
来源:Nonlinear Analysis-Theory Methods & Applications, 2013, 85: 174-179.
DOI:10.1016/j.na.2013.02.007

摘要

We investigate the problem of Lyapunov stability for nonautonomous ODEs for which the right-hand side is only Lebesgue-measurable with respect to time t, x' = f (t, x). We describe how to use the dual Lyapunov function in dual space and the Hamilton-Jacobi inequality to formulate sufficient conditions for the stability of the zero solution in primary and dual space.

  • 出版日期2013-7

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