Analysis of the set of trajectories of nonlinear dynamics: Stability under interval initial conditions

作者:Martynyuk A A*; Martynyuk Chernienko Yu A
来源:Differential Equations, 2013, 49(10): 1252-1260.
DOI:10.1134/S0012266113100066

摘要

For the set of equations of perturbed motion whose solutions satisfy interval initial conditions, we obtain sufficient conditions for the Lyapunov stability and the practical stability of these solutions. The analysis is performed on the basis of locally large scalar Lyapunov functions. As examples, we consider quasilinear and linear nonautonomous systems.

  • 出版日期2013-10

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