Stability in the sense of Lyapunov definitions can be extended straightforwardly to the nonautuonomous case: \(\dot{\textbf{x}}(t)=f(t,\textbf{x}(t))\) , \(\dot{\textbf{x}}(t)=A(t)\textbf{x}(t)\) , \(\textbf{x}(t_0)=\textbf{x}_0\) . This chapter introduces uniform stability notions.

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Uniform Stability

  • SooJean Han

摘要

Stability in the sense of Lyapunov definitions can be extended straightforwardly to the nonautuonomous case: \(\dot{\textbf{x}}(t)=f(t,\textbf{x}(t))\) , \(\dot{\textbf{x}}(t)=A(t)\textbf{x}(t)\) , \(\textbf{x}(t_0)=\textbf{x}_0\) . This chapter introduces uniform stability notions.