NOTE OF BEHAVIOR OF A COUPLED NONAUTONOMOUS ORDINARY DIFFERENTIAL EQUATION

  • Hong, Keum-Shik (Dept. of Control & Mechanical Engr., Pusan National Univ.)
  • Published : 1995.10.01

Abstract

Stability of a coupled nonautonomous ordinary differential equation is investigated. Asymptotic convergence to zero of a part of state vector is additionally shown, otherwise only uniform stability could have been concluded by the Lyapunov direct method. Obtained results could be particularly useful in analysis of nonautonomous systems in which the invariance principle does not hold. An illustrating example is given.