离散系统部分稳定Lyapunov函数与大系统部分稳定性

LYAPUNOV FUNCTIONS FOR PARTIAL STABILITY OF DISCRETE SYSTEMS AND PARTIAL STABILITY OF LARGE-SCALE SYSTEMS

对常系数线性离散系统构造出部分稳定的李雅普诺夫函数，还给出一类变系数线性离散系统和一类非线性非自治离散系统部分稳定的李雅普诺夫函数，并研究子系统为上述各系统时，大系统部分变元的稳定性．

n this paper a Lyapunov function concerning the partial stability of linear discrete systems with constant coefficients is constructed and the Lyapunov functions concerning the partial stability of a kind of linear system with time--varying coefficients and a kind of nonlinear and nonautonomous systems are given. These results are applied to the partial stability of the large--scale systems whose isolated subsystems are those systems mentiond above.