Hierarchical matrix Lyapunov function
Anatoliy A. Martynyuk · Differential and Integral Equations · 1989
For the dynamical system x = f(t,x,P) describing perturbed motion under structural perturbations, a hierarchical matrix Lyapunov function is proposed which corresponds to a definite level of decomposition of the system.A vector Lyapunov function is shown to correspond to the first level of decomposition, a matrix Lyapunov function is naturally introduced on the second level and new constructions of auxiliary functions appear on the other levels.