Nonlinear Analysis: Hybrid Systems | 2019
Matrix Lyapunov functions method for sets of dynamic equations on time scales
Abstract
Abstract In this paper, for a family of equations on time scales, a generalization of the direct method of Lyapunov is introduced. Efficient sufficient conditions for various stability types of the sets of trajectories are proposed by means of scalar and vector Lyapunov-type functions, constructed on the basis of matrix-valued functions.