paper

Time-varying vector norm and lower and upper bounds on the solutions of uniformly asymptotically stable linear systems

arXiv:1911.03714 · doi:10.3390/math8060915

Abstract

Based on the eigenvalue idea and the time-varying weighted vector norm in state space we construct here the lower and upper bounds on the solutions of uniformly asymptotically stable linear systems. We generalize the known results for the linear time-invariant systems to the linear time-varying ones.

14 pages