Tighter exponential estimate for positive systems with time delays

This paper presents a new method to find alpha-exponential state estimates, where alpha > 0 is a given decay rate, for a class of positive systems with bounded time-varying delays. Here, our novel idea is to construct a new class of comparison systems, from which we can derive a smaller factor vector for an alpha-exponential estimate on the solution of the considered system, i.e. derive a tighter alpha-exponential state estimate. The effectiveness of the presented method is illustrated through a numerical example.(c) 2022 Elsevier Ltd. All rights reserved.

Automated summary

This paper presents a new method for finding alpha-exponential state estimates for a class of positive systems with bounded time-varying delays. The novel idea is to construct a new class of comparison systems to derive a smaller factor vector, resulting in a tighter alpha-exponential state estimate. The effectiveness of the method is demonstrated through a numerical example.