Finite-time annular domain stability and stabilisation of linear positive systems

Abstract

This paper is concerned with the finite-time annular domain stability and stabilisation for the positive systems. A new analysis method is proposed to obtain less conservative finite-time annular domain stability criteria and its superiority to modified Gronwall inequality is analysed. Moreover, conditions for the existence of state feedback and observer-based controllers that guarantee the closed-loop system to be positive and finite-time annular domain stable are given under the linear programming framework. Finally, two numerical examples are provided to show the effectiveness and superiority of the theoretical results.

Keywords:

• Finite-time annular domain stability
• positive systems
• state feedback
• observer-based controller
• linear programming

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work is supported by the National Natural Science Foundation of China (Grant Nos. 61877062 and 61977043), the Natural Science Foundation of Shandong Province (Grant Nos. ZR2020QF051), the Cultivating Foundation of Qilu University of Technology (Grant Nos. 2022PYI010) and the Youth Innovation Science and technology support plan of colleges in Shandong Province (Grant Nos. 2021KJ025)