Event-triggered Finite-Time Control Design for Positive Systems Based on Linear Programming Approach

This paper addresses the finite-time control design for a class of positive systems based on event-triggered mechanisms via a linear programming(LP) approach. Firstly, a new event-triggering condition in the form of vector 1 norm is proposed for positive systems. Then, sufficient conditions of positivity, finite-time stability and finite-time boundedness are provided for the closed-loop system under the designed LP-based event-triggered finite-time control law by applying the matrix decomposition technology. Finally, an example with comparison is given to illustrate the validity of the results.