State estimation, robust properties and stabilization of positive linear systems with superstability constraints
The paper offers an approach to the analysis and stabilization of positive linear systems based on the use of additional constraints that provide superstability of the system. It is shown that meeting the superstability conditions singles out a specific class of positive linear systems for which we can get an effective state estimation with or without external bounded disturbances
and also expand the understanding of robust properties. Two ways of solving stabilization problem are given. Each of them is reduced to linear programming and can be generalized to the case of bounded control. The paper contains examples demonstrating the peculiarities of dynamics of superstable positive systems and regulator synthesis that provides required behavior of the closed-loop system.
CYBERNETICS AND PHYSICS, Vol. 6, No. 1, 2017 , 32-39