Stabilization of Positive Linear Discrete-Time Systems by Using a Brauer’s Theorem

الملخص EN

The stabilization problem of positive linear discrete-time systems (PLDS) by linear state feedback is considered.

A method based on a Brauer’s theorem is proposed for solving the problem.

It allows us to modify some eigenvalues of the system without changing the rest of them.

The problem is studied for the single-input single-output (SISO) and for multi-input multioutput (MIMO) cases and sufficient conditions for stability and positivity of the closed-loop system are proved.

The results are illustrated by numerical examples and the proposed method is used in stochastic systems.