Stabilization and FLQ-optimal control of conformable positive linear systems

T. Ennouari

The positive stabilization problem for a class of fractional conformable linear systems in which the state takes non-negative values when the initial conditions are non-negative is addressed in this paper. Furthermore, the finite-horizon linear quadratic optimal control problem with non-negative state constraints (FLQ+) is studied for continuous-time positive linear fractional systems. Necessary and sufficient conditions are proven so that the FLQ-optimal control given by the standard fractional linear quadratic problem is also optimal for FLQ+. Then, sufficient conditions are established for the positivity of the FLQ-optimal closed-loop system. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 17(3) (2024), pp. 169-180