On the regional controllability and observability for infinite-dimensional conformable systems

Abstract

This paper focuses on studying regional controllability and observability for fractional linear systems using the conformable derivative of order $0<\alpha\leq1$. Utilizing fractional calculus theory and fractional semigroup theory, we provide the necessary and sufficient conditions for exact and approximate regional controllability and observability of the conformable fractional linear system. Finally, we present some examples to illustrate our theoretical results.