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Controllability of fractional linear oscillating systems with damping term
  • Nazim Mahmudov
Nazim Mahmudov
Eastern Mediterranean University

Corresponding Author:nazim.mahmudov@emu.edu.tr

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Abstract

This paper proposes novel fractional cosine and sine matrix functions derived from a determining matrix. It introduces a new controllability criterion based on the controllability Gramian for achieving exact controllability in oscillating fractional linear systems with damping term. We present Cayley-Hamilton type theorem for determining matrix. Finally, we prove a novel Kalman type rank criterion for controllability in oscillating fractional linear systems with damping, which is a novel contribution even in systems without damping. Numerical examples are provided to validate these findings.
28 Sep 2024Submitted to Mathematical Methods in the Applied Sciences
30 Sep 2024Submission Checks Completed
30 Sep 2024Assigned to Editor
11 Oct 2024Review(s) Completed, Editorial Evaluation Pending
16 Oct 2024Reviewer(s) Assigned