Work

A Note on Controllability of Time Invariant Linear Fractional h-Difference Equations

Year: 2025

Type: article

Abstract: In this paper, we establish and prove two main results: (i) a Kalman-like controllability criterion, and (ii) a rank condition on the controllability matrix, defined via the discrete Mittag–Leffler function, for time-invariant linear fractional-order h-discrete systems. Using some properties of the Mittag–Leffler-type function within the framework of fractional h-discrete calculus, we state and prove the variation of constants formula for an initial value problem. Then we use this formula to prove the equivalence between two notions of controllability: complete controllability and controllability to the origin.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract9120784

Authors: Ferhan M. Atıcı, Jagan Mohan Jonnalagadda, Amber Wu

Institutions: Western Kentucky University, Birla Institute of Technology and Science - Hyderabad Campus, Birla Institute of Technology and Science, Pilani

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,258

OpenAlex ID: W4417056630

FWCI: 3.753

Cites: 15

Cited by: 2

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