TY - JOUR
AU - Selvam, A. Panneer
AU - Govindaraj , V.
PY - 2024/04/02
Y2 - 2024/04/15
TI - Analyzing Observability of Fractional Dynamical Systems Employing ψ-Caputo Fractional Derivative
JF - Contemporary Mathematics
JA - Contemp. Math.
VL - 5
IS - 2
SE - Research Article
DO - 10.37256/cm.5220242786
UR - https://ojs.wiserpub.com/index.php/CM/article/view/2786
SP - 1216-1231
AB - <p>In this present article, we inquire into the observability of linear and nonlinear fractional dynamical systems in terms of <em>ψ</em>-Caputo fractional derivative. The observability Grammian matrix, which is positive definite and expressed by the Mittag-Leffler functions, is used to obtain the necessary and sufficient conditions of observability of linear fractional dynamical systems, and Banach’s fixed point theorem is used to get the sufficient conditions for the observability of nonlinear fractional systems. Three numerical examples are given to demonstrate the applicability of theoretical results for linear and nonlinear cases.</p>
ER -