Controllability and observability for fractal linear dynamical systems

An insight on the fractal power law flow: from a Hausdorff vector calculus perspective

(2022) Xiao-Jun Yang   FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY

Inter-area and intra-area oscillation damping for UPFC in a multi-machine power system based on tuned fractional PI controllers

(2022) Sunita S. Biswal et al.   International Journal of Dynamics and Control

Controllability of nonlocal Hilfer fractional delay dynamic inclusions with non-instantaneous impulses and non-dense domain

(2022) Assia Boudjerida et al.   International Journal of Dynamics and Control

Existence and Optimal Control Results for Second-Order Semilinear System in Hilbert Spaces

(2021) Anurag Shukla et al.   CIRCUITS SYSTEMS AND SIGNAL PROCESSING

Two core optical fibers coupled nonlinear model in the framework of Hausdorff fractal derivative

(2021) Y. Khan et al.   Results in Physics

On the theory of the fractal scaling-law elasticity

(2021) Xiao-Jun Yang et al.   MECCANICA

Controllability and observability behaviors of a non-homogeneous conformable fractional dynamical system compatible with some electrical applications

(2021) Zeyad Al-Zhour   Alexandria Engineering Journal

Vibration reduction of a non-linear ship model using positive position feedback controllers

(2021) Y. A. Amer et al.   International Journal of Dynamics and Control

Stability analysis of fractional-order linear system with PID controller in the output feedback structure subject to input saturation

(2021) Mohammad Fiuzy et al.   International Journal of Dynamics and Control

Hausdorff fractal system arising in the field of plasma physics via variational technology

(2021) Yasir Khan   CHINESE JOURNAL OF PHYSICS

Power-law stability of Hausdorff derivative nonlinear dynamical systems

(2020) D. L. Hu et al.   INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE

Controllability results for fractional semilinear delay control systems

(2020) Anurag Shukla et al.   Journal of Applied Mathematics and Computing

On the lack of controllability of fractional in time ODE and PDE

(2016) Qi Lü et al.   MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS

Approximate Controllability of Second-Order Semilinear Control System

(2015) Anurag Shukla et al.   CIRCUITS SYSTEMS AND SIGNAL PROCESSING

A new definition of fractional derivative

(2014) R. Khalil et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Anomalous diffusion modeling by fractal and fractional derivatives

(2009) Wen Chen et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS