Caputo and related fractional derivatives in singular systems

IK Dassios, DI Baleanu - Applied Mathematics and Computation, 2018 - Elsevier
By using the Caputo (C) fractional derivative and two recently defined alternative versions of
this derivative, the Caputo–Fabrizio (CF) and the Atangana–Baleanu (AB) fractional …

Optimal solutions for singular linear systems of Caputo fractional differential equations

I Dassios, D Baleanu - Mathematical Methods in the Applied …, 2021 - Wiley Online Library
In this article, we focus on a class of singular linear systems of fractional differential
equations with given nonconsistent initial conditions (IC). Because the nonconsistency of the …

Modal participation factors of algebraic variables

G Tzounas, I Dassios, F Milano - IEEE Transactions on Power …, 2019 - ieeexplore.ieee.org
This paper proposes an approach to determine the participation of algebraic variables in
power system modes. The approach is based on a new interpretation of the classical …

Fractional‐order dynamical model for electricity markets

I Dassios, T Kërçi, D Baleanu… - Mathematical Methods in …, 2023 - Wiley Online Library
In this article, we use a generalized system of differential equations of fractional‐order to
incorporate memory into an electricity market model. By using this idea, essential …

[BUCH][B] Eigenvalue Problems in Power Systems

F Milano, I Dassios, M Liu, G Tzounas - 2020 - taylorfrancis.com
The book provides a comprehensive taxonomy of non-symmetrical eigenvalues problems as
applied to power systems. The book bases all formulations on mathematical concept of …

Singular dual systems of fractional‐order differential equations

I Dassios, F Milano - Mathematical Methods in the Applied …, 2024 - Wiley Online Library
We consider both primal and dual formulations of singular autonomous systems of three
different types of fractional‐order differential equations. We present a comprehensive study …

On the relations between a singular system of differential equations and a system with delays

I Dassios - Mathematical Modelling and Numerical Simulation with …, 2022 - dergipark.org.tr
In this article, we consider a class of systems of differential equations with multiple delays.
We define a transform that reformulates the system with delays into a singular linear system …

Optimized hardware accelerators for data mining applications on embedded platforms: Case study principal component analysis

SN Shahrouzi, DG Perera - Microprocessors and Microsystems, 2019 - Elsevier
With the proliferation of mobile, handheld, and embedded devices, many applications such
as data mining applications have found their way into these devices. However, mobile …

[HTML][HTML] Generalized fractional controller for singular systems of differential equations

I Dassios, G Tzounas, F Milano - Journal of Computational and Applied …, 2020 - Elsevier
In this article we consider a class of singular linear systems of first order, and introduce a
generalized fractional order feedback controller of Caputo type. The closed loop system in …

Participation factors for singular systems of differential equations

I Dassios, G Tzounas, F Milano - Circuits, Systems, and Signal Processing, 2020 - Springer
In this article, we provide a method to measure the participation of system eigenvalues in
system states, and vice versa, for a class of singular linear systems of differential equations …