Controllability of fractional damped dynamical systems

K Balachandran, V Govindaraj, M Rivero… - Applied Mathematics and …, 2015 - Elsevier
In this paper, we study the controllability of linear and nonlinear fractional damped
dynamical systems, which involve fractional Caputo derivatives, with different order in finite …

Relative controllability of a stochastic system using fractional delayed sine and cosine matrices

JR Wang, T Sathiyaraj, D O'Regan - Nonlinear Analysis: Modelling …, 2021 - zurnalai.vu.lt
In this paper, we study the relative controllability of a fractional stochastic system with pure
delay in finite dimensional stochastic spaces. A set of sufficient conditions is obtained for …

Controllability of stochastic nonlinear oscillating delay systems driven by the Rosenblatt distribution

T Sathiyaraj, JR Wang, D O'Regan - Proceedings of the Royal …, 2021 - cambridge.org
In this paper, we study the controllability of second-order nonlinear stochastic delay systems
driven by the Rosenblatt distributions in finite dimensional spaces. A set of sufficient …

Controllability and Hyers–Ulam stability of differential systems with pure delay

AM Elshenhab, X Wang - Mathematics, 2022 - mdpi.com
Dynamic systems of linear and nonlinear differential equations with pure delay are
considered in this study. As an application, the representation of solutions of these systems …

New algorithms for computing the matrix sine and cosine separately or simultaneously

AH Al-Mohy, NJ Higham, SD Relton - SIAM Journal on Scientific Computing, 2015 - SIAM
Several existing algorithms for computing the matrix cosine employ polynomial or rational
approximations combined with scaling and use of a double angle formula. Their derivations …

Controllability and Hyers–Ulam stability of fractional systems with pure delay

B Almarri, X Wang, AM Elshenhab - Fractal and Fractional, 2022 - mdpi.com
Linear and nonlinear fractional-delay systems are studied. As an application, we derive the
controllability and Hyers–Ulam stability results using the representation of solutions of these …

Controllability of nonlinear higher order fractional dynamical systems

K Balachandran, V Govindaraj, L Rodriguez-Germa… - Nonlinear …, 2013 - Springer
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A New Framework on Controllability of the Second-order Multi-agent Systems Under Fixed and Switching Topologies

H Long, Y Si - IEEE Transactions on Control of Network …, 2024 - ieeexplore.ieee.org
This paper presents a new framework on controllability of the second-order multi-agent
systems under fixed and switching topologies. With neighbor-based protocol adopted, the …

Numerical controllability of fractional dynamical systems

K Balachandran, V Govindaraj - Optimization, 2014 - Taylor & Francis
In this paper, we provide a computational procedure for controlled state and steering control
for linear and nonlinear fractional dynamical systems of order 1< α≤ 2 in finite-dimensional …

Controllability of fractional stochastic delay systems driven by the Rosenblatt process

B Almarri, AM Elshenhab - Fractal and Fractional, 2022 - mdpi.com
In this work, we consider linear and nonlinear fractional stochastic delay systems driven by
the Rosenblatt process. With the aid of the delayed Mittag-Leffler matrix functions and the …