Controllability of fractional dynamical systems with distributed delays in control using ψ‐Caputo fractional derivative

A Panneer Selvam, V Govindaraj - Asian Journal of Control, 2023 - Wiley Online Library
This research investigates the controllability of linear and non‐linear fractional dynamical
systems with distributed delays in control using the ψ ψ‐Caputo fractional derivative. For …

Examining reachability criteria for fractional dynamical systems with mixed delays in control utilizing ψ-Hilfer pseudo-fractional derivative

AP Selvam, V Govindaraj, H Ahmad - Chaos, Solitons & Fractals, 2024 - Elsevier
The main objective of the present article is to employ the ψ-Hilfer pseudo-fractional
derivative (HPFD) to examine the reachability criteria for fractional dynamical systems with …

Controllability of nonlinear stochastic neutral impulsive systems

S Karthikeyan, K Balachandran - Nonlinear Analysis: Hybrid Systems, 2009 - Elsevier
The impulsive differential equations provide a natural description of observed evolutionary
processes, which are subject to short term perturbations acting instantaneously in the form of …

Relative controllability of stochastic nonlinear systems with delay in control

L Shen, J Sun - Nonlinear Analysis: Real World Applications, 2012 - Elsevier
The existence of solutions to systems is a natural premise to carry our study about
controllability. Under the basic and readily verified conditions to guarantee the existence of …

[PDF][PDF] Controllability of nonlinear stochastic systems with multiple time-varying delays in control

S Karthikeyan, K Balachandran… - International Journal of …, 2015 - intapi.sciendo.com
This paper is concerned with the problem of controllability of semi-linear stochastic systems
with time varying multiple delays in control in finite dimensional spaces. Sufficient conditions …

Controllability of nonlinear stochastic fractional systems with distributed delays in control

R Mabel Lizzy, K Balachandran… - Journal of control and …, 2017 - Taylor & Francis
In this paper we study the controllability of linear and nonlinear stochastic fractional systems
with bounded operator having distributed delay in control. The necessary and sufficient …

Fractional order stochastic dynamical systems with distributed delayed control and Poisson jumps

T Sathiyaraj, P Balasubramaniam - The European Physical Journal …, 2016 - Springer
In this paper, we study the controllability results for nonlinear fractional order stochastic
dynamical systems with distributed delayed control and Poisson jumps in finite dimensional …

On controllability for a class of stochastic impulsive systems with delays in control

S Karthikeyan, K Balachandran - International Journal of Systems …, 2013 - Taylor & Francis
In this work, we study the controllability of stochastic impulsive systems with distributed
delays in control in finite dimensional spaces. Some sufficient criteria ensuring the relative …

Examining reachability of fractional dynamical systems with delays in control utilizing ψ-Hilfer pseudo-fractional derivative

AP Selvam, V Govindaraj - Physica Scripta, 2024 - iopscience.iop.org
This research focuses on the reachability criteria of fractional dynamical systems with delays
in control of order ϑ∈(0, 1) and type ϱ∈[0, 1] in the context of control theory. The study …

Relative controllability of fractional stochastic dynamical systems with multiple delays in control

T Guendouzi, I Hamada - Malaya Journal of Matematik, 2013 - malayajournal.org
This paper is concerned with the global relative controllability of fractional stochastic
dynamical systems with multiple delays in control for finite dimensional spaces. Sufficient …