Title: Chaotic financial system with uncertain parameters - its control and synchronisation

Authors: Babatunde A. Idowu; Olasunkanmi Isaac Olusola; O. Sunday Onma; Sundarapandian Vaidyanathan; Cornelius Olakunle Ogabi; Olujimi A. Adejo

Addresses: Department of Physics, Lagos State University, Ojo, Lagos, Nigeria ' Department of Physics, University of Lagos, Akoka, Lagos, Nigeria ' Nonlinear Dynamics Research Group, Department of Physics, Federal University of Agriculture, P.M.B. 2240, Abeokuta, Nigeria ' R&D Centre, Vel Tech University, Tamil Nadu, India ' Department of Physics, Lagos State University, Ojo, Lagos, Nigeria ' Department of Physics, Lagos State University, Ojo, Lagos, Nigeria

Abstract: This paper examines the control and synchronisation of the chaotic financial system with uncertain parameters as well as known parameters using adaptive control technique. The designed adaptive controller control and globally synchronises two identical chaotic financial systems evolving from different initial conditions. The designed controller is capable of stabilising the financial system at any position as well as controlling it to track any trajectory that is a smooth function of time. Numerical simulations are presented to demonstrate the feasibility of the proposed schemes.

Keywords: chaotic financial system; adaptive control; Lyapunov exponent; uncertain parameters; economics; control; synchronisation; tracking.

DOI: 10.1504/IJNDC.2019.098682

International Journal of Nonlinear Dynamics and Control, 2019 Vol.1 No.3, pp.271 - 286

Received: 13 Jul 2018
Accepted: 12 Oct 2018

Published online: 25 Mar 2019 *

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