چكيده به لاتين
Abstract
The chaos theory in economics has brought a valuable insight into how economic systems behave, and also helps economists to understand some of the economic phenomena. An important reason for the interest in chaotic behavior in economic phenomena is that this kind of behavior can potentially describe the fluctuations of financial markets and macroeconomics that appear to be stochastic. Since chaotic behavior in economic systems leads to insecurity in investment, which is undesirable, controlling chaos in economic systems is necessary. For this purpose, for the purpose of modeling and controlling economic research systems done. In Chapter 2, the most important methods of chaotic economics control and the analysis of their mathematical equations and their simulation results are presented. The results of the simulation of these proposed control modes have been studied and the necessary analyzes have been done. In this project, the purpose is the controlling and synchronizing a chaotic four-dimensional economic system is to use a second-order adaptive sliding mode control method. Since this method of control in the event of external disturbances and model uncertainties is a suitable response time, and also does not getting into a chattering phenomenon in the face of increasing bounded disturbances, one of the best methods of controlling this chaotic economic system is considered. Lyapunov's stability method is used to prove the stability of the second-order adaptive sliding mode control. This chapter is confirmed in the fourth chapter with the results of the simulations. Finally, the results have been completely analyzed.
Keywords: Chaotic Economic Systems, Chaos Control, Chaos Control in Economics, Adaptive Sliding Mode Control, Lyapunov’s Stability.
