State-space exact linearization and stabilization with feedback control in SODE economic models

摘要

The paper presents a non-conventional control engineering strategy proposed by experimental physicists, employed for controlling Dynamical Systems and basically designed for the control of nonlinear systems (Liqun and Yan Zhu in Appl. Math. Mech. 19:67–73, 1998; Liqun and Yan Zhu in Phys. Lett. A 262:350–354, 1999). After a brief presentation of the strategy—called state space exact linearization method, this is applied to design a nonlinear feedback control law as well as a modified version of this law, to control the Kaldor (Chang and Smyth in Rev. Econ. Stud. 38:37–44, 1971) and the Bonhoeffer-Van Der Pohl (Grassman in Environment, Economics and their Mathematical Models, 1994) nonlinear systems used in macro-economic business cycles.