State space modeling of time series
State space modeling of time series
Computer Controlled Systems: Theory and Design
Computer Controlled Systems: Theory and Design
Nonlinear Control Systems
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Under the assumption that the income Yt follows a Samuelson-Hicks type of model, we calculate a policy variable Gt, in closed form, so that Yt satisfies an ideal law Yt = F(Ut*), Ut* being an influence variable. The approach uses some recently developed tools of non-linear feedback design; it is fully parameterized and allows the dynamic change of the influence variable Ut*. From the control theory point of view, we solve a non-linear model matching problem and produce a policy instrument that shapes the income Yt within a desired family of behaviours.