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Optimum Control in Nonlinear Ecological Dynamics of Metropolitan Areas

After an ecological-type formulation of single-city aggregate urban dynamics, the optimum time trajectory of such a system is analyzed. A set of models are discussed which use different objective functions, and it is shown that erratic on-off switches of the urban controls are the optimum strategies under any type of objective function. Solutions for the optimum timing of bang-bang-type application of any specific urban policy instrument would need to be determined numerically.