Abstract
This paper deals with the local (around the equilibrium) optimal decentralized control of autonomous multivariable systems of nonlinear differential equations. The optimal feedback control is defined in terms of performance integrals for each subsystems. Small nonlinearities and couplings between subsystems which can be expressed as power in the state-space are allowed in the formulation. They only affect for the optimal performance integrals in cubic and higher terms in the norm of the initial conditions of the dynamical differential system. The basic hypothesis which is made is that the system is centrally-stabilizable so that the equilibrium point of a nonlinear functional equation supplies a unique stabilizing optimal control via fulfillment of the implicit function theorem for analytic functions.
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