Curvatures of single-input control systems

Bronisław Jakubczyk

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On the optimal continuous decentralized control of non-linear dynamical multivariable systems about the origin.

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This paper deals with the local (around the equilibrium) optimal decentralized control of autonomous multivariable systems of nonlinearities and couplings between subsystems which can be expressed as power series 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...