On the optimal continuous decentralized control of non-linear dynamical multivariable systems about the origin
ISSN: 0213-8204
Year of publication: 1987
Issue: 2
Pages: 93-110
Type: Article
More publications in: Trabajos de investigación operativa
Abstract
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 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.