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- W1993637701 abstract "Continuous asymptotically stabilizing feedback controls are constructed for two-dimensional, and certain three-dimensional, small time locally controllable affine systems. The Lie products which determine controllability induce a dilation; it suffices to work with the approximating homogeneous system associated with this dilation. A cost functional is then constructed which is such that the associated Hamilton–Jacobi–Bellman equation is homogeneous, forcing the solution (which is a Lyapunov function for the optimally controlled system) to be homogeneous and thereby determining its basic form. The process may be viewed as a generalization of the linear regulator construction." @default.
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- W1993637701 date "1991-01-01" @default.
- W1993637701 modified "2023-09-26" @default.
- W1993637701 title "Asymptotically Stabilizing Feedback Controls and the Nonlinear Regulator Problem" @default.
- W1993637701 doi "https://doi.org/10.1137/0329010" @default.
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