Browsing by Author "Kinyon, Michael"

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    A Generalization of Moufang and Steiner Loops
    (Springer, 2001-11) Kinyon, Michael; Kunen, Kenneth; Phillips, Jon D.
    We study a variety of loops, RIF, which arise naturally from considering inner mapping groups, and a somewhat larger variety, ARIF. All Steiner and Moufang loops are RIF, and all flexible C-loops are ARIF. All ARIF loops are diassociative.
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    Loops and Semidirect Products
    (Communications in Algebra 28 (2000), no. 9, 4137–4164., 1999-07) Kinyon, Michael; Jones, Oliver
    "In this paper we study semidirect products of loops with groups. This is a generalization of the familiar semidirect product of groups." Discusses extensive information concerning semidirect products and transversal decompositions of various kinds of loops and left loops.
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    Stabilization of Nonholonomic Systems Using Isospectral Flows
    (Society for Industrial and Applied Mathematics, 2006-07) Bloch, Anthony, 1955-; Drakunov, Sergey; Kinyon, Michael
    In this paper we derive and analyze a discontinuous stabilizing feedback for a Lie algebraic generalization of a class of kinematic nonholonomic systems introduced by Brockett. The algorithm involves discrete switching between isospectral and norm-decreasing flows. We include a rigorous analysis of the convergence. Keywords: Nonlinear control, nonholonomic systems, isospectral flows, Lie theory