Brian J. Daiuto Tom T. Hartley Stephen P. Chicatelli
This research monograph gives a complete discussion of the theory of the discrete-time hyperbolic map. Both scalar and matrix representations are considered. The dynamics of the map are analyzed and discussions of stability, quasiperiodicity, and chaos are included. Several applications are discusssed, the most important being the discrete-time linear time-invariant quadratic regulator. The results obtained from this analysis are then extended to the continuous-time linear regulator. A discussion of the linear quadratic regulator with negative state weighting provides some important insights...
This research monograph gives a complete discussion of the theory of the discrete-time hyperbolic map. Both scalar and matrix representations are cons...
