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- W2004100265 abstract "One-shot methods and recently proposed multi-shot methods for computing stabilizing solutions of continuous-time periodic Riccati differential equations are examined and evaluated on two test problems: (i) a stabilization problem for an artificially constructed time-varying linear system for which the exact solution is known; (ii) a nonlinear stabilization problem for a devil stick juggling model along a periodic trajectory. The numerical comparisons are performed using both general purpose and symplectic integration methods for solving the associated Hamiltonian differential systems. In the multi-shot method a stable subspace is determined using recent algorithms for computing a reordered periodic real Schur form. The results show the increased accuracy achievable by combining multi-shot methods with structure preserving (symplectic) integration techniques." @default.
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- W2004100265 date "2007-01-01" @default.
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- W2004100265 title "COMPARING ONE-SHOT AND MULTI-SHOT METHODS FOR SOLVING PERIODIC RICCATI DIFFERENTIAL EQUATIONS1 1Financial support has partially been provided by the Swedish Foundation for Strategic Research under the frame program grant A3 02:128." @default.
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- W2004100265 doi "https://doi.org/10.3182/20070829-3-ru-4912.00028" @default.
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