For the averaging approximating systems Sigma /sup N/ of the controlled linear retarded oscillator in the state space R/sup 2/*L/sup 2/, minimal realizations are constructed that can be interpreted as averaging approximations of another delay control system, again in a state space with structure R/sup 2/*L/sup 2/. A state transformation from Sigma /sup N/ to its minimized realizations is derived, which allows the application of the latter to approximating optimal control problems posed subject to Sigma /sup N/, making it possible to economize on time and storage without loss of accuracy.
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机译:对于近似系统Sigma / sup n /的受控线性延迟振荡器在状态空间中R / sup 2 / * l / sup 2 /,构造最小的实现,其可以被解释为另一个延迟控制系统的平均近似值 在具有结构R / SUP 2 / L / SUP 2 /的状态空间中/。 导出从Sigma / Sup N /到其最小的实现的状态转换,这允许应用后者以近似对Sigma / Sup N /构成的最佳控制问题,使得可以在不损失准确度的情况下节省时间和存储 。
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