Intrinsic difficulties in using the doubly-infinite time axis for input-output control theory

Intrinsic difficulties in using the doubly-infinite time axis for input-output control theory
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使用双无限时间轴进行输入输出控制理论的内在困难

DOI:
10.1109/9.376072
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发表时间:
1995
期刊:
IEEE Trans. Autom. Control.
影响因子:
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通讯作者:
Malcolm C. Smith
Malcolm C. Smith
中科院分区:
--
文献类型:
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作者:
T. Georgiou;Malcolm C. Smith

文献摘要

被引文献

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指出投入产出控制理论中稳定性和因果性的自然定义导致了投入产出在双无限时间轴上具有支撑性时的某些不一致。具体地说,具有右半平面极点的线性时不变系统不能被认为既是因果的又是可镇定的。相反,当使用半无限时间轴时,就不会有这样的冲突。>
Points out that the natural definitions of stability and causality in input-output control theory lead to certain inconsistencies when inputs and outputs are allowed to have support on the doubly-infinite time-axis. In particular, linear time-invariant systems with right-half plane poles cannot be considered to be both causal and stabilizable. In contrast, there is no such conflict when the semi-infinite time axis is used. >