On strong stabilization of asymptotically time-invariant linear time-varying systems
On strong stabilization of asymptotically time-invariant linear time-varying systems
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DOI：
10.1007/s00498-011-0057-8
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发表时间：
2011-03
期刊：
影响因子：
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通讯作者：
A. Feintuch
中科院分区：
文献类型：
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作者：
A. Feintuch
本文研究了强镇定问题：给定一个线性时变系统，它可被动态反馈镇定，何时可选择镇定器使其自身稳定？我们认为在这里的情况下，代数的离散时间，时变系统是渐近时不变的，在这个意义上说，随着时间的演变，时变传输运营商收敛到一个时不变的传输运营商。这里的收敛是在输入-输出信号的适当希尔伯特空间上的算子序列的一致或强收敛的意义上。
This paper considers the strong stabilization problem: given a linear time-varying system which is stabilizable by dynamic feedback, when can the stabilizer be chosen to be itself stable? We consider here the case of algebras of discrete time, time-varying systems which are asymptotically time-invariant, in the sense that as time evolves the time-varying transfer operator converges to a time-invariant transfer operator. Convergence here is in the sense of uniform or strong convergence of sequences of operators on an appropriate Hilbert space of input–output signals.