GENERALIZED CONTROL-SYSTEMS, BOUNDARY CONTROL-SYSTEMS, AND DELAYED CONTROL-SYSTEMS

被引:28
|
作者
PANDOLFI, L
机构
[1] Dipartimento di Matematica, Politecnico di Torino, Torino, 10129
关键词
Boundary control; Coefficient assignment; Delay systems; Generalized control systems; Stabilization;
D O I
10.1007/BF02551366
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We investigate the relationships between the three classes of systems mentioned in the title: we show that systems with delays in control are a special instance of boundary control systems, and a boundary control system produces a generalized control system when projected onto its (unstable) eigenspaces. We use this observation to investigate the action of feedback on the dynamical behavior of systems with boundary controls. In particular, the well-known fact that spectral controllability is necessary and sufficient for a system with delays in control to be stabilizable is derived from a general rather than from an ad hoc method. © 1990 Springer-Verlag New York Inc.
引用
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页码:165 / 181
页数:17
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