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On some structures of stabilizing control laws for linear and time- invariant systems with bounded point delays and unmeasurable states. (English) Zbl 0799.93048

Summary: The output-feedback stabilization is considered by linear dynamic controllers of (open-loop) stabilizable and detectable time-invariant plants involving a finite set of bounded internal point delays. Two controllers involving, respectively, point and distributed delays are studied as well as their extension to the use of a feedback signal consisting of convolutions of the system output and controller state with an appropriately chosen linearly independent set of functions. It is concluded that an increase in the order of the controller dynamics can be used as an alternative stabilization technique to the use of delays in the controller.

MSC:

93D15 Stabilization of systems by feedback
93C99 Model systems in control theory
93C05 Linear systems in control theory
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References:

[1] APOSTOL T. M., Mathematical Analysis (1980)
[2] BLUM E. K., Numerical Analysis and Computation Theory and Practice (1972) · Zbl 0273.65001
[3] BURTON T. A., Stability and Periodic Solutions of Ordinary and Functional Differential Equations (1985) · Zbl 0635.34001
[4] DOI: 10.1016/0895-7177(88)90077-5 · Zbl 0671.93004
[5] KAILATH T., Linear Systems (1989)
[6] DOI: 10.1080/00207178108922582 · Zbl 0531.93015
[7] MACLANE S., Algébre. Structures fondamentales (1970)
[8] DOI: 10.1016/0167-6911(85)90002-7 · Zbl 0564.93055
[9] DOI: 10.1109/9.24228 · Zbl 0689.93040
[10] DOI: 10.1109/TAC.1978.1101879 · Zbl 0399.93008
[11] ORTEGA J. M., Numerical Analysis (1972) · Zbl 0248.65001
[12] DOI: 10.1137/0326009 · Zbl 0645.93044
[13] XIE X. K., Proceedings of the 24th IEEE Conference on Decision and Control 1 pp 539– (1986)
[14] DOI: 10.1109/TAC.1986.1104136 · Zbl 0596.93017
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