Well-posedness, stabilizability, and admissibility for Pritchard-Salamon systems

Ruth F. Curtain; Hartmut Logemann; Stuart Townley; Hans Zwart

Well-posedness, stabilizability, and admissibility for Pritchard-Salamon systems

Ruth F. Curtain, Hartmut Logemann, Stuart Townley, Hans Zwart

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23 Citations (Scopus)

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Abstract

The object of this paper is to further develop the theory of Pritchard-Salamon systems, which are abstract infinite-dimensional systems allowing for a certain unboundedness of the control and observation operators. New results are derived on the transfer function and the impulse response of a Pritchard-Salamon system, on the well-posedness of feedback systems, on the invariance properties of the Pritchard-Salamon class under feedback and output injection, on the relation between bounded and admissible stabilizability and on the relationship between exponential and external stability.

Original language	English
Number of pages	38
Journal	Journal of mathematical systems, estimation and control
Volume	4
Issue number	4
Publication status	Published - 1994

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https://scholar.lib.vt.edu/ejournals/JMSEC/v4n4/

23 Citations
1 Article

Well-posedness, stabilizability and admissibility for Pritchard Salamon systems
Curtain, R. F., Logemann, H., Townley, S. & Zwart, H. J., 1992, In: Toegepaste wetenschap. 8, 39 p.
Research output: Contribution to journal › Article › Professional

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title = "Well-posedness, stabilizability, and admissibility for Pritchard-Salamon systems",

abstract = "The object of this paper is to further develop the theory of Pritchard-Salamon systems, which are abstract infinite-dimensional systems allowing for a certain unboundedness of the control and observation operators. New results are derived on the transfer function and the impulse response of a Pritchard-Salamon system, on the well-posedness of feedback systems, on the invariance properties of the Pritchard-Salamon class under feedback and output injection, on the relation between bounded and admissible stabilizability and on the relationship between exponential and external stability.",

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AU - Curtain, Ruth F.

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AU - Townley, Stuart

AU - Zwart, Hans

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N2 - The object of this paper is to further develop the theory of Pritchard-Salamon systems, which are abstract infinite-dimensional systems allowing for a certain unboundedness of the control and observation operators. New results are derived on the transfer function and the impulse response of a Pritchard-Salamon system, on the well-posedness of feedback systems, on the invariance properties of the Pritchard-Salamon class under feedback and output injection, on the relation between bounded and admissible stabilizability and on the relationship between exponential and external stability.

AB - The object of this paper is to further develop the theory of Pritchard-Salamon systems, which are abstract infinite-dimensional systems allowing for a certain unboundedness of the control and observation operators. New results are derived on the transfer function and the impulse response of a Pritchard-Salamon system, on the well-posedness of feedback systems, on the invariance properties of the Pritchard-Salamon class under feedback and output injection, on the relation between bounded and admissible stabilizability and on the relationship between exponential and external stability.

M3 - Article

SN - 1052-0600

VL - 4

JO - Journal of mathematical systems, estimation and control

JF - Journal of mathematical systems, estimation and control

IS - 4

ER -

Well-posedness, stabilizability, and admissibility for Pritchard-Salamon systems

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Well-posedness, stabilizability and admissibility for Pritchard Salamon systems

Cite this