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Stability radii of infinite-dimensional positive systems (1997)

Fischer, Andreas

Springer

Mathematics of control, signals, and systems 10 (1997), S. 223-236

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ISSN: 1435-568X

Keywords: Infinite-dimensional systems ; Discrete-time systems ; Robust stability ; Stability radii ; Banach lattices ; Positive systems ; Positive operators

Source: Springer Online Journal Archives 1860-2000

Topics: Electrical Engineering, Measurement and Control Technology , Mathematics , Technology

Notes: Abstract We show that for infinite-dimensional discrete-time positive systems the complex and real stability radii coincide. Furthermore, we provide a simple formula for the complex stability radius of positive systems by the associated transfer function. We illustrate our results with an example dealing with a simple type of differential-difference equations.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01211504

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