Stability radii for positive linear time-invariant systems on time scales

We deal with dynamic equations on time scales, where we characterize the positivity of a system. Uniform exponential stability of a system is determined by the spectrum of its matrix. We investigate the corresponding stability radii with respect to structured perturbations and show that, for positiv...

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Bibliographic Details
Published in:Systems & control letters 2010-03, Vol.59 (3), p.173-179
Main Authors: Doan, T.S., Kalauch, A., Siegmund, S., Wirth, F.R.
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system analysis
Control systems
Control theory. Systems
Dynamical systems
Dynamics
Exact sciences and technology
Linear dynamic equation
Mathematical analysis
Perturbation
Positive system
Scale (corrosion)
Stability
Stability radius
Structured perturbation
System theory
Time scale
Uniform exponential stability
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Summary:We deal with dynamic equations on time scales, where we characterize the positivity of a system. Uniform exponential stability of a system is determined by the spectrum of its matrix. We investigate the corresponding stability radii with respect to structured perturbations and show that, for positive systems, the complex and the real stability radius coincide.
ISSN:0167-6911
1872-7956
DOI:10.1016/j.sysconle.2010.01.002