BULLETIN of the

POLISH ACADEMY of SCIENCES

TECHNICAL SCIENCES

BULLETIN of the POLISH ACADEMY of SCIENCES: TECHNICAL SCIENCES
Volume 60, Issue 1, March 2012

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pp 171 - 178

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Generalized feedback stability for periodic linear time-varying, discrete-time systems

P. ORLOWSKI
The paper proposes a novel method for feedback stability evaluation for linear time-varying, discrete-time control systems. It is assumed that the time-varying system can be described by the general discrete-time, time-varying state space model and by the equivalent linear input-output (transfer) operator. The method extends feedback stability concepts for systems given in a general linear time-varying, discrete-time form, not only in the Lurie form. In the paper selected short-time stability concepts are employed for inference about feedback stability of systems defined on an infinite time-horizon. Theoretical considerations are complemented by numerical examples.
Key words:

discrete-time systems, time-varying systems, non-stationary systems, feedback stability, frequency analysis


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