Practical stability and asymptotic stability of positive fractional 2D linear systems

By Tadeusz Kaczorek. 2009

79 citations recorded by the source corpus.

A new concept of the practical stability of the positive fractional 2D linear systems is proposed. Necessary and sufficient conditions for the practical stability and the asymptotic stability of the positive fractional 2D systems are established. It is shown that the checking of the practical stability and the asymptotic stability of positive fractional 2D linear systems can be reduced to testing the stability of corresponding 1D positive linear systems. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society

Subfields: Control and Systems Engineering, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/ab80081a5cb6ea17b48ec094c38ae884bffc387f

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In Control and Systems Engineering

In Modeling and Simulation

Citations in the corpus

H∞ Model Reduction for Positive Fractional Order Systems (2014, background): “On the other hand, positive integer order systems have received tremendous attention in the literature [13–19] while positive fractional order systems have been studied recently [20, 21] with applications to fractional linear electrical circuits [22].”
Necessary and sufficient conditions for stability of fractional discrete-time linear state-space systems (2013, methodology): “Simple analytic necessary and sufficient conditions for practical stability and for asymptotic stability of positive fractional discrete-time linear systems are given in [25–27] for 1D systems and in [27, 28] for 2D systems.”