POLISH ACADEMY of SCIENCES
TECHNICAL SCIENCES
| BULLETIN
of the
POLISH ACADEMY of SCIENCES TECHNICAL SCIENCES |
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| Volume
59, Issue 2, June 2011
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| Aims&Scope, Subscription | Editors | Authors' guide | to read PDF files | mirror: http://fluid.ippt.gov.pl/~bulletin/ |
| pp 195 - 200 |
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Positivity and stability of fractional 2D Lyapunov systems described by the Roesser model |
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| K. ROGOWSKI |
| A new class of fractional 2D Lyapunov systems described by the Roesser models is introduced. Necessary and sufficient conditions for the positivity and asymptotic stability of the new class of systems are established. It is shown that the checking of the asymptotic stability of positive 2D fractional Lyapunov systems can be reduced to testing the asymptotic stability of corresponding positive standard 1D discretetime systems. The considerations are illustrated by a numerical example. |
| Key words: |
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positive system, stability, fractional 2D system, Lyapunov system, Roesser model |
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| Issue Index | Authors Index | Scope Index | Web Info |
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| Aims&Scope, Subscription | Editors | Authors' guide | to read PDF files |
| Copyright ® Bulletin of the Polish Academy of Sciences: Technical Sciences |
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