Stability Analysis for a Class of Fractional Discrete-Time Linear Scalar Systems with Multiple Delays in State

Ruszewski, Andrzej

doi:10.1007/978-3-030-17344-9_15

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2019

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“…Recently, the sufficient condition for asymptotic stability of this system with one delay has been established in [19]. In the case of scalar systems, the stability conditions for systems with pure delay and multiple delays have been presented in [20,21], respectively.…”

Section: Introductionmentioning

confidence: 99%

Bulletin of the Polish Academy of Sciences: Technical Sciences

Ruszewski

2019

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The practical and asymptotic stabilities of delayed fractional discrete-time linear systems described by the model without a time shift in the difference are addressed. The D-decomposition approach is used for stability analysis. New necessary and sufficient stability conditions are established. The conditions in terms of the location of eigenvalues of the system matrix in the complex plane are given.

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Section: Introductionmentioning

confidence: 99%

Bulletin of the Polish Academy of Sciences: Technical Sciences

Ruszewski

2019

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Stability Analysis for a Class of Fractional Discrete-Time Linear Scalar Systems with Multiple Delays in State

Cited by 1 publication

References 15 publications

Bulletin of the Polish Academy of Sciences: Technical Sciences

Bulletin of the Polish Academy of Sciences: Technical Sciences

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