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The fractional linear systems with periodic time varying parameters are considered. The Floquet-Lapunov theory is extended to the fractional linear systems with periodic parameters. Sufficient conditions are established under which the descriptor fractional linear systems can be reduced to standard fractional linear systems. A procedure is given for the reduction of the descriptor systems and illustrated by the simple numerical example.

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Extension of the Floquet-Lyapunov Transformation to Fractional Linear Systems with Periodic Time-Varying Parameters and Descriptor Fractional Systems Reduced to Standard Ones

  • 会议论文

  • 发表日期：

    2026年

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  • Tadeusz Kaczorek

摘要

The fractional linear systems with periodic time varying parameters are considered. The Floquet-Lapunov theory is extended to the fractional linear systems with periodic parameters. Sufficient conditions are established under which the descriptor fractional linear systems can be reduced to standard fractional linear systems. A procedure is given for the reduction of the descriptor systems and illustrated by the simple numerical example.