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A Robust State Estimation for Fractional-Order Liouvillian Systems: with Application to Secure Communications

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Abstract This article introduces a class of fractional order chaotic system which is capable of hiding bounded messages into the dynamic equation. We propose a definition for reconstructabil-ity for messages… Click to show full abstract

Abstract This article introduces a class of fractional order chaotic system which is capable of hiding bounded messages into the dynamic equation. We propose a definition for reconstructabil-ity for messages hidden in the fractional order differential equation of the oscillator system; such definition is based on the differential algebraic observability for Liouvillian fractional order systems. The methodology serves as a way to retrieve the message employing fractional order differentiators. This approach is applied to secure communications for fractional order chaotic systems.

Keywords: order; fractional order; state estimation; secure communications; robust state

Journal Title: IFAC-PapersOnLine
Year Published: 2018

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