Advances in Synchronization of Coupled Fractional Order Systems by Rafael Martínez-Guerra & Claudia Alejandra Pérez-Pinacho

Advances in Synchronization of Coupled Fractional Order Systems by Rafael Martínez-Guerra & Claudia Alejandra Pérez-Pinacho

Author:Rafael Martínez-Guerra & Claudia Alejandra Pérez-Pinacho
Language: eng
Format: epub
ISBN: 9783319939469
Publisher: Springer International Publishing


(4.27)

(4.28)

where and is Hurwitz, and both matrices are restricted to

(4.29)

and

(4.30)

with . Second, if we redefine the error as (where is a diagonal matrix that can be found in several high-gain observer schemes) it is easy to see the following the steps in [4], that

where is a constant that depends on both and . That is, is bounded by the constant , where can be as small as desired. The last discussion and developments are summarized in the following proposition.

Proposition 4.2



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