Extended Luenberger-type observer for a class of semilinear time fractional diffusion systems

Fudong Ge and YangQuan Chen

Chaos, Solitons & Fractals, 2017, vol. 102, issue C, 229-235

Abstract: This paper is concerned with the design of an extended Luenberger-type observer to deal with the observation problem for a class of semilinear time fractional diffusion systems, which are usually used to well describe those sub-diffusion processes, such as water moving through grounds, or proteins diffusing across cell membranes etc. Mittag-Leffler stability for both the linearized and semilinear observer error systems are explored by using a backstepping-based technique. Moreover, a simulation example is provided to confirm the effectiveness of our results.

Keywords: Extended Luenberger-type observer; Mittag-Leffler stability; Semilinear time fractional diffusion systems; Backstepping (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:102:y:2017:i:c:p:229-235

DOI: 10.1016/j.chaos.2017.05.011

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