Geodesic
Lyapunov functions for fractional order h-difference systems
Filomat, Tome 35 (2021) no. 4, p. 1155

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DOI

This paper presents some new propositions related to the fractional order h-difference operators, for the case of general quadratic forms and for the polynomial type, which allow proving the stability of fractional order h-difference systems, by means of the discrete fractional Lyapunov direct method, using general quadratic Lyapunov functions, and polynomial Lyapunov functions of any positive integer order, respectively. Some examples are given to illustrate these results
DOI : 10.2298/FIL2104155L
Classification : 39A12, 39A70
Keywords: Fractional order h-difference systems, stability, direct method, Lyapunov functions, Euler gamma function 
Xiang Liu; Baoguo Jia; Lynn Erbe; Allan Peterson. Lyapunov functions for fractional order h-difference systems. Filomat, Tome 35 (2021) no. 4, p. 1155 . doi: 10.2298/FIL2104155L
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     author = {Xiang Liu and Baoguo Jia and Lynn Erbe and Allan Peterson},
     title = {Lyapunov functions for fractional order h-difference systems},
     journal = {Filomat},
     pages = {1155 },
     year = {2021},
     volume = {35},
     number = {4},
     doi = {10.2298/FIL2104155L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2104155L/}
}
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