Adaptive Backstepping Boundary Control for a Class of Modified Burgers’ Equation

Autor: Francisco Jurado, Oscar F. Murillo-García

Publikováno v: Fractal and Fractional, Vol 7, Iss 12, p 834 (2023)

Burgers’ equation is used to describe wave phenomena in hydrodynamics and acoustics. It was derived originally as a prototype to provide analytic insight into the nature of turbulence and its modeling, and has found applications in the study of sho

Externí odkaz: https://doaj.org/article/b4ddc7e35fe244e29e2516a41fc292fb

On exact controllability and complete stabilizability for linear systems

Autor: Rabah Rabah

Publikováno v: Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, Vol 94, Pp 4-23 (2021)

In this paper we consider linear systems with control described by the equation $\dot x = \mathcal A x +\mathcal B u$ where functions u and x take values in U and X respectively. For such object, a short review of results concerning relations between

Externí odkaz: https://doaj.org/article/a24eb4d16dc14771a8b594c9ce7e9919

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Non integer order, state space model of heat transfer process using Atangana-Baleanu operator

Autor: K. Oprzędkiewicz

Publikováno v: Bulletin of the Polish Academy of Sciences: Technical Sciences, Vol 68, Iss No. 1, Pp 43-50 (2020)

In the paper a new, state space, non integer order model of an one-dimensional heat transfer process is proposed. The model uses a new operator with Mittag-Leffler kernel, proposed by Atangana and Beleanu. The non integer order spatial derivative is

Externí odkaz: https://doaj.org/article/0e204c6543c34eb2bcf352cce21412bc

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