부산대학교 도서관

Summary: ``This paper addresses a boundary state feedback control problem for acoupled system oftime fractional partial differential equations (PDEs) with non-constant(space-dependent) coefficientsand different-type boundary conditions (BCs). The BCs could beheterogeneous-type or mixed-type.Specifically, this coupled system has different BCs at the uncontrolled side forheterogeneous-type andthe same BCs at the uncontrolled side for mixed-type. The main contribution isto extend PDE back-stepping to the boundary control problem of time fractional PDEs withspace-dependent parametersand different-type BCs. With the backstepping transformation and the fractionalLyapunov method,the Mittag-Leffler stability of the closed-loop system is obtained. A numericalscheme is proposed tosimulate the fractional case when kernel equations have not an explicitsolution.''\par This paper uses a backstepping approach to study a boundary feedbackcontrol problem for a system of time-fractional diffusion equations. Anumerical scheme to approximate the system is also proposed.