We use a lattice Green function approach to study the stationary modes of linear/nonlinear (Kerr) impurity embedded in periodic one-dimensional where we replace standard discrete Laplacian by fractional one. The energies and mode profiles are computed closed form, for different exponents strengths. lie outside linear band whose bandwidth decreases steadily as exponent decreases. For any values,...

One of the most important challenges in nonlinear, multi-input multi-output (MIMO) and time variant systems (e.g., robot manipulator) is designing a controller with acceptable performance. This paper focused on design a new artificial non linear controller with on line tunable gain applied in the robot manipulator. The sliding mode fuzzy controller (SMFC) was designed as 7 rules Mamdani’s infer...

One of the most important challenges in nonlinear, multi-input multi-output (MIMO) and time variant systems (e.g., robot manipulator) is designing a controller with acceptable performance. This paper focused on design a new artificial non linear controller with on line tunable gain applied in the robot manipulator. The sliding mode fuzzy controller (SMFC) was designed as 7 rules Mamdani’s infer...