Our main goal in this paper is to investigate stochastic ternary antiderivatives (STAD). First, we will introduce the random antiderivative operator. Then, by introducing aggregation function using special functions such as Mittag-Leffler (MLF), Wright (WF), H-Fox (HFF), Gauss hypergeometric (GHF), and exponential (EXP-F), select optimal control performing necessary calculations. Next, consider...

where the matrix a(y) = [ak`(y)] is symmetric and positive de­ nite a(y) > ¬ I with ¬ > 0. Its entries belong to L # (Y ) (Y is the cube ]0; 2 o [ N and subscript `#’ means that the space consists of Y -periodic functions). In the sequel, we will make various further length-scale regularity assumptions on the coe ̄ cients ak` which play a central role throughout the paper. Some of them are as fo...

The force regulation and inevitable positional inaccuracy of traditional control system can be compensated by the compliance/stiffness mechanism. The compliance/stiffness of a robotic mechanism is usually modeled by a 6 by 6 symmetric positive definite matrix at an equilibrium point using screw theory. When an external wrench is exerted on the mechanism and the mechanism moves away from its equ...