A class of high-order Runge–Kutta–Chebyshev stability polynomials

Trajectory Planning Using High Order Polynomials under Acceleration Constraint

The trajectory planning, which is known as a movement from starting to end point by satisfying the constraints along the path is an essential part of robot motion planning. A common way to create trajectories is to deal with polynomials which have independent coefficients. This paper presents a trajectory formulation as well as a procedure to arrange the suitable trajectories for applications. ...

Numerical approximation based on the Bernouli polynomials for solving Volterra integro-differential equations of high order

In this ‎article‎‎, ‎an ‎ap‎plied matrix method, which is based on Bernouli Polynomials, has been presented to find approximate solutions of ‎high order ‎Volterra ‎integro-differential‎ equations. Through utilizing this approach, the proposed equations reduce to a system of algebric equations with unknown Bernouli coefficients. A number of numerical ‎illustrations‎ have been ‎solved‎ to ‎assert...

trajectory planning using high order polynomials under acceleration constraint

the trajectory planning, which is known as a movement from starting to end point by satisfying the constraints along the path is an essential part of robot motion planning. a common way to create trajectories is to deal with polynomials which have independent coefficients. this paper presents a trajectory formulation as well as a procedure to arrange the suitable trajectories for applications. ...

Stability Analysis of a Class of Fractional-order Neural Networks

In this paper, the problems of the existence and uniqueness of solutions and stability for a class of fractional-order neural networks are studied by using Banach fixed point principle and analysis technique, respectively. A sufficient condition is given to ensure the existence and uniqueness of solutions and uniform stability of solutions for fractional-order neural networks with variable coef...

A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods