based on dynamic modeling, robust trajectory tracking control of attitude and position of a spherical mobile robot is proposed. in this paper, the spherical robot is composed of a spherical shell and three independent rotors which act as the inner driver mechanism. owing to rolling without slipping assumption, the robot is subjected to two nonholonomic constraints. the state space representatio...

The dynamical functional particle method (DFPM) is a method for solving equations by using a damped second order dynamical system. The dynamical system is solved by a symplectic method that is especially tailored for conservative systems. In this work we have extended DFPM to convex optimization problems with constraints. The method is tested on linear eigenvalue problems with normalization and...

We apply the symmetric composition method for the integration of ordinary diierential equations to dynamical neural networks. In this method, we split the vector eld, which is parameterized by a neural network, into the contribution of each of its neurons. We then solve the elementary diierential equation associated to each neuron separately , and recombine these contributions in a sequence of ...

We study some combinatorial and algebraic properties of certain quadratic algebras related with dynamical classical and classical Yang– Baxter equations.