In this paper, using high order perturbative series expansion method, the critical exponents of the order parameter and susceptibility in transition from ferromagnetic to disordered phases for 1D quantum Ising model in transverse field, with ferromagnetic nearest neighbor and anti-ferromagnetic next to nearest neighbor interactions, are calculated. It is found that for small value of the frustr...

A utomatic control teaching can be fragmented, comprising different streams that seem to be disconnec t ed or even competing. The appeal of new theories and concepts may encourage students to forget that the key issue in the discipline is the control design problem. If two or more different approaches provide a good solution to that problem, then a strong connection should exist between them. I...

In this paper, the min-time optimal control problem is mainly investigated in the linear time invariant (LTI) continuous-time control system with a constrained input. A high order dynamical LTI system is firstly considered for this purpose. Then the Pontryagin principle and some necessary optimality conditions have been simultaneously used to solve the optimal control problem. These optimality ...