Use qij to denote the (i; j)-entry of the matrix Q (i; j = 1; 2). Then (Q) reads as (Q) = 0(1 + p 05)r 0 2 0(2 0 p 05)r + (1 + p 05) 2r + (1 0 p 05) 0(1 + p 05)r 0 2 (2) where r = (01+ p 05)q 11 0(2+ p 05)q 12 +2q 21 + (01+ p 05)q 22 : (3) Because any stabilizing controller can be obtained from the (2, 1)-and (2, 2)-entries of (2), we are interested in the set of r's of (3), that is, the ideal ...

This paper presents a branch-and-lift algorithm for solving optimal control problems with smooth nonlinear dynamics and potentially nonconvex objective and constraint functionals to guaranteed global optimality. This algorithm features a direct sequential method and builds upon a generic, spatial branch-and-bound algorithm. A new operation, called lifting, is introduced, which refines the contr...

in this letter we have proposed a new regularization scheme to deal with the divergent integralsoccurring in the quantum mechanical problem of calculating the bound state energy of the delta-functionpotential in two and three dimensions. based on the schwinger parameterization technique we argue thatthere are no infinities even in d dimensions. in this way we were able to compare our proposal w...

The simple multi-period repetitive control system proposed by Yamada and Takenaga is a type of servomechanism for a periodic reference input. That is, the simple multi-period repetitive control system follows the periodic reference input with a small steady state error, even if a periodic disturbance or uncertainty exists in the plant. In addition, simple multi-period repetitive control systems...

Differential Evolution (DE), an exceptionally simple and robust evolutionary algorithm with Lagrangian like method, was used for solving optimal control and parameter selection problems of fed-batch fermentation involving general constraints on state variables. These infinite dimensional optimization problems were approximated into the finite dimensional optimization problems by control vector ...

The aim of this paper is to present some recent developments and hints for future researches in control inspired of flatnessbased ideas. We focus on motion planning: Steering a system from one state to another. We do not consider stabilization and trajectory tracking. We explain how explicit trajectory parameterization, a property that is central for flat systems, can be useful for the feed-for...

An overview of the various parametric approaches which can be adopted to solve the problem of adaptive stabilization of nonlinear systems is presented. The Lyapunov design and two estimation designs –equation error filtering and regressor filtering– are revisited. This allows us to unify and generalize most of the available results on the topic and to propose a classification depending on the r...

The simple repetitive control system proposed by Yamada et al. is a type of servomechanism for periodic reference input. Thus, the simple repetitive control system follows a periodic reference input with small steady-state error, even if there is periodic disturbance or uncertainty in the plant. In addition, simple repetitive control systems ensure that transfer functions from the periodic refe...