In this paper we consider the convergence theory for an all-at-once multigrid method for a distributed optimal control problem. Such an analysis has been recently done, see [11]. Here, we give a new proof which is based on a more straight-forward approach. The main benefit of this new approach is the possibility to extend the analysis to domains where full elliptic regularity, i.e., H2-regulari...

We consider affine control systems with the finite L2-gain property in the case the storage function is nondifferentiable. We generalize some classical results concerning the connection of the finite L2-gain property with the stability properties of the unforced system, the characterization of finite L2gain by means of partial differential inequalities of the Hamilton-Jacobi type and the proble...

 This paper investigates on control and stabilization of a new hyperchaotic system. The hyperchaotic system is stabilized using a new technique which called Generalized Backstepping Method (GBM). Because of its similarity to Backstepping approach, this method is called GBM. But, this method is more applicable in comparison with conventional Backstepping.  Backstepping method is used only for sy...

In this work, the compound flow control method (passive and active) has been described. EHD actuators as wire-plate (active) and splitter plate (passive) were coupled and applied to control fluid flow and heat transfer around cylinder in cross flow. Investigation consists of the interaction between electric field, fluid flow and temperature field. Experimental tests included various positions o...

A standard class of finite dimensional control systems is considered, along with a state constraint set S and a target set Σ ⊂ S. Under certain geometric assumptions on S and a required S-constrained small time controllability property, a proximal Hamilton-Jacobi characterization of the S-constrained minimal time function to target Σ is obtained.

This article is devoted to the optimal control of state equations with memory of the form:

A typical left-invariant optimal control problem on the rotation group SO (3) is investigated. The reduced Hamilton equations associated with an extremal curve are derived in a simple and elegant manner. These equations are then explicitly integrated by Jacobi elliptic functions.

multivariate process capability indices (mpci) show how well a manufacturing process can meet specifica-tion limits when quality characteristics enclose a relative correlation. process capability is an important and commonly used metric for assessing and improving the quality of a production process. when quality charac-teristics of a product are correlated then an attractive comes close to mpc...

in this work, ag-cu nanoparticles (with different percentages of copper, 10%, 25%, 50%, 75% cu) were synthesized by wet chemical method. copper(ii) sulfate and silver nitrate were taken as metal precursors, ascorbic acid as reducing agent and anhydride maleic (ma) as a modifier. the prepared nanoparticles were characterized by means of x-ray diffraction (xrd) technique and scanning electron mic...