<p style='text-indent:20px;'>This paper deals with the generalized Clarke epiderivative of extremum multifunction a multi-objective parametric convex discrete optimal control problem linear state equations and constraints. By establishing an abstract result on mathematical programming problem, we derive formula for computing to problem. Examples are given illustrate obtained results.</...

AbstructThis application paper addresses the control of a nonminimum-phase plant with variable large orders and delays. The process concerned is full penetration gas tungsten arc welding. Based on an analysis of accepted adaptive algorithms, the generalized predictive control algorithm presented by Clarke et al. is selected as the principal control strategy. An adaptive generalized predictive d...

In recent years, the optimization of truss structures has been considered due to their several applications and their simple structure and rapid analysis. DNA computing algorithm is a non-gradient-based method derived from numerical modeling of DNA-based computing performance by new computers with DNA memory known as molecular computers. DNA computing algorithm works based on collective intelli...

Abstact-This application paper addresses the control of a nonminimum-phase plant with variable large orders and delays. The process concerned is futl penetration gas tungsten arc weld' ing. Based on an analysis of accepted adaptive algorithms, the generalized predictive control algorithm presented by Clarke' Mohtadi and Tirffs is selected as the principal control strategy. An adaptive generaliz...

Many interesting real functions on Euclidean space are differentiable almost everywhere. All Lipschitz functions have this property, but so, for example, does the spectral abscissa of a matrix (a non-Lipschitz function). In practice, the gradient is often easy to compute. We investigate to what extent we can approximate the Clarke subdifferential of such a function at some point by calculating ...

Cecil Clarke was born in Bristol in 1885, the son 01 Leslie M. Clarke. After an education at the Warn1111 Grammar School he joined the Bristol Medical Schoolclinical appointments were done at the General H?bj There he gained the Henry Marshall Prize, the Clarke / lllkg( Scholarship, and the Martyn Memorial Scholarship 111 caIne and the Sanders Scholarship in 1909. In 1908 he > rSjty qualified, ...

We study the properties of generalized stochastic gradient (GSG) learning in forward-looking models. We examine how the conditions for stability of standard stochastic gradient (SG) learning both differ from and are related to E-stability, which governs stability under least squares learning. SG algorithms are sensitive to units of measurement and we show that there is a transformation of varia...

Generalized gradient approximations (GGA’s) for the exchange-correlation energy improve upon the local spin density (LSD) description of atoms, molecules, and solids. We present a simple derivation of a simple GGA, in which all parameters (other than those in LSD) are fundamental constants. Only general features of the detailed construction underlying the Perdew-Wang 1991 (PW91) GGA are invoked...

We present two new exchange-correlation functionals for hybrid Kohn-Sham electronic structure calculations based on the nonseparable functional form introduced recently in the N12 and MN12-L functionals but now with the addition of screened Hartree-Fock exchange. The first functional depends on the density and the density gradient and is called N12-SX; the second functional depends on the densi...