This paper introduces a new variational formulation for Dirichlet boundary control problem of elliptic partial differential equations, based on observations that the state and adjoint are related through domain, such relation may be imposed in state. Well-posedness (unique solvability stability) is established $H^{1}(\Omega)\times H_{0}^{1}(\Omega)$ space respective A finite element method this...

This paper proposes a intelligent gain and boundary layer based sliding mode control (SMC) method for robotic systems with unknown model uncertainties. For intelligent gain and boundary layer, we employ the self recurrent wavelet neural network (SRWNN) which has the properties such as a simple structure and fast convergence. In our control structure, the SRWNNs are used for estimating the width...

In this paper we present a finite element analysis for Dirichlet boundary control problem governed by the Stokes equation. The is considered in convex closed subset of energy space H1(Ω). Most previous works on deals with either tangential or case where flux zero. This choice very particular and their formulation leads to limited regularity. To overcome difficulty, introduce outflow condition a...

in chemical engineering, several processes are represented by singular boundary value problems. in general, classical numerical methods fail to produce good approximations for the singular boundary value problems. in this paper, chebyshev finite difference (chfd) method and dtm-pad´e method, which is a combination of differential transform method (dtm) and pad´e approximant, are applied for sol...

In this paper, the optimal conditions for fractional optimal control problems (FOCPs) were derived in which the fractional differential operators defined in terms of Caputo sense and reduces this problem to a system of fractional differential equations (FDEs) that is called twopoint boundary value (TPBV) problem. An approximate solution of this problem is constructed by using the Legendre-Gauss...