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This paper considers optimal full state feedback tracking control of unknown nonlinear systems. To deal with the unknown nonlinearities in the system, small learning regions are assigned online along the system trajectory in a manner dictated by a Lyapunov based self-organization method. In each of these regions, a local affine approximation is developed. A state observer-based approach adapts the...
The boundary element method (BEM) has been successfully applied to 2D and 3D large scale potential problems and efficiently reduce the computing operations and memory requirements. In this paper, by using Laplace Transformation, a new kind of fast BEM for 2D potential problems is presented. Using this method, the logarithm operation can be converted to product operation, the calculation complexity...
In this paper, we redesign the previous iterative row-column soft decision feedback algorithm (Cheng et al., 2007) for a two-dimensional intersymbol interference channel with additive white Gaussian noise; a 2 ?? 2 averaging mask and two 3 ?? 3 masks are considered. In particular, we consider the joint statistics for a block of pixels involved in the exchange of extrinsic information between the detectors;...
In this paper, we consider a kind of boundary value problem of a second order elliptic differential equation of variable coefficient. First, we give the variation inequality which is equal to this boundary value problem, and prove the existence and uniqueness of the solution of the variation inequality of this kind by using Green formula and variation method lemma. Then we can obtain the existence...
The multiple reciprocity method for buckling eigenvalue problem is discussed. Compared with other problems, Laplace operator and biharmonic operator are contained in the control equation of the buckling eigenvalue problem, so we must introduce two series of high-order fundamental solution sequences. Using them we can proceed multiple replacements. Then MRM boundary integral expression and MRM boundary...
Combined with the fast multiple methods, the boundary element method become quite efficient to deal with large-scale engineering and scientific problems. In this paper, by applying fast multiple expansions, the boundary integral equation about the elastic problem is discrete. In boundary integral equality, because solutions contain singular term 1r , which influences the application of fast multiple...
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