In this paper, we establish the equivalence between the half-space representation and the vertex representation of a smooth parametric semiclosed polyhedron. By virtue of the smooth representation result, we prove that the solution set of a smooth parametric piecewise linear program can be locally represented as a finite union of parametric semiclosed polyhedra generated by finite smooth functi...

Linear Model Predictive Control (MPC) has been effectively applied for many process systems. However, linear MPC is often inappropriate for controlling nonlinear largescale systems. To overcome this, model reduction methodology has been exploited to enable the efficient application of linear MPC for nonlinear distributed-parameter systems. An implementation of the proper orthogonal decompositio...

We investigate a transportation problem with discontinuous piecewise linear cost function in this paper. The basic feasible solution for the transportation problem, in which flow bounds on edges are uncertain, is obtained by disaggregating piecewise linear cost function. A genetic algorithm is proposed to solve the transportation problem based on the network representation of the basic feasible...

In this paper we propose hinging hyperplanes (HHs) as a flexible nonparametric representation of concave or an S-shaped production function. We derive the HHs using expressions with focus on distinction between hinge location and bending along each hinge. argue that approximation can be estimated fixed endogenous determined partitioning input space. Assuming homothetic function allows us to sep...

Figure 1: Comparison of CMA and CPL blind equalizer performance (nonlinear channel) Figure 2: Comparison of CMA and CPL blind equalizer performance (linear channel) Abstract Canonical piecewise linear structures provide a desirable compromise between the approximation ability of nonlinear models and the eeciency and theoretical accessibility of the linear domain, and they reduce the parameter s...

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In recent years, the growing total cost of ownership has resulted in a shift away from the distributed model of desktop computing toward a more centralized server-based computing (SBC) model. In SBC, all application logic is executed on the server while clients simply process the resulting screen updates sent from the server. To provide good performance, SBC systems employ various techniques to...