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Extensions of Gauss quadrature via linear programming
Gauss quadrature Semi-infi nite programming Convex optimization
2015/8/7
Gauss quadrature is a well known method for estimating the integral of a continuous function with respect to a given measure as a weighted sum of the function evaluated at a set of node points. Gauss ...
An Exact Test for Multiple Inequality and Equality Constraints in the Linear Regression Model
Multiple Inequality Equality Constraints
2015/7/31
In this article we consider the linear regression model y = X,B + a,
where e is N(O, a21). In this context we derive exact tests of the form
H: Rft ? r versus K: f E R K for the case in which a2 i...
ON NONLINEAR FUNCTIONS OF LINEAR COMBINATIONS
approximation theory nonlinear high-dimensional nonparametric regression polynomials, Schwartz distributions
2015/7/14
Projection pursuit algorithms approximate a function of p variables by a sum of nonlinear
functions of linear combinations’
POLE EXPANSION FOR SOLVING A TYPE OF PARAMETRIZED LINEAR SYSTEMS IN ELECTRONIC STRUCTURE CALCULATIONS
Pole expansion approximation theory parametrized linear systems electronic structure calculation
2015/7/14
We present a new method for solving parametrized linear systems. Under certain assumptions on the parametrization, solutions to the linear systems for all parameters can be accurately approximated by ...
Linear Functionals of Eigenvalues of Random Matrices
Random unitary matrix the calculation function
2015/7/14
.L.et 1% be a random r~x r~unitary matrix with distribution given
by Haar measure on the unitary group. Using explicit monlerlt calculations,
a general criterion is given for linear cornbinations of...
Modelling non-linear ground response of non-liquefable soils
ground response site amplification soil plasticity soil-structure interaction
2015/7/1
A nonlinear nite element (FE) model is presented to account for soil column e!ects on strong ground motion. A three-dimensional bounding surface plasticity model with a vanishing elastic region, appro...
Solution of the Inverse Problem of Linear Optimal Control with Positiveness Conditions and Relation to Sensitivity
Linear Optimal Control Positiveness Conditions
2015/6/23
The property that the feedback control minimizes some performance index (1.3)
with Q ≥ 0 is of considerable interest because of its connection with the ability
of the control to reduce the sensitivi...
Guaranteed Error Bounds for Model Reduction of Linear Time-Varying Systems
Time-Varying Systems Model Reduction
2015/6/19
New techniques are presented for the model reduction of linear time-varying and linear periodically-varying systems, including the formulation and proof of guaranteed upper bounds for the error. The c...
Error Bounds for Balanced Model Reduction of Linear Time-Varying Systems
Time-Varying Systems Model Reduction
2015/6/19
Error-bounds are developed for balanced truncation of linear time-varying systems, leading to an extension of the `twice the sum of the tail' formulae, well-known in the time-invariant case. The appro...
Dimensional Model Reduction in Non-Linear Finite Element Dynamics of Solids and Structures
Element Dynamics Model Reduction
2015/6/19
A general approach to the dimensional reduction of non-linear finite element models of solid dynamics is presented. For the Newmark implicit time-discretization, the computationally most expensive pha...
A Distributed Algorithm with Linear Convergence for Maximum Lifetime Routing in Wireless Networks
Linear Convergence Lifetime Routing
2015/6/19
A wireless sensor network of nodes with limited energy is considered. The problem of computing a routing flow that maximizes the network lifetime is formulated as a linear program. We consider a conve...
Constructing Lyapunov-Krasovskii Functionals for Linear Time Delay Systems
Linear Time Delay Systems Lyapunov-Krasovskii
2015/6/19
We present an algorithmic methodology for constructing Lyapunov-Krasovskii (L-K) functionals for linear time-delay systems, using the sum of squares decomposition of multivariate polynomials to solve ...
Time-Delayed Decentralized H-Infinity Controller Design for Civil Structures: a Homotopy Method Through Linear Matrix Inequalities
Civil Structures Controller Design
2015/6/19
Traditional structural feedback control systems are centralized systems, whose applications to large scale structures encounter a number of practical difficulties in terms of system reliability, cost,...
We consider the problem of constructing Lyapunov functions for linear differential equations with delays. For such systems it is known that exponential stability implies the existence of a positive Ly...
Optimal Synthesis and Explicit State-Space Solution for a Decentralized Two-Player Linear-Quadratic Regulator
Two-Player Linear-Quadratic State-Space Solution
2015/6/19
In this paper, we develop controller synthesis algorithms for decentralized control problems. The system considered here is an information structure, consisting of two interconnected linear subsystems...