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Nonlinear Q-design for convex stochastic control
Nonlinear dynamic controller discrete linear constraint convex function parameters are random
2015/8/7
In this note we describe a version of the Q-design method that can be used to design nonlinear dynamic controllers for a discrete-time linear time-varying plant, with convex cost and constraint functi...
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’
MULTIPLE MIXED STATES OF NODAL SOLUTIONS FOR NONLINEAR SCHR ODINGER SYSTEMS
MULTIPLE MIXED STATES NONLINEAR SCHR ODINGER SYSTEMS
2014/9/26
In this paper we develop a general critical point theory to deal with existence
and locations of multiple critical points produced by minimax methods in relation to mul-tiple invariant sets of the as...
Positive solutions for singularly perturbed nonlinear elliptic problem on manifolds via Morse theory
singular perturbation nondegenerate critical points Morse theory
2011/2/28
Given (M, g0) we consider the problem −"2g0+hu + u = (u+)p−1 with (", h) ∈ (0, ¯") × B. Here B is a ball centered at 0 with radius in the Banach space of all Ck symmetric covaria...
Eigenfunctions and Very Singular Similarity Solutions of Odd-Order Nonlinear Dispersion PDEs
Eigenfunctions Very Singular Similarity Solutions Odd-Order Nonlinear Dispersion PDEs
2010/11/11
Asymptotic properties of solutions of odd-order nonlinear dispersion equations are studied. The global in time similarity solutions, which lead to eigenfunctions of the rescaled ODEs, are constructed....
Jacob's ladders, Bessel's functions and the asymptotic solutions of a new class of nonlinear integral equations
Jacob's ladders Bessel's functions the asymptotic solutions
2010/11/19
It is shown in this paper that there is a connection between the Riemann zeta-function $\zf$ and the Bessel's functions. In this direction, a new class of the nonlinear integral equations is introduce...
Optimising a nonlinear utility function in multi-objective integer programming
nonlinear utility function multi-objective integer programming
2010/11/15
In this paper we develop an algorithm to optimise a nonlinear utility function of multiple objectives over the integer nondominated set. Our approach is based on identifying and updating bounds on th...
On the Stability and the Approximation of Branching Distribution Flows, with Applications to Nonlinear Multiple Target Filtering
Measure-valued equations nonlinear multi-target filtering Bernoulli filter
2010/12/3
We analyse the exponential stability properties of a class of measure-valued equations arising in nonlinear multi-target filtering problems. We also prove the uniform convergence properties w.r.t. the...
Gradient estimates for a simple nonlinear heat equation on manifolds
nonlinear heat equation gradient estimate
2010/11/29
In this paper, we study the gradient estimate for positive solutions to the following nonlinear heat equation problem ut − u = au log u + V u, u > 0 on the compact Riemannian manifold (M, g) of...
A mapping function approach applied to some classes of nonlinear equations
mapping function nonlinear equations
2010/4/2
In this work, we study some models of scalar fields in 1+1 dimensions with non-linear self-interactions. Here, we show how it is possible to extend the solutions recently reported in the literature fo...
Solitons in combined linear and nonlinear lattice potentials
Solitons nonlinear lattice potentials combined linear
2010/4/1
We study ordinary solitons and gap solitons (GSs) in the effectively one-dimensional Gross-Pitaevskii equation, with a combination of linear and nonlinear lattice potentials. The main points of the an...
Dykstra’s Algorithm as the Nonlinear Extension of Bregman's Optimization Method
Bregman projection convex programming Dykstra's algorithm
2009/1/22
We show that Dykstra's algorithm with Bregman projections, which finds the Bregman projection of a point onto the nonempty intersection of finitely many closed convex sets, is actually the nonlinear e...
Existence of a Continuous Solution of Parametric Nonlinear Equation with Constraints
Continuous Solution Parametric Nonlinear Equation Constraints
2009/1/16
Combining a consequence of the Michael continuous selection theorem and an iterative scheme we prove the existence of a continuous solution of a parametric equation with constraints. An inverse functi...
Homographic Approximation for Some Nonlinear Parabolic Unilateral Problems
Homographic Nonlinear Parabolic Unilateral Problems
2009/1/15
We deal with nonlinear parabolic unilateral problems by means of the homographic approximation, introduced by C. M. Brauner and B. Nicolaenko [in: "Nonlinear Partial Diff. Equations and Their Applicat...
Summability of the Solutions to Nonlinear Parabolic Equations with Measure Data
summability nonlinear parabolic equations measure data
2009/1/13
In this paper, we give an improvement of the summability of solutions to nonlinear parabolic equations with measure data.