搜索结果: 1-15 共查到“函数论 Linear”相关记录24条 . 查询时间(0.099 秒)
Subharmonic functions and performance bounds on linear time-invariant feedback systems
Harmonic function linear the performance of the single output system a linear control system the harmonic function
2015/8/13
In this paper we study multi-input multi-output (MIMO) linear time-invariant (LTI) control systems. We show that some well known constraints on the performance of single-input single-output (SISO) lin...
Quadratic stabilization and control of piecewise-linear systems
Piecewise linear system the controller the lyapunov function the program
2015/8/11
We consider analysis and controller synthesis of piecewise-linear systems. The method is based on constructing quadratic and piecewise-quadratic Lyapunov functions that prove stability and performance...
Analysis of linear systems with saturation using convex optimization
Linear matrix inequality linear system the lyapunov function space area half plan
2015/8/11
We show how linear matrix inequalities (LMI) can be used to perform local stability and performance analysis of linear systems with saturating elements. This leads to conservative information on stabi...
Convex piecewise-linear fitting
Convex optimization Piecewise-linear approximation Data fi tting
2015/8/10
We consider the problem of fitting a convex piecewise-linear function, with some specified form, to given multi-dimensional data. Except for a few special cases, this problem is hard to solve exactly,...
Performance bounds and suboptimal policies for linear stochastic control via LMIs
dynamic programming stochastic control convex optimization
2015/8/7
In a recent paper, the authors showed how to compute performance bounds for infinite horizon stochastic control problems with linear system dynamics and arbitrary constraints, objective, and noise dis...
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 ...
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’
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...
On Kazhdan's Property (T) for the special linear group of holomorphic functions
Kazhdan's Property (T) special linear group holomorphic functions
2012/3/1
We investigate when the group $SL_n(\mathcal{O}(X))$ of holomorphic maps from a Stein space $X$ to $SL_n (\C)$ has Kazhdan's property (T) for $n\ge 3$. This provides a new class of examples of non-loc...
Emergence and Stability of Vortex Clusters in Bose-Einstein Condensates: a Bifurcation Approach near the Linear Limit
Bose-Einstein condensates Vortices Dark solitons Bifurcations
2010/12/28
We study the existence and stability properties of clusters of alternating charge vortices in Bose-Einstein condensates. It is illustrated that such states emerge from cascades of symmetry-breaking bi...
$\ell^2$-Linear Independence for the System of Integer Translates of a Square Integrable Function
Linear Independence Square Integrable Function
2010/11/15
We prove that if the system of integer translates of a square integrable function is $\ell^2$-linear independent then its periodization function is strictly positive almost everywhere. Indeed we show...
Piecewise Linear Hamiltonian Flows Associated to Zero-Sum Games: Transition Combinatorics and Questions on Ergodicity
Piecewise Linear Hamiltonian Flows Zero-Sum Games
2010/11/15
In this paper we consider a class of piecewise affine Hamiltonian vector fields whose orbits are piecewise straight lines. We give a first classification result of such systems and show that the orbit...
Equivalence of concentration inequalities for linear and non-linear functions
concentration of measure large deviations quasiconvexity
2010/12/13
We consider a random variable X that takes values in a (possibly infinite-dimensional) topological vector space X. We show that, with respect to an appropriate “normal distance” on X.
Rate of convergence of linear functions on the unitary group
Rate of convergence linear functions unitary group
2010/11/29
We study the rate of convergence to a normal random variable of the real and imaginary parts of TrANU, where U is an N ×N random unitary matrix and AN is a deterministic complex matrix.
Backward stochastic differential equations under super linear G-expectation and associated Hamilton-Jacobi-Bellman equations
G-Brownian motion super linear expectation normal distribution backward stochastic differential equations
2010/11/30
This paper first studies super linear G-expectation. Uniqueness and existence theorem for backward stochastic differential equations (BSDEs) under super linear expectation is stablished to provide pro...