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Controller Synthesis for Robust Invariance of Polynomial Dynamical Systems using Linear Programming
Controller Synthesis Robust Invariance Polynomial Dynamical Systems Linear Programming
2011/8/30
Abstract: In this paper, we consider a control synthesis problem for a class of polynomial dynamical systems subject to bounded disturbances and with input constraints. More precisely, we aim at synth...
Linear algebra and bootstrap percolation
Bootstrap percolation linear algebra weak saturation
2011/8/29
Abstract: In $\HH$-bootstrap percolation, a set $A \subset [n]$ of initially `infected' vertices spreads by infecting vertices which are the only uninfected vertex in an edge of the hypergraph $\HH \s...
Linear Mappings of Quaternion Algebra
Linear Mappings Quaternion Algebra Rings and Algebras
2011/8/26
Abstract: In the paper I considered linear and antilinear automorphisms of quaternion algebra. I proved the theorem that there is unique expansion of R-linear mapping of quaternion algebra relative to...
Spherical linear waves in de Sitter spacetime
spherical linear waves de Sitter spacetime Analysis of PDEs
2011/9/29
Abstract: With the Einstein-scalar field equations with positive cosmological constant in mind, we employ Christodoulou's framework, developed to study the vanishing cosmological constant case, to sph...
On Measures on Partitions Arising in Harmonic Analysis for Linear and Projective Characters of the Infinite Symmetric Group
Partitions Arising Harmonic Analysis the Infinite Symmetric Group Combinatorics
2011/8/25
Abstract: The z-measures on partitions originated from the problem of harmonic analysis of linear representations of the infinite symmetric group in the works of Kerov, Olshanski and Vershik (1993, 20...
A Gel'fand-type spectral radius formula and stability of linear constrained switching systems
Joint/generalized spectral radius Gel’fand-type spectral-radius formula linear switched system asymptotic stability
2011/8/22
Abstract: Using ergodic theory, in this paper we present a Gel'fand-type spectral radius formula which states that the joint spectral radius is equal to the generalized spectral radius for a matrix mu...
Detecting changes in functional linear models
functional data projections weak dependence change point weak convergence
2011/6/15
We observe two sequences of curve which are connected via an integral operator. Our model includes linear models as well as autoregressive models in Hilbert spaces. We wish to test the null hypothesis...
An O(k2+kh2+h2) Accurate Two-level Implicit Cubic Spline Method for One Space Dimensional Quasi-linear Parabolic Equations
Quasi-Linear Parabolic Equation, Implicit Method, Cubic Spline Approximation, Diffusion-Convection Equation, Singular Equation, Burgers’ Equation, Reynolds Number
2013/1/30
In this piece of work, using three spatial grid points, we discuss a new two-level implicit cubic spline method of O(k2 + kh2 + h4) for the solution of quasi-linear parabolic equation , 0< x <1, t > 0...
Ordinal Discriminant Analysis: A new approach to the construction of optimal linear scores for ordinal risk categories
construction optimal linear scores ordinal risk categories
2011/3/4
Most classification methods provide either a prediction of group membership or an assessment of class membership probability. In the case of two-group classifica-tion the predicted probability can be ...
Algorithms for Highly Symmetric Linear and Integer Programs
Algorithms Highly Symmetric Linear Integer Programs
2011/2/25
This paper deals with exploiting symmetry for solving linear and integer programming problems. Basic properties of linear representations of finite groups can be used to reduce symmetric linear progra...
High order explicit symplectic integrators for the Discrete Non Linear Schrödinger equation
High order explicit symplectic Discrete Non Linear Schrö dinger equation
2011/3/2
We propose a family of reliable symplectic integrators adapted to the Discrete Non–Linear Schr¨odinger equation; based on an idea of Yoshida [12] we can construct high order numerical schemes, that re...
Polytopic Invariant Verification and Synthesis for Polynomial Dynamical Systems via Linear Programming
Polytopic Invariant Verification Synthesis for Polynomial Dynamical Systems Linear Programming
2011/1/18
This paper deals with the veri cation and the synthesis of polytopic invariant sets for
polynomial dynamical systems. An invariant set of a dynamical system is a subset of the state
space such that ...
The Convex Geometry of Linear Inverse Problems
Convex optimization semidefinite programming atomic norms
2011/1/17
In applications throughout science and engineering one is often faced with the challenge of
solving an ill-posed inverse problem, where the number of available measurements is smaller
than the dimen...
Korovkin type theorem and iterates of certain positive linear operators
Iterates of operators degree of approximation K-functionals modulus of smoothness
2011/1/18
In this paper we prove Korovkin type theorem for iterates of general positive linear operators T :C [0, 1] ! C [0, 1] and derive quantitative estimates in terms of modulus of smoothness. In particular...
Towards the Capacity Region of Multiplicative Linear Operator Broadcast Channels
Capacity Region Multiplicative Linear Operator Broadcast Channels
2011/2/28
Recent research indicates that packet multicasting employing random linear network coding can be regarded as transmitting subspaces as codewords over a linear operator channel (LOC).