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A new graph parameter related to bounded rank positive semidefinite matrix completions
new graph parameter bounded rank positive semidefinite matrix completions Optimization and Control
2012/4/23
The Gram dimension $\gd(G)$ of a graph $G$ is the smallest integer $k\ge 1$ such that any partial real symmetric matrix, whose entries are specified on the diagonal and at the off-diagonal positions c...
Time-Inconsistent Optimal Control Problems and the Equilibrium HJB Equation
time-inconsistent optimal control problem equilibrium value function equilibrium Hamilton Jacobi-Bellman equation
2012/4/18
A general time-inconsistent optimal control problem is considered for stochastic differential equations with deterministic coefficients. Under suitable conditions, a Hamilton-Jacobi-Bellman type equat...
Empirical Estimators for Stochastically Forced Nonlinear Systems: Observability, Controllability and the Invariant Measure
Empirical Estimators Stochastically Forced Nonlinear Systems Invariant Measure Optimization and Control
2012/4/18
We introduce a data-based approach to estimating key quantities which arise in the study of nonlinear control systems and random nonlinear dynamical systems. Our approach hinges on the observation tha...
Continuous-time distributed convex optimization on directed graphs
Continuous-time convex optimization directed graphs Optimization and Control
2012/4/17
This paper studies the continuous-time distributed optimization of a sum of convex functions over directed graphs. Contrary to what is known in the consensus literature, where the same dynamics works ...
Tree Codes Improve Convergence Rate of Consensus Over Erasure Channels
Tree Codes Convergence Rate of Consensus Erasure Channels Optimization and Control
2012/4/17
We study the problem of achieving average consensus between a group of agents over a network with erasure links. In the context of consensus problems, the unreliability of communication links between ...
Dengue in Cape Verde: vector control and vaccination
dengue Cape Verde vaccine insecticide mechanical control basic reproduction number
2012/4/18
In 2009, for the first time in Cape Verde, an outbreak of dengue was reported and over twenty thousand people were infected. Only a few prophylactic measures were taken. The effects of vector control ...
On the extreme points of moments sets
moment sets measures generalized moments extreme points optimization extremal problems
2012/4/17
Necessary and sufficient conditions for a measure to be an extreme point of the set of measures (on an abstract measurable space) with prescribed generalized moments are given, as well as an applicati...
Packing ellipsoids with overlap
ellipsoid packing, trust-region algorithm, semide nite programming, chromosome territories
2012/4/17
The problem of packing ellipsoids of different sizes and shapes into an ellipsoidal container so as to minimize a measure of overlap between ellipsoids is considered. A bilevel optimization formulatio...
Extension of the $ν$-metric for stabilizable plants over $H^\infty$
ν-metric robust control Hardy algebra
2011/9/23
Abstract: An abstract $\nu$-metric was introduced by Ball and Sasane, with a view towards extending the classical $\nu$-metric of Vinnicombe from the case of rational transfer functions to more genera...
Piecewise linear car-following modeling
Car-following modeling Optimal control Variational formulations
2011/9/23
Abstract: We present a traffic model that extends the linear car-following model as well as the min-plus traffic model (a model based on the min-plus algebra). A discrete-time car-dynamics describing ...
Sequential Convex Programming Methods for Solving Nonlinear Optimization Problems with DC constraints
Sequential convex programming DC constraint relaxation technique nonconvex optimization
2011/9/22
Abstract: This paper investigates the relation between sequential convex programming (SCP) as, e.g., defined in [24] and DC (difference of two convex functions) programming. We first present an SCP al...
Carleman Estimate for Stochastic Parabolic Equations and Inverse Stochastic Parabolic Problems
Stochastic parabolic equations Carleman estimate conditional stability inverse source problem
2011/9/22
Abstract: In this paper, we establish a global Carleman estimate for stochastic parabolic equations. Based on this estimate, we solve two inverse problems for stochastic parabolic equations. One is co...
The use of Grossone in Mathematical Programming and Operations Research
Linear Programming Simplex Method Nonlinear Programming Penalty Methods
2011/9/22
Abstract: The concepts of infinity and infinitesimal in mathematics date back to anciens Greek and have always attracted great attention. Very recently, a new methodology has been proposed by Sergeyev...
Structural Analysis of Laplacian Spectral Properties with Application to Electric Transmission Networks
Laplacian Spectral Properties Electric Transmission Networks Optimization and Control
2011/9/22
Abstract: The spectrum of the Laplacian matrix of a network plays a key role in a wide range of dynamical problems associated with the network, from transient stability analysis of power networks to d...
Lagrange Stabilization of Pendulum-like Systems: A Pseudo H-infinity Control Approach
Pseudo Strict Bounded Real Lemma Pendulum-like systems Lagrange stability
2011/10/10
Abstract: This paper studies the Lagrange stabilization of a class of nonlinear systems whose linear part has a singular system matrix and which have multiple periodic (in state) nonlinearities. Both ...