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一类多目标优化问题的有效性
多目标优化 $\eta-$伪线性 有效解 真有效解
2012/8/6
本文研究了一类带不等式约束的多目标优化问题,给出了该类问题的有效解的一些充分必要条件,在适当条件下利用线性标量化方法证明了其有效解和真有效解的等价性。本文的主要结论是对最近一些文献中相应结果的改进与推广。
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 ...
Low Frequency Approximation for a class of Linear Quantum Systems using Cascade Cavity Realization
Quantum Linear Systems Model Reduction Cascade Realization
2011/10/10
Abstract: This paper presents a method for approximating a class of complex transfer function matrices corresponding to physically realizable complex linear quantum systems. The class of linear quantu...
Singular Perturbation Approximations for a Class of Linear Quantum Systems
Singular Perturbation Approximations Linear Quantum Systems Optimization and Control
2011/10/10
Abstract: This paper considers the use of singular perturbation approximations for a class of linear quantum systems arising in the area of linear quantum optics. The paper presents results on the phy...
Cooperative Estimation of 3D Target Motion via Networked Visual Motion Observer
Cooperative estimation Visual-based observer Averaging Passivity Visual sensor network
2011/10/9
Abstract: This paper investigates cooperative estimation of 3D target object motion for visual sensor networks. In particular, we consider the situation where multiple smart vision cameras see a group...
A One-Dimensional Local Tuning Algorithm for Solving GO Problems with Partially Defined Constraints
Global optimization multiextremal constraints geometric algorithms index scheme local tuning
2011/9/21
Abstract: Lipschitz one-dimensional constrained global optimization (GO) problems where both the objective function and constraints can be multiextremal and non-differentiable are considered in this p...
Univariate global optimization with multiextremal non-differentiable constraints without penalty functions
Global optimization multiextremal constraints Lipschitz functions continuous index functions
2011/9/21
Abstract: This paper proposes a new algorithm for solving constrained global optimization problems where both the objective function and constraints are one-dimensional non-differentiable multiextrema...
Accelerated Multiplicative Updates and Hierarchical ALS Algorithms for Nonnegative Matrix Factorization
nonnegative matrix factorization algorithms multiplicative updates hierarchical alternating least squares
2011/9/21
Abstract: Nonnegative matrix factorization (NMF) is a data analysis technique used in a great variety of applications such as text mining, image processing, hyperspectral data analysis, computational ...
Solvability of the $H^\infty$ algebraic Riccati equation in Banach algebras
Riccati equations Banach algebras Systems over rings H1 control Spatially distributed dynamical systems
2011/9/21
Abstract: Let $R$ be a commutative complex unital semisimple Banach algebra with the involution $\cdot ^\star$. Sufficient conditions are given for the existence of a stabilizing solution to the $H^\i...