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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：First-order methods for convex optimization and monotone inclusions under local Lipschitz conditions
局部利普希茨条件 凸优化 单调夹杂物 一阶方法
2023/5/6
In this talk, we first consider convex optimization whose smooth components have a locally Lipschitz continuous gradient and propose a first-order method for finding an epsilon-KKT solution. We then c...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Distributed Event-Triggered Algorithm for Convex Optimization with Coupled Constraints
耦合约束凸优化 分布式事件 触发算法
2023/5/17
This talk concerns the nonsmooth distributed optimization problem via multi-agent network with the coupled equality and inequality constraints. The considered global optimization problem is to minimiz...
BROADBAND SENSOR LOCATION SELECTION USING CONVEX OPTIMIZATION IN VERY LARGE SCALE ARRAYS
array processing multi-frequency beam pattern design sensor location selection very large scale arrays convex optimization simulated annealing
2015/9/29
Consider a sensing system using a large number of N microphones placed in multiple dimensions to monitor a broadband acoustic field. Using all the microphones at once is impractical because of the amo...
Linear controller design: Limits of performance via convex optimization
Linear controller design convex optimization linear control system the convex optimization algorithm the controller the transfer matrix
2015/8/12
In this tutorial, an approach to the analysis and design of linear control systems based on numerical convex optimization over closed-loop maps is presented. Convexity makes numerical solution effecti...
Design of stablizing state feedback for delay systems via convex optimization
A linear system functional convex optimization techniques
2015/8/12
For linear systems with delays, we define a new class of Lyapunov-like functionals that may be used to prove stability. We also show how we may design a stabilizing (delayed) state feedback for delay ...
CRCD program: convex optimization for engineering analysis and design
Convex optimization engineering analysis the numerical values
2015/8/11
The focus of this NSF-supported combined research and curriculum development (CRCD) project is convex optimization applied to engineering analysis and design. The basic idea is that many analysis and ...
Antenna array pattern synthesis via convex optimization
Antenna array model numerical geometric shape elements value
2015/8/11
We show that a variety of antenna array pattern synthesis problems can be expressed as convex optimization problems, which can be (numerically) solved with great efficiency by recently developed inter...
Robust solutions to l1, l2, and l_infinity uncertain linear approximation problems using convex optimization
Linear random and uncertain data convex optimization
2015/8/11
We present minimax and stochastic formulations of some linear approximation problems with uncertain data in R^n equipped with the Euclidean (l2), Absolute-sum (l1) or Chebyshev (l-infinity) norms. We ...
FIR filter design via spectral factorization and convex optimization
Finite impulse response filter filter coefficient variables spectral decomposition linear and nonlinear convex programming
2015/8/11
We consider the design of finite impulse response (FIR) filters subject to upper and lower bounds on the frequency response magnitude. The associated optimization problems, with the filter coefficient...
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 optimization of output link scheduling and active queue management in QoS constrained packet switches
Algorithm switches generalized geometric programming convex optimization
2015/8/11
We present two novel algorithms at the ingress and egress of packet switches with QoS provisioning and fairness constraints. We first provide a suite of generalized weighted fair queuing formulations ...
Piecewise-affine state feedback for piecewise-affine slab systems using convex optimization
Piecewise-affine systems State feedback Convex optimization Ellipsoids Lyapunov function
2015/8/10
This paper shows that Lyapunov-based state feedback controller synthesis for piecewise-affine (PWA) slab systems can be cast as an optimization problem subject to a set of linear matrix inequalities (...
Convex optimization of graph Laplacian eigenvalues
Graph theory Laplacian matrix Convex optimization Semidefinite pro-gramming Markov chain Distributed averaging Effective resistance
2015/8/10
We consider the problem of choosing the edge weights of an undirected graph so as to maximize or minimize some function of the eigenvalues of the associated Laplacian matrix, subject to some constrain...
Upper bounds on algebraic connectivity via convex optimization
Laplace operator matrix algebra connection Laplacian invariant subset matrix convex function
2015/8/10
The second smallest eigenvalue of the Laplacian matrix L of a graph is called its algebraic connectivity. We describe a method for obtaining an upper bound on the algebraic connectivity of a family of...
Learning the kernel via convex optimization
Convex optimization kernel methods machine learning support vector machine
2015/8/10
The performance of a kernel-based learning algorithm depends very much on the choice of the kernel. Recently, much attention has been paid to the problem of learning the kernel itself from given train...