Analysis and design of optimization algorithms via integral quadratic constraints

L Lessard, B Recht, A Packard - SIAM Journal on Optimization, 2016 - SIAM
This paper develops a new framework to analyze and design iterative optimization
algorithms built on the notion of integral quadratic constraints (IQCs) from robust control …

Optimal graph-filter design and applications to distributed linear network operators

S Segarra, AG Marques… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
We study the optimal design of graph filters (GFs) to implement arbitrary linear
transformations between graph signals. GFs can be represented by matrix polynomials of …

[KNIHA][B] Convex optimization

SP Boyd, L Vandenberghe - 2004 - books.google.com
Convex optimization problems arise frequently in many different fields. This book provides a
comprehensive introduction to the subject, and shows in detail how such problems can be …

[KNIHA][B] Linear matrix inequalities in system and control theory

The basic topic of this book is solving problems from system and control theory using convex
optimization. We show that a wide variety of problems arising in system and control theory …

Semidefinite programming

L Vandenberghe, S Boyd - SIAM review, 1996 - SIAM
In semidefinite programming, one minimizes a linear function subject to the constraint that
an affine combination of symmetric matrices is positive semidefinite. Such a constraint is …

The LMI control toolbox

P Gahinet, A Nemirovskii, AJ Laub… - Proceedings of 1994 …, 1994 - ieeexplore.ieee.org
The LMI control toolbox Page 1 PKu"gsofths33rd Conferem on Deddon and control Lake
&remvi. FL- December 1894 TP-1 5:20 Tlie LMI Coiitrol Toolbox Puscal Guhiriet t Arkudii …

A linear matrix inequality approach to H control

P Gahinet, P Apkarian - … journal of robust and nonlinear control, 1994 - Wiley Online Library
The continuous‐and discrete‐time H∞ control problems are solved via elementary
manipulations on linear matrix inequalities (LMI). Two interesting new features emerge …

Fast linear iterations for distributed averaging

L **ao, S Boyd - Systems & Control Letters, 2004 - Elsevier
We consider the problem of finding a linear iteration that yields distributed averaging
consensus over a network, ie, that asymptotically computes the average of some initial …

Robust constrained model predictive control using linear matrix inequalities

MV Kothare, V Balakrishnan, M Morari - Automatica, 1996 - Elsevier
The primary disadvantage of current design techniques for model predictive control (MPC) is
their inability to deal explicitly with plant model uncertainty. In this paper, we present a new …

H/sub/spl infin//design with pole placement constraints: an lmi approach

M Chilali, P Gahinet - IEEE Transactions on automatic control, 1996 - ieeexplore.ieee.org
This paper addresses the design of state-or output-feedback H/sub/spl infin//controllers that
satisfy additional constraints on the closed-loop pole location. Sufficient conditions for …