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Analysis and design of optimization algorithms via integral quadratic constraints
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 …
algorithms built on the notion of integral quadratic constraints (IQCs) from robust control …
Optimal graph-filter design and applications to distributed linear network operators
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 …
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 …
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 …
optimization. We show that a wide variety of problems arising in system and control theory …
Semidefinite programming
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 …
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 …
&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 …
manipulations on linear matrix inequalities (LMI). Two interesting new features emerge …
Fast linear iterations for distributed averaging
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 …
consensus over a network, ie, that asymptotically computes the average of some initial …
Robust constrained model predictive control using linear matrix inequalities
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 …
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 …
satisfy additional constraints on the closed-loop pole location. Sufficient conditions for …