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AUTOMATICA
2011
10 years 5 months ago
A hierarchy of LMI inner approximations of the set of stable polynomials
Exploiting spectral properties of symmetric banded Toeplitz matrices, we describe simple sufficient conditions for positivity of a trigonometric polynomial formulated as linear ma...
Mustapha Ait Rami, Didier Henrion
CDC
2010
IEEE
155views Control Systems» more  CDC 2010»
10 years 8 months ago
Relaxing LMI domination matricially
Given linear matrix inequalities (LMIs) L1 and L2 in the same number of variables it is natural to ask: (Q1) does one dominate the other, that is, does L1(X) 0 imply L2(X) 0? (Q2) ...
J. William Helton, Igor Klep, Scott A. McCullough
AUTOMATICA
2002
263views more  AUTOMATICA 2002»
11 years 1 months ago
Analysis of discrete-time piecewise affine and hybrid systems
In this paper we present various algorithms both for stability and performance analysis of discrete-time Piece-Wise Affine (PWA) systems. For stability, different classes of Lyapu...
Giancarlo Ferrari-Trecate, Francesco Alessandro Cu...
AUTOMATICA
2004
128views more  AUTOMATICA 2004»
11 years 1 months ago
A convex optimization approach to the mode acceleration problem
The purpose of this note is to introduce an alternative procedure to the mode acceleration method when the underlying structure model includes damping. We will show that the probl...
S. O. Reza Moheimani, Dunant Halim
MOR
2008
110views more  MOR 2008»
11 years 1 months ago
On the Low Rank Solutions for Linear Matrix Inequalities
In this paper we present a polynomial-time procedure to find a low rank solution for a system of Linear Matrix Inequalities (LMI). The existence of such a low rank solution was sh...
Wenbao Ai, Yongwei Huang, Shuzhong Zhang
AUTOMATICA
2006
137views more  AUTOMATICA 2006»
11 years 1 months ago
A Newton-like method for solving rank constrained linear matrix inequalities
This paper presents a Newton-like algorithm for solving systems of rank constrained linear matrix inequalities. Though local quadratic convergence of the algorithm is not a priori...
Robert Orsi, Uwe Helmke, John B. Moore
APPML
2006
105views more  APPML 2006»
11 years 1 months ago
Stability margins for generalized state space systems
In this work we extend results from the literature on H design with pole placement constraints to the case of generalized state space models, for both continuous-time and discrete...
Djilali Bouagada, Paul Van Dooren
CDC
2008
IEEE
291views Control Systems» more  CDC 2008»
11 years 3 months ago
Structured semidefinite representation of some convex sets
Linear matrix Inequalities (LMIs) have had a major impact on control but formulating a problem as an LMI is an art. Recently there is the beginnings of a theory of which problems ...
J. William Helton, Jiawang Nie
CDC
2009
IEEE
259views Control Systems» more  CDC 2009»
11 years 6 months ago
Comparison of stability characterisations for networked control systems
— This paper presents linear matrix inequalities for stability analysis for networked control systems (NCSs) that incorporates various network phenomena: time-varying sampling in...
Laurentiu Hetel, Marieke B. G. Cloosterman, Nathan...
CDC
2009
IEEE
261views Control Systems» more  CDC 2009»
11 years 6 months ago
Stability and stabilization of a class of ill-conditioned second order differential linear repetitive processes
: This paper considers differential linear repetitive processes which are a distinct class of 2D systems whose dynamics evolve over a subset of the upper right quadrant of the 2D p...
Pawel Grzegorz Dabkowski, Krzysztof Galkowski, Eri...
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