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AUTOMATICA
2008
167views more  AUTOMATICA 2008»
14 years 9 months ago
Stability and robustness analysis of nonlinear systems via contraction metrics and SOS programming
A wide variety of stability and performance questions about linear dynamical systems can be reformulated as convex optimization problems involving linear matrix inequalities (LMIs...
Erin M. Aylward, Pablo A. Parrilo, Jean-Jacques E....
AUTOMATICA
2002
263views more  AUTOMATICA 2002»
14 years 9 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...
CDC
2010
IEEE
14 years 4 months ago
Stochastic approximation for consensus with general time-varying weight matrices
This paper considers consensus problems with delayed noisy measurements, and stochastic approximation is used to achieve mean square consensus. For stochastic approximation based c...
Minyi Huang
ASC
2007
14 years 9 months ago
An approximate stability analysis of nonlinear systems described by Universal Learning Networks
Stability is one of the most important subjects in control systems. As for the stability of nonlinear dynamical systems, Lyapunov’s direct method and linearized stability analys...
Kotaro Hirasawa, Shingo Mabu, Shinji Eto, Jinglu H...
CDC
2010
IEEE
130views Control Systems» more  CDC 2010»
14 years 4 months ago
Stability analysis of networked control systems: A sum of squares approach
This paper presents a sum of squares (SOS) approach to the stability analysis of networked control systems (NCSs) incorporating time-varying delays and time-varying transmission in...
Nicolas William Bauer, Paul J. H. Maas, W. P. M. H...