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ARC
2010
Springer
105views Hardware» more  ARC 2010»
13 years 4 months ago
Lyapunov functionals and matrices
In the talk we present a survey of the current state of art in the area of quadratic functionals with prescribed time derivatives. The ...rst contribution dedicated to the topic w...
Vladimir L. Kharitonov
CDC
2008
IEEE
236views Control Systems» more  CDC 2008»
13 years 11 months ago
Non-monotonic Lyapunov functions for stability of discrete time nonlinear and switched systems
Abstract— We relax the monotonicity requirement of Lyapunov’s theorem to enlarge the class of functions that can provide certificates of stability. To this end, we propose two...
Amir Ali Ahmadi, Pablo A. Parrilo
CDC
2010
IEEE
12 years 11 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
CDC
2008
IEEE
129views Control Systems» more  CDC 2008»
13 years 6 months ago
Using polynomial semi-separable kernels to construct infinite-dimensional Lyapunov functions
Abstract-- In this paper, we introduce the class of semiseparable kernel functions for use in constructing Lyapunov functions for distributed-parameter systems such as delaydiffere...
Matthew M. Peet, Antonis Papachristodoulou
COMPUTING
2006
130views more  COMPUTING 2006»
13 years 4 months ago
Factorized Solution of Lyapunov Equations Based on Hierarchical Matrix Arithmetic
We investigate the numerical solution of large-scale Lyapunov equations with the sign function method. Replacing the usual matrix inversion, addition, and multiplication by format...
Ulrike Baur, Peter Benner