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HYBRID
2007
Springer
13 years 11 months ago
Approximation of the Joint Spectral Radius of a Set of Matrices Using Sum of Squares
We provide an asymptotically tight, computationally efficient approximation of the joint spectral radius of a set of matrices using sum of squares (SOS) programming. The approach i...
Pablo A. Parrilo, Ali Jadbabaie
HYBRID
2004
Springer
13 years 10 months ago
Approximations of the Rate of Growth of Switched Linear Systems
The joint spectral radius of a set of matrices is a measure of the maximal asymptotic growth rate that can be obtained by forming long products of matrices taken from the set. This...
Vincent D. Blondel, Yurii Nesterov, Jacques Theys
SIAMMAX
2010
123views more  SIAMMAX 2010»
12 years 11 months ago
Joint Spectral Characteristics of Matrices: A Conic Programming Approach
We propose a new approach to estimate the joint spectral radius and the joint spectral subradius of an arbitrary set of matrices. We first restrict our attention to matrices that ...
Vladimir Protasov, Raphaël M. Jungers, Vincen...
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