Approximation of the Joint Spectral Radius of a Set of Matrices Using Sum of Squares

DOI10.1007/978-3-540-71493-4_35zbMath1221.65098OpenAlexW1551193082MaRDI QIDQ3612993

Pablo A. Parrilo, Ali Jadbabaie

Publication date: 11 March 2009

Published in: Hybrid Systems: Computation and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-71493-4_35

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical mathematical programming methods (65K05) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05)

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A rapidly-converging lower bound for the joint spectral radius via multiplicative ergodic theory ⋮ An explicit counterexample to the Lagarias-Wang finiteness conjecture ⋮ Approximation of the joint spectral radius using sum of squares ⋮ Consensus in asynchronous multiagent systems. III: Constructive stability and stabilizability

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