Lower bounds and dense discontinuity phenomena for the stabilizability radius of linear switched systems

DOI10.1016/j.sysconle.2020.104737zbMath1451.93269arXiv2002.10369OpenAlexW3034604967MaRDI QIDQ2203461

Paolo Mason, Raphaël M. Jungers, Carl P. Dettmann

Publication date: 7 October 2020

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.10369

zbMATH Keywords

stabilizabilityswitched systemsjoint spectral characteristics

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lower and upper bounds for the largest Lyapunov exponent of matrices
• Necessary and sufficient condition for stabilizability of discrete-time linear switched systems: a set-theory approach
• Variable structure control of complex systems. Analysis and design
• Maximal Lyapunov exponents for random matrix products
• The Lyapunov exponent and joint spectral radius of pairs of matrices are hard - when not impossible - to compute and to approximate
• The boundedness of all products of a pair of matrices is undecidable
• Subdivision schemes in \(L_ p\) spaces
• Stability of discrete linear inclusion
• On the Stabilizability of Discrete-Time Switched Linear Systems: Novel Conditions and Comparisons
• Stability and Stabilization of Continuous‐Time Switched Linear Systems
• Some Convergence Properties of Matrix Sets
• On Feedback Stabilization of Linear Switched Systems via Switching Signal Control
• Stability and stabilization of discrete time switched systems