The Barabanov Norm is Generically Unique, Simple, and Easily Computed

DOI10.1137/21M1426821zbMath1497.93137arXiv2109.12159OpenAlexW3203865593MaRDI QIDQ5096053

Vladimir Yu. Protasov

Publication date: 12 August 2022

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.12159

zbMATH Keywords

trajectoriesoptimal Lyapunov functionBarabanov normasymptotic growthinvariant polytopecontrolled linear systemdiscrete linear switching system

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (4)

Stability of Continuous Time Linear Systems with Bounded Switching Intervals ⋮ Elliptic polytopes and invariant norms of linear operators ⋮ Spectrum Maximizing Products Are Not Generically Unique ⋮ An Irreducible Linear Switching System Whose Unique Barabanov Norm Is Not Strictly Convex

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