Resonance and marginal instability of switching systems

DOI10.1016/j.nahs.2015.02.003zbMath1342.37029arXiv1411.0497OpenAlexW2018515222MaRDI QIDQ894302

Raphaël M. Jungers, Vladimir Yu. Protasov

Publication date: 30 November 2015

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.0497

zbMATH Keywords

stabilitypolynomial growthresonancelinear switching systemsdominant productsgeneric sets of matrices

Mathematics Subject Classification ID

Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Stability theory for smooth dynamical systems (37C75) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Stability theory for difference equations (39A30) Hybrid systems of ordinary differential equations (34A38)

Related Items (10)

Growth degree classification for finitely generated semigroups of integer matrices ⋮ Linear switched dynamical systems on graphs ⋮ Marginally unstable discrete-time linear switched systems with highly irregular trajectory growth ⋮ A note on the marginal instability rates of two-dimensional linear cocycles ⋮ A Stability Dichotomy for Discrete-Time Linear Switching Systems in Dimension Two ⋮ Stability of Switched Affine Systems: Arbitrary and Dwell-Time Switching ⋮ An Irreducible Linear Switching System Whose Unique Barabanov Norm Is Not Strictly Convex ⋮ Combinatorial methods for invariance and safety of hybrid systems ⋮ Comprehensive Lyapunov functions for linear switching systems ⋮ Linear switching systems with slow growth of trajectories

Uses Software

• JSR

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