On the marginal instability of linear switched systems
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Publication:450818
DOI10.1016/j.sysconle.2012.04.005zbMath1250.93112OpenAlexW1966469345MaRDI QIDQ450818
Paolo Mason, Mario Sigalotti, Yacine Chitour
Publication date: 14 September 2012
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.sysconle.2012.04.005
Lyapunov and storage functions (93D30) 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 (14)
Instability of dwell-time constrained switched nonlinear systems ⋮ Linear switched dynamical systems on graphs ⋮ Approximating the spectral abscissa for switched linear systems via coordinate transformations ⋮ Marginally unstable discrete-time linear switched systems with highly irregular trajectory growth ⋮ The Barabanov Norm is Generically Unique, Simple, and Easily Computed ⋮ Resonance and marginal instability of switching systems ⋮ A note on the marginal instability rates of two-dimensional linear cocycles ⋮ Convergence rate of nonlinear switched systems ⋮ A Stability Dichotomy for Discrete-Time Linear Switching Systems in Dimension Two ⋮ On the gap between deterministic and probabilistic Lyapunov exponents for continuous-time linear systems ⋮ Stability of Switched Affine Systems: Arbitrary and Dwell-Time Switching ⋮ Geometric and asymptotic properties associated with linear switched systems ⋮ Comprehensive Lyapunov functions for linear switching systems ⋮ Linear switching systems with slow growth of trajectories
Cites Work
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- Stability analysis of switched systems using variational principles: An introduction
- Lyapunov indicator of discrete inclusions. I
- The generalized spectral radius and extremal norms
- The boundedness of all products of a pair of matrices is undecidable
- Stability of discrete linear inclusion
- Efficient algorithms for deciding the type of growth of products of integer matrices
- Asymptotic behavior of extremal solutions and structure of extremal norms of linear differential inclusions of order three
- Criterion for the absolute stability of second-order nonlinear controlled systems with one nonlinear nonstationary element
- Common Polynomial Lyapunov Functions for Linear Switched Systems
- A note on stability conditions for planar switched systems
- Continuous Dependence with Respect to the Input of Trajectories of Control-Affine Systems
- An Elementary Counterexample to the Finiteness Conjecture
- Stability of Planar Switched Systems: The Linear Single Input Case
- A Note on Marginal Stability of Switched Systems
- Stability Criteria for Switched and Hybrid Systems
- Fractal curves and wavelets
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