Diagonally invariant exponential stability and stabilizability of switching linear systems

DOI10.1016/j.matcom.2011.07.011zbMath1246.93097OpenAlexW2018146506MaRDI QIDQ449654

Mihaela-Hanako Matcovschi, Octavian Pastravanu

Publication date: 31 August 2012

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2011.07.011

zbMATH Keywords

invariant setsswitching linear systems(diagonally invariant) exponential stability and stabilizabilitystate-feedback design

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic stability in control theory (93D20) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (3)

Stochastic stability of switching linear systems with application to an automotive powertrain model ⋮ Further results on diagonally invariant exponential stability of switching linear systems ⋮ Full state constraints-based adaptive control for switched nonlinear pure-feedback systems

Uses Software

• Matlab
• MPT

Cites Work

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• Stability theory of switched dynamical systems
• Generalized matrix diagonal stability and linear dynamical systems
• On stabilization of switched linear systems
• Switching in systems and control
• Set invariance in control
• Componentwise stability of 1D and 2D linear discrete-time systems
• Stabilizability of switched linear systems does not imply the existence of convex Lyapunov functions
• Componentwise asymptotic stability of linear constant dynamical systems
• Stability and D-stability for Switched Positive Systems
• Linear Matrix Inequalities in System and Control Theory
• Dynamic Output Feedback Control of Switched Linear Systems
• Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results
• Hybrid Systems: Computation and Control
• Set-theoretic methods in control

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