Stabilizability of linear switching systems

DOI10.1016/j.nahs.2007.11.007zbMath1215.93125OpenAlexW1991906801MaRDI QIDQ534369

Maria Domenica Di Benedetto, Giordano Pola, Elena De Santis

Publication date: 17 May 2011

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

Full work available at URL: https://doi.org/10.1016/j.nahs.2007.11.007

zbMATH Keywords

hybrid systemsstabilizabilityLyapunov functionslinear switching systemsKalman decomposition

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (12)

Linear switched dynamical systems on graphs ⋮ Polytope Lyapunov functions for stable and for stabilizable LSS ⋮ Almost always observable hybrid systems ⋮ Global stabilization of switched control systems with time delay ⋮ Antinorms on cones: duality and applications ⋮ Invariant dual cones for hybrid systems ⋮ Span-reachability and observability of bilinear hybrid systems ⋮ A complexity reduction approach to detectability of switching systems ⋮ A method for stabilizing continuous-time switched linear systems ⋮ A structural approach to detectability for a class of hybrid systems ⋮ Observability of the discrete state for dynamical piecewise hybrid systems ⋮ Design of sliding mode control for a class of uncertain switched systems

Cites Work

• Unnamed Item
• Controllers for reachability specifications for hybrid systems
• Switching in systems and control
• Switched linear systems. Control and design.
• Set invariance in control
• Digital idle speed control of automotive engines: a safety problem for hybrid systems
• The gain scheduling and the robust state feedback stabilization problems
• Stability theory for hybrid dynamical systems
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Dynamical systems which undergo switching
• Smooth stabilization implies coprime factorization
• Computation of Maximal Safe Sets for Switching Systems
• Supervisory control of families of linear set-point controllers - Part I. Exact matching
• Equivalence of switching linear systems by bisimulation
• On converse Lyapunov theorems for ISS and iISS switched nonlinear systems

This page was built for publication: Stabilizability of linear switching systems