On the algebraic characterization of invariant sets of switched linear systems
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Publication:976276
DOI10.1016/j.automatica.2010.03.001zbMath1192.93025OpenAlexW2139440252MaRDI QIDQ976276
Jamal Daafouz, Mario Sigalotti, Pierre Riedinger
Publication date: 17 June 2010
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.automatica.2010.03.001
Linear systems in control theory (93C05) Observability (93B07) Algebraic methods (93B25) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)
Related Items (7)
Graphic approach for the determination of the existence of sequences guaranteeing observability of switched linear systems ⋮ Stability of uniformly bounded switched systems and observability ⋮ Characterization and computation of disturbance invariant sets for constrained switched linear systems with dwell time restriction ⋮ Convergence rate of nonlinear switched systems ⋮ Stabilization and \(L_2\)-gain analysis for a class of cascade switched nonlinear systems: an average dwell-time method ⋮ The computation of the viability kernel for switched systems ⋮ Stabilization of hybrid systems under state constraints
Cites Work
- Unnamed Item
- Unnamed Item
- Lyapunov functions that specify necessary and sufficient conditions of absolute stability of nonlinear nonstationary control systems. III
- Uniform stabilization for linear systems with persistency of excitation: the neutrally stable and the double integrator cases
- Invariance principles for switching systems via hybrid systems techniques
- Subanalytic sets and feedback control
- Switching in systems and control
- An invariance principle for nonlinear hybrid and impulsive dynamical systems.
- Nonautonomous systems: Asymptotic behaviour and weak invariance principles.
- Control theory from the geometric viewpoint.
- An invariance principle for nonlinear switched systems
- An extension of LaSalle's invariance principle for switched systems
- Integrals of set-valued functions
- Stabilization with relaxed controls
- Common Polynomial Lyapunov Functions for Linear Switched Systems
- Lyapunov stability theory of nonsmooth systems
- Linear Matrix Inequalities in System and Control Theory
- An Integral Invariance Principle for Differential Inclusions with Applications in Adaptive Control
- Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
- Dynamical systems which undergo switching
- An infinite-time relaxation theorem for differential inclusions
- Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach
- Uniform Stability of Switched Linear Systems: Extensions of LaSalle's Invariance Principle
- Invariance Principles for Hybrid Systems With Connections to Detectability and Asymptotic Stability
- Stability Criteria for Switched and Hybrid Systems
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