Certificates of nonexistence for analyzing stability, stabilizability and detectability of LPV systems
DOI10.1016/J.AUTOMATICA.2024.111841MaRDI QIDQ6632496
Victor Dolk, W. P. M. H. (Maurice) Heemels, Tomas J. Meijer
Publication date: 4 November 2024
Published in: Automatica (Search for Journal in Brave)
linear matrix inequalitiesrobust controlswitched linear systemspolytopic systemscertificate of infeasibilitytheorem of alternatives
Sensitivity (robustness) (93B35) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)
Cites Work
- Title not available (Why is that?)
- Classical converse theorems in Lyapunov's second method
- Stability of discrete-time switching systems with constrained switching sequences
- Comparison between classes of state-quadratic Lyapunov functions for discrete-time linear polytopic and switched systems
- Switching in systems and control
- Piecewise linear control systems. A computational approach
- Piecewise-affine Lyapunov functions for discrete-time linear systems with saturating controls
- A new discrete-time robust stability condition
- On infinity norms as Lyapunov functions for piecewise affine systems
- JSR
- Linear Matrix Inequalities in System and Control Theory
- Computation of piecewise quadratic Lyapunov functions for hybrid systems
- On the Necessity of LMI-Based Design Conditions for Discrete Time LPV Filters
- Observer-Based Control of Discrete-Time LPV Systems With Uncertain Parameters $ $
- Discrete-time ℋ2 and ℋ∞ poly-quadratic filter designs for polytopic LPV systems
- Discrete‐time state‐feedback control of polytopic LPV systems
- Semidefinite programming duality and linear time-invariant systems
- Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties
- A converse Lyapunov theorem for discrete-time systems with disturbances
This page was built for publication: Certificates of nonexistence for analyzing stability, stabilizability and detectability of LPV systems
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6632496)