Time-invariant uncertain systems: a necessary and sufficient condition for stability and instability via homogeneous parameter-dependent quadratic Lyapunov functions
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Publication:983965
DOI10.1016/j.automatica.2009.11.007zbMath1205.93114OpenAlexW2081132246MaRDI QIDQ983965
Publication date: 13 July 2010
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10722/129189
Lyapunov and storage functions (93D30) Linear systems in control theory (93C05) Robust stability (93D09) Control/observation systems governed by ordinary differential equations (93C15)
Related Items (4)
On the determination of the solutions and maximum admissible power of the load flow equation via LMIS ⋮ Uniform exponential stability criteria with verification for nonautonomous switched nonlinear systems with uncertainty ⋮ Stability analysis of linear time-varying systems: improving conditions by adding more information about parameter variation ⋮ LMI conditions for time-varying uncertain systems can be non-conservative
Cites Work
- Unnamed Item
- A recursive algorithm of exactness verification of relaxations for robust SDPs
- Homogeneous polynomial forms for robustness analysis of uncertain systems
- Establishing tightness in robust \(\mathcal H _{\infty}\) analysis via homogeneous parameter-dependent Lyapunov functions
- Establishing stability and instability of matrix hypercubes
- LMI relaxations in robust control
- On the non-conservatism of a novel LMI relaxation for robust analysis of polytopic systems
- New strategy for robust stability analysis of discrete-time uncertain systems
- Characterizing the solution set of polynomial systems in terms of homogeneous forms: an LMI approach
- A Convex Approach to Robust Stability for Linear Systems with Uncertain Scalar Parameters
- Robust Stability of LTI Systems Over Semialgebraic Sets Using Sum-of-Squares Matrix Polynomials
- LMI Tests for Positive Definite Polynomials: Slack Variable Approach
- Robust Performance Analysis of Uncertain LTI Systems: Dual LMI Approach and Verifications for Exactness
- An Asymptotically Exact Approach to Robust Semidefinite Programming Problems with Function Variables
- An improved lmi condition for robust D-stability of uncertain polytopic systems
- Solving quadratic distance problems: an LMI-based approach
- Polynomially parameter-dependent Lyapunov functions for robust stability of polytopic systems: an LMI approach
- New Approach to Robust<tex>$ cal D$</tex>-Stability Analysis of Linear Time-Invariant Systems With Polytope-Bounded Uncertainty
- On the Gap Between Positive Polynomials and SOS of Polynomials
- Parameter-Dependent LMIs in Robust Analysis: Characterization of Homogeneous Polynomially Parameter-Dependent Solutions Via LMI Relaxations
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