Asymptotically necessary and sufficient conditions for stability and performance in fuzzy control: applications of Polya's theorem
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Publication:2459518
DOI10.1016/j.fss.2007.06.016zbMath1133.93348OpenAlexW1974392705MaRDI QIDQ2459518
Publication date: 7 November 2007
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.fss.2007.06.016
Fuzzy control/observation systems (93C42) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Adaptive or robust stabilization (93D21)
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Uses Software
Cites Work
- Perspectives of fuzzy systems and control
- New approaches to \(H_{\infty}\) controller designs based on fuzzy observers for T-S fuzzy systems via LMI
- LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form
- An effective version of Pólya's theorem on positive definite forms
- Improvement on observer-based \(H_{\infty}\) control for T--S fuzzy systems
- Fuzzy identification of systems and its applications to modeling and control
- Linear Matrix Inequalities in System and Control Theory
- A Convex Approach to Robust Stability for Linear Systems with Uncertain Scalar Parameters
- Polynomially parameter-dependent Lyapunov functions for robust stability of polytopic systems: an LMI approach
- Relaxations for Robust Linear Matrix Inequality Problems with Verifications for Exactness
- A new bound for Pólya's theorem with applications to polynomials positive on polyhedra.
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