Stability analysis of data-driven local model networks

DOI10.1080/13873954.2013.821494zbMath1288.93063OpenAlexW1988395235MaRDI QIDQ5418865

Martin Kozek, Stefan Jakubek, Christian Mayr, Christoph Hametner

Publication date: 30 May 2014

Published in: Mathematical and Computer Modelling of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/13873954.2013.821494

zbMATH Keywords

system identificationstability analysisLyapunov methodlocal model networks

Mathematics Subject Classification ID

System identification (93B30) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05)

Uses Software

• SDPT3

Cites Work

• \(H_{\infty}\) filtering of discrete-time fuzzy systems via basis-dependent Lyapunov function approach
• Stability analysis and design of fuzzy control systems
• 4SID: Subspace algorithms for the identification of combined deterministic-stochastic systems
• Analysis and design for a class of complex control systems. II: Fuzzy controller design
• LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form
• Robust \(H_{\infty}\) control for discrete-time fuzzy systems via basis-dependent Lyapunov functions
• Further studies on LMI-based relaxed stabilization conditions for nonlinear systems in Takagi-Sugeno's form
• Analysis and Synthesis of Fuzzy Control Systems
• Input-output parametric models for non-linear systems Part I: deterministic non-linear systems
• Hinging hyperplanes for regression, classification, and function approximation
• Computation of piecewise quadratic Lyapunov functions for hybrid systems
• SDPT3 — A Matlab software package for semidefinite programming, Version 1.3
• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• Quadratic stability analysis and design of continuous-time fuzzy control systems
• Nonquadratic Stabilization Conditions for a Class of Uncertain Nonlinear Discrete Time TS Fuzzy Models: A New Approach
• On Approximate Representation of Type-2 Fuzzy Sets Using Triangulated Irregular Network

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