An SOS-QE approach to nonlinear gain analysis for polynomial dynamical systems

DOI10.1007/s11786-011-0095-0zbMath1270.93058OpenAlexW2092787989MaRDI QIDQ359900

Hirokazu Anai, Hiroyuki Ichihara

Publication date: 23 August 2013

Published in: Mathematics in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11786-011-0095-0

zbMATH Keywords

quantifier eliminationsum of squaresnonlinear gain analysispolynomial dynamical systems

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Nonlinear systems in control theory (93C10) Dynamical systems in control (37N35) Other applications of logic (03B80)

Uses Software

• QEPCAD
• Sostools
• SYNRAC
• SeDuMi
• SDPT3
• REDLOG
• YALMIP

Cites Work

• On characterizations of the input-to-state stability property
• Solving and visualizing nonlinear parametric constraints in control based on quantifier elimination
• Nonlinear control systems. II
• Robust multi-objective feedback design by quantifier elimination
• Positive polynomials in control.
• On the Implementation and Usage of SDPT3 – A Matlab Software Package for Semidefinite-Quadratic-Linear Programming, Version 4.0
• A NEW METHOD TO ANALYZE ACOUSTO-OPTIC TUNABLE FILTER
• Linear Matrix Inequalities in System and Control Theory
• Characterizing the solution set of polynomial systems in terms of homogeneous forms: an LMI approach
• A separation principle for the control of a class of nonlinear systems
• QEPCAD B
• Vibration control of active structures. An introduction

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