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Quadratic Constraints for Local Stability Analysis of Quadratic Systems - MaRDI portal

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Quadratic Constraints for Local Stability Analysis of Quadratic Systems

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Publication:6410080

arXiv2209.03565MaRDI QIDQ6410080

Author name not available (Why is that?)

Publication date: 8 September 2022

Abstract: This paper proposes new quadratic constraints (QCs) to bound a quadratic polynomial. Such QCs can be used in dissipation ineqaulities to analyze the stability and performance of nonlinear systems with quadratic vector fields. The proposed QCs utilize the sign-indefiniteness of certain classes of quadratic polynomials. These new QCs provide a tight bound on the quadratic terms along specific directions. This reduces the conservatism of the QC bounds as compared to the QCs in previous work. Two numerical examples of local stability analysis are provided to demonstrate the effectiveness of the proposed QCs.




Has companion code repository: https://github.com/scliao47/valleyqc_roa








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