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Eigenvalue Based Approach for Assessment of Global Robustness of Nonlinear Dynamical Systems

Institute of Applied Informatics, Automation and Mechatronics, Slovak University of Technology in Bratislava, Bottova 25, 917 01 Trnava, Slovakia
Symmetry 2019, 11(4), 569; https://doi.org/10.3390/sym11040569
Received: 5 March 2019 / Revised: 13 April 2019 / Accepted: 13 April 2019 / Published: 19 April 2019
(This article belongs to the Special Issue Nonlinear Circuits and Systems in Symmetry)
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Abstract

In this paper we have established the sufficient conditions for asymptotic convergence of all solutions of nonlinear dynamical system (with potentially unknown and unbounded external disturbances) to zero with time t . We showed here that the symmetric part of linear part of nonlinear nominal system, or, to be more precise, its time-dependent eigenvalues, play important role in assessment of the robustness of systems. View Full-Text
Keywords: nonlinear system; perturbation; robustness; variation of constants formula; symmetric part of linear operator nonlinear system; perturbation; robustness; variation of constants formula; symmetric part of linear operator
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Vrabel, R. Eigenvalue Based Approach for Assessment of Global Robustness of Nonlinear Dynamical Systems. Symmetry 2019, 11, 569.

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