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

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

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 <inline-formula> <math display="inline"> <semantics> <...

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Bibliographic Details
Main Author: Robert Vrabel
Format: Article
Language:English
Published: MDPI AG 2019-04-01
Series:Symmetry
Subjects:
nonlinear system
perturbation
robustness
variation of constants formula
symmetric part of linear operator
Online Access:https://www.mdpi.com/2073-8994/11/4/569
Description
Summary: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 <inline-formula> <math display="inline"> <semantics> <mrow> <mi>t</mi> <mo>&#8594;</mo> <mo>&#8734;</mo> <mo>.</mo> </mrow> </semantics> </math> </inline-formula> 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.
ISSN:2073-8994

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