Qualitative Stability of Nonlinear Networked Systems.

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Title: Qualitative Stability of Nonlinear Networked Systems.
Authors: Angulo, Marco Tulio1, Slotine, Jean-Jacques2
Source: IEEE Transactions on Automatic Control. Aug2017, Vol. 62 Issue 8, p4080-4085. 6p.
Subjects: Nonlinear systems, Trajectories (Mechanics), Ecosystems, Linear systems, Stability criterion
Abstract: In many large systems, such as those encountered in biology or economics, the dynamics are nonlinear and are only known very coarsely. It is often the case, however, that the signs (excitation or inhibition) of individual interactions are known. This technical note extends to nonlinear systems the classical criteria of linear sign stability introduced in the 70's, yielding simple sufficient conditions to determine stability using only the sign patterns of the interactions. [ABSTRACT FROM AUTHOR]
Copyright of IEEE Transactions on Automatic Control is the property of IEEE and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Qualitative Stability of Nonlinear Networked Systems.
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  Data: In many large systems, such as those encountered in biology or economics, the dynamics are nonlinear and are only known very coarsely. It is often the case, however, that the signs (excitation or inhibition) of individual interactions are known. This technical note extends to nonlinear systems the classical criteria of linear sign stability introduced in the 70's, yielding simple sufficient conditions to determine stability using only the sign patterns of the interactions. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of IEEE Transactions on Automatic Control is the property of IEEE and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1109/TAC.2016.2617780
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        Text: English
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      – SubjectFull: Nonlinear systems
        Type: general
      – SubjectFull: Trajectories (Mechanics)
        Type: general
      – SubjectFull: Ecosystems
        Type: general
      – SubjectFull: Linear systems
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      – SubjectFull: Stability criterion
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      – TitleFull: Qualitative Stability of Nonlinear Networked Systems.
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              Text: Aug2017
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