A Liapunov function for three-dimensional feedback systems
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- by Ji Fa Jiang PDF
- Proc. Amer. Math. Soc. 114 (1992), 1009-1013 Request permission
Abstract:
For a three-dimensional model of a positive feedback loop, Selgrade [11, 12] proved that every positive-time trajectory in the nonnegative orthant converges. Hirsch [6] gave another proof of this result under slightly different assumptions. This paper provides a new proof of Selgrade’s result that is much shorter and presents a generalization that can be applied to positive and negative feedback loops and other systems.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 114 (1992), 1009-1013
- MSC: Primary 93D15; Secondary 34C11
- DOI: https://doi.org/10.1090/S0002-9939-1992-1092922-1
- MathSciNet review: 1092922