Question of global asymptotic stability in state-varying nonlinear systems
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- by Mau-Hsiang Shih and Jinn Wen Wu PDF
- Proc. Amer. Math. Soc. 122 (1994), 801-804 Request permission
Abstract:
A problem raised by LaSalle (i.e., a discrete counterpart of the Jacobian problem in differential equations) concerning the global asymptotic stability in state-varying nonlinear systems is settled. A global asymptotic stability criterion for state-varying systems based on vector energy functions is introduced.References
- J. P. LaSalle, The stability of dynamical systems, Regional Conference Series in Applied Mathematics, Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1976. With an appendix: “Limiting equations and stability of nonautonomous ordinary differential equations” by Z. Artstein. MR 0481301
- Gary H. Meisters, Jacobian problems in differential equations and algebraic geometry, Rocky Mountain J. Math. 12 (1982), no. 4, 679–705. MR 683862, DOI 10.1216/RMJ-1982-12-4-679
Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 122 (1994), 801-804
- MSC: Primary 39A11; Secondary 39B12, 58F10
- DOI: https://doi.org/10.1090/S0002-9939-1994-1204384-3
- MathSciNet review: 1204384