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Abstract Positive uniform exponential stability of positive nonlinear systems on arbitrary time scales with bounded graininess function is studied. It is proved that linearization preserves positivity of systems. Then it… Click to show full abstract
Abstract Positive uniform exponential stability of positive nonlinear systems on arbitrary time scales with bounded graininess function is studied. It is proved that linearization preserves positivity of systems. Then it is shown that positive uniform exponential stability of the linear approximation of a nonlinear system implies positive uniform exponential stability of the nonlinear system.
Keywords:
positive uniform;
stability;
time scales;
stability nonlinear;
exponential stability
Journal Title: Nonlinear Analysis: Hybrid Systems
Year Published: 2019
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Journal Title: Nonlinear Analysis: Hybrid Systems
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!