On relative \(\phi_{0}\)-stability of impulsive hybrid systems via perturbing Lyapunov functions. (English) Zbl 1197.34014
Summary: This paper obtains some sufficient conditions for the relative \(\phi_{0}\)-stability of the two impulsive hybrid systems by using the method of perturbing Lyapunov functions.
MSC:
| 34A38 | Hybrid systems of ordinary differential equations |
| 34A37 | Ordinary differential equations with impulses |
| 34D20 | Stability of solutions to ordinary differential equations |
Keywords:
impulsive hybrid systems; perturbing Lyapunov functions; relatively \(\phi_{0}\)-equistable; relatively \(\phi_{0}\)-equi-asymptotically stableReferences:
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