Global exponential stability for a class of impulsive integro-differential equation. (English) Zbl 1147.34357
Summary: The convergent dynamical behaviors of a class of impulsive integro-differential equation are discussed. By establishing an integro-differential inequality with impulsive initial conditions and using the properties of M-cone and eigenspace of the spectral radius of non-negative matrices, some new sufficient conditions to guarantee the global exponential stability are obtained. The results extend and improve the earlier publications. An example is given to illustrate the theoretical results.
MSC:
| 34K45 | Functional-differential equations with impulses |
| 34K20 | Stability theory of functional-differential equations |
| 45J05 | Integro-ordinary differential equations |
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