ψ-exponential Stability for Non-linear Impulsive Differential Equations

In this paper, we shall present sufficient conditions for the ψ-exponential stability of a class of nonlinear impulsive differential equations. We use the Lyapunov method with functions that are not necessarily differentiable. In the last section, we give some examples to support our theoretical results.

Authors:

• Bhanu Gupta
• Sanjay K. Srivastava

Keywords:

• Exponential stability
• globally exponential stability
• impulsive differential equations
• Lyapunov function
• ψ-stability.

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