Stability analysis of set trajectories for families of impulsive equations

ABSTRACT

In this paper, for a family of impulsive equations, a heterogeneous matrix-valued Lyapunov-like function is considered, the comparison principle is formulated, and stability conditions for the set of stationary solutions are established. In addition, for a class of impulsive equations with uncertain parameters the monotone iterative technique for constructing a set of solutions is adapted.

KEYWORDS:

• Family of impulsive equations
• stability
• comparison principle
• monotone iterative technique

AMS SUBJECT CLASSIFICATIONS:

• 34A37
• 34D20
• 34E20

Notes

No potential conflict of interest was reported by the authors.