Abstract
Stability of linear impulsive control system is investigated in this thesis, and then a method with impulsive control to assign the eigenvalues of a time-invariant linear system is discussed. Based on the proper Lyapunov functions and the Riccati linear inequality, some sufficient conditions are presented in this paper for impulsive control system with mixing perturbation. Also, some remarks and an illustrative example are given to demonstrate the effectiveness of the obtained results.
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