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Approximate controllability of nonlinear impulsive differential systems. (English) Zbl 1141.93015
Summary: Many practical systems in physical and biological sciences have impulsive dynamical behaviours during the evolution process which can be modeled by impulsive differential equations. This paper studies the approximate controllability issue for nonlinear impulsive differential and neutral functional differential equations in Hilbert spaces. Based on the semigroup theory and fixed point approach, sufficient conditions for approximate controllability of impulsive differential and neutral functional differential equations are established. Finally, two examples are presented to illustrate the utility of the proposed result. The results improve some recent results.
MSC:
93B05Controllability
93C10Nonlinear control systems
34K40Neutral functional-differential equations