Method of Averaging for Impulsive Differential Inclusions
Method of Averaging for Impulsive Differential Inclusions
Summary: The paper deals with impulsive differential inclusions in the Euclidean space. The main purpose is to justify the method of averaging in the case of bounded and asymptotically small impulses. The obtained results, which are based on an integral continuity condition, generalize the first Bogolyubov's theorem for the method of averaging.
Averaging method for ordinary differential equations, Optimal control problems with equations with ret. arguments (exist.), averaging method, small parameter, Optimal control problems with differential inclusions (existence), method of averaging, Ordinary differential equations with impulses, Impulsive Differential Inclusion, Differential Inclusion, Small Parameter, Method of Averaging, Impulsive optimal control problems, differential inclusion, impulsive differential inclusion, Ordinary differential inclusions
Averaging method for ordinary differential equations, Optimal control problems with equations with ret. arguments (exist.), averaging method, small parameter, Optimal control problems with differential inclusions (existence), method of averaging, Ordinary differential equations with impulses, Impulsive Differential Inclusion, Differential Inclusion, Small Parameter, Method of Averaging, Impulsive optimal control problems, differential inclusion, impulsive differential inclusion, Ordinary differential inclusions
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