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This The problem of impulse analysis in the regular singular system is considered by using the Kronecker indices in this paper. Firstly, the singular system is divided into two cases: 1. The regular linear singular system. 2. The uniformly regular nonlinear singular system. Then, the two theorems that the singular is impulsive if and only if the Kronecker indices are more than one are given. Finally, two numerical simulations are carried out to show the consistency with theoretical analysis and illustrate the effectiveness of the algorithm. Keywords—impulses; regularity; the Kronecker indices

The Impulse Analysis of the Regular Singular System via Kronecker Indices