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We construct an asymptotic expansion for solutions to nonlinear singularly perturbed systems of impulsive differential equations. We successively determine all terms of the asymptotic expansion by means of pseudoinverse matrices and orthoprojections. Statement of the ProblemConsider a singularly perturbed systemand generalized impulse conditions at fixed time instants:Suppose that the following conditions are satisfied:(C1) The vector-function f (t, x, ε) is piecewise continuous with discontinuity points τ i , i = 1, p, of the first kind and has continuous partial derivatives with respect to all arguments up to the (μ + 2)th order in the domain(C2) D is a (s × n)-matrix with constant entries, v is a column vector in Rs, M i and N i , i = 1, p, are (k i × n)-matrices with constant entries, and h i ∈ R k i is a column vector.where α 0 (t) is an arbitrary vector-function.(C4) The vector-function ϕ (t, α 0 (t)) is piecewise continuous with discontinuity points τ i , i = 1, p, of the first kind and has continuous partial derivatives with respect to all arguments up to the (μ + 2)th order in the domain Ω 2 ≡ {(t, α 0 (t)) | t ∈ [a, b]\{τ 1 , τ 2 , . . . , τ p }, α 0 (t) ≤ ρ 2 } .Sofia.