  This note elaborates on Th. Voronov's construction
[math/0304038,math/0412202] of $L_\infty$-structures via higher derived
brackets with a Maurer-Cartan element. It is shown that gauge equivalent
Maurer-Cartan elements induce $L_\infty$-isomorphic structures. Applications in
symplectic, Poisson and Dirac geometry are discussed.
