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Generalized monotone dilation in a Banach space is introduced. Classical theorems on existence and uniqueness of solutions of nonlinear evolution equations are revised. A universal homogeneous feedback control for a finite-time stabilization of linear evolution equation in a Hilbert space is designed using homogeneity concept. The design scheme is demonstrated for distributed finite-time control of heat and wave equations.doi:10.1109/cdc.2016.7798740 dblp:conf/cdc/PolyakovCR16 fatcat:zlaoeb4zzbfmhjo2yxrhgko2r4