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On finite-time stabilization of evolution equations: A homogeneous approach
2016
2016 IEEE 55th Conference on Decision and Control (CDC)
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