Rota-Baxter operators on M_n(C) receive a norm-compatible structural classification whose induced Lie brackets are analyzed, then applied to produce LMI conditions ensuring asymptotic stability on the sliding manifold and L2-gain performance in delayed discrete-time systems.
Guo,An Introduction to Rota-Baxter Algebra, Surveys of Modern Mathematics, vol
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Study of Rota-Baxter Operators in Matrix $C^*$-Algebras Motivated by Toeplitz Structures, and Applications to Sliding Mode Control
Rota-Baxter operators on M_n(C) receive a norm-compatible structural classification whose induced Lie brackets are analyzed, then applied to produce LMI conditions ensuring asymptotic stability on the sliding manifold and L2-gain performance in delayed discrete-time systems.