A unified framework for determinant dynamics under low-rank perturbations is developed that extends to singular matrices via pseudodeterminant and provides multiplicative decompositions for controllability Gramians.
Olfati-Saber, Distributed Kalman filtering for sensor networks, in: 2007 46th IEEE Conference on Decision and Control, 2007, pp
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Determinant Dynamics under Low-Rank Perturbations: A Unified Framework for Singular Systems
A unified framework for determinant dynamics under low-rank perturbations is developed that extends to singular matrices via pseudodeterminant and provides multiplicative decompositions for controllability Gramians.