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Hands-off control (or sparse control) is a control that has a small support length that achieves a given control objective. In other words, hands-off control takes zero on a relatively long time duration. Recently, this idea is extended to distributed control for consensus, called distributed hands-off control. In this control, each agent uses hands-off control, which is a bang-off-bang control taking...
Compressed sensing refers to the recovery of high-dimensional but sparse vectors from a small number of measurements. The original and popular approach to compressed sensing is based on li-norm, popularly referred to as the LASSO formulation. A recent paper gives the "best possible" bounds on when the LASSO formulation is able to achieve compressed sensing. Over the years, the traditional...
Given the heterogeneity of cancer tumors, and the propensity of tumor cells to become resistant to therapy even when they are initially responsive, the current thinking is to administer multi-drug therapy to cancer patients. However, given the complexity of cancer, predicting the efficacy of multi-drug therapy, and the emergence of resistance, are important challenges. In this paper, a mini-survey...
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