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Control of multistable dynamical system has important applications, fromphysics to biology. Here, we attack this problem from the perspective of localsensitivity analysis. We develop sensitivity rules to control properties ofcontinuous-time multistable dynamics with simple attractors, namely, therelative size and depth of their basins of attraction. Our parameter controlsignal is computationally cheap and provides counter-intuitive informationabout the sensitive parameters to be manipulated in an experimental setting.

Control of Multistability through Local Sensitivity Analysis: Application to Cellular Decision-making Networks