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Exact minimum number of bits to stabilize a linear system
2018
2018 IEEE Conference on Decision and Control (CDC)
We consider an unstable scalar linear stochastic system, Xn+1 = aXn + Zn − Un, where a ≥ 1 is the system gain, Zn's are independent random variables with bounded αth moments, and Un's are the control actions that are chosen by a controller who receives a single element of a finite set {1, . . . , M } as its only information about system state Xi. We show that M = ⌊a⌋+1 is necessary and sufficient for β-moment stability, for any β < α. Our achievable scheme is a uniform quantizer of zoom-in /
doi:10.1109/cdc.2018.8619156
dblp:conf/cdc/KostinaPRS18
fatcat:6sxup3q4bfhrdgaukf7q4wzgui