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Output feedback stabilization for heat equations with sampled-data controls. (arXiv:1807.01220v1 [math.OC])

来源于:arXiv
In this paper, we build up an output feedback law to stabilize the heat equation, with a potential, in a bonded domain $\Omega$. The feedback law abides the following principles: We divide equally the time interval $[0,+\infty)$ into infinitely many disjoint time periods. Each time period is divided into three disjoint subintervals. In the first subinterval, we observe a solution over an open subset of $\Omega$ and sample the output at one time point; in the second subinterval, we add a time-invariant output feedback control over another open subset of $\Omega$; in the last subinterval, we let the equation evolute free. Thus, the corresponding feedback control is of sampled-data. The advantages of our feedback law are as: the sampling period (which is the length of the above time period) can be arbitrarily given; it has an explicit expression in terms of the sampling period; its norm depends on the sampling period continuously; the behaviours of its norm, when the sampling period goes 查看全文>>