Abstract
This paper studies the asymptotic stability of a single heat equation and the synchronization of a class of networked heat equations under boundary pulse width modulation (PWM) control inputs. Firstly, two duty cycle schemes are modulated according to the whole state and the boundary output state to realize the asymptotic stability of a single heat equation. During each duty cycle, the amplitude of the pulse is fixed. Secondly, assuming that the networked heat equations are connected through undirected strongly connected topology, a boundary PWM controller for each subsystem is constructed based on boundary output state at each sampling instant and consensus protocols,which provides an alternative digital implementation strategy for the consensus control of networked heat equations. In addition, the effectiveness of the method is verified by numerical simulation.
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