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In this paper, we propose a distributed control algorithm for consensus of dynamical multi-agent systems based on maximum hands-off control with sampled-data state observation. Maximum hands-off control is a control that maximizes the time duration on which the control is exactly zero among the feasible controls, which can reduce fuel or electricity consumption while the control signals take the value...
The purpose of this article is to show the continuity of the value function of the sparse optimal (or L0-optimal) control problem. The sparse optimal control is a control whose support is minimum among all admissible controls. Under the normality assumption, it is known that a sparse optimal control is given by L1 optimal control. Furthermore, the value function of the sparse optimal control problem...
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