Distributed sampled-data control of nonholonomic multi-robot systems with proximity networks

This paper considers the distributed sampled-data control problem of a group of mobile robots connected via distance-induced proximity networks. A dwell time is assumed in order to avoid chattering in the neighbor relations that may be caused by abrupt changes of positions when updating information from neighbors. Distributed sampled-data control laws are designed based on nearest neighbour rules, which in conjunction with continuous-time dynamics results in hybrid closed-loop systems. For uniformly and independently initial states, a sufficient condition is provided to guarantee synchronization for the system without leaders. In order to steer all robots to move with the desired orientation and speed, we then introduce a number of leaders into the system, and quantitatively establish the proportion of leaders needed to track either constant or time-varying signals. All these conditions depend only on the neighborhood radius, the maximum initial moving speed and the dwell time, without assuming a prior properties of the neighbor graphs as are used in most of the existing literature.Comment: 15 pages, 3 figure

Energy translation and Proper-Time Eigenstates

The usual quantum mechanics describes the mass eigenstates. To describe the proper-time eigenstates, a duality theory of the usual quantum mechanics was developed. The time interval is treated as an operator on an equal footing with the space interval, and the quantization of the space-time intervals between events is obtained. As a result, one can show that there exists a zero-point time interval.Comment: 15 pages, No figur

Clinical Effect of Endoscopic Sinus Surgery on Fungal Sinusitis

Objective: To investigate the clinical effect of endoscopic sinus surgery on fungal sinusitis. Methods: 100 patients who came to our hospital for treatment from January 2019 to January 2022 were selected as the study subjects. The patients were divided into two groups using a random number table method, with 50 patients in each group. They were the experimental group and the control group. Patients in the control group can be treated with traditional Caldwell Luc surgery. The experimental group was treated with endoscopic sinus surgery. The total effective rate, specific airway resistance, olfactory function, incidence of postoperative infection, and recurrence rate of the two groups were compared. Results: The total effective rate of surgery in the experimental group reached 98%. Compared with the control group, the total effective rate of surgery was 78%. The difference was statistically significant (P<0.05). There was no statistically significant difference between the postoperative infection rate (2.53% vs 8.57%) and recurrence rate (2.86% vs 5.71%) between the two groups (P>0.05). Conclusion The treatment of fungal sinusitis with endoscopic sinus surgery is effective, which can significantly reduce nasal airway resistance, improve patients' olfactory function, and reduce postoperative infection and recurrence

Clinical Efficacy and Prognosis of Budesonide Nasal Spray in the Treatment of Allergic Rhinitis

To explore the clinical efcacy of budesonide nasal spray in the treatment of allergic rhinitis. Methods: 100 patients with allergic rhinitis who received treatment in our hospital from January 2022 to January 2023 were selected as the study subjects. Patients were ran-domly divided into two groups, a control group and an experimental group, with 50 patients in each group. Both groups of patients require treatment with loratadine. On this basis, patients in the experimental group were more likely to use budesonide nasal spray than patients in the control group. Observe the efcacy and adverse reactions of the two groups of patients. Results: The treatment efect and recurrence rate of rhinitis in the experimental group were better than those in the control group, and the treatment efect was good. The recurrence rate of pa-tients was also decreasing. There was no signifcant diference in adverse reactions between the two groups (P>0.05). Conclusion The exper-imental group of budesonide nasal spray has good efcacy and prognosis in the treatment of allergic rhinitis, with safety assurance and ideal application efect, which is worthy of clinical promotion and application