The purpose of this note is to study impulsive control and synchronization of memristor based chaotic circuits shown by Muthuswamy. We first establish a less conservative sufficient condition for the stability of memristor based chaotic circuits. After that, we discuss the effect of errors on stability. Meanwhile, we also discuss impulsive synchronization of two memristor based chaotic systems. Our results are more general and more applicable than the ones shown by Yang, Li, and Huang. Finally, several numerical examples are given to show the effectiveness of our methods.

Previous studies confirmed the safety and feasibility of oral feeding on the first postoperative day (POD) for patients with minimally invasive esophagectomy (MIE). Nonetheless, some clinical concern can lead to delays in early oral feeding on POD 1. To our knowledge, few reports have focused on resolving these clinical concerns. The aims of this study were to evaluate the effects of an early, quantified, modified oral feeding protocol for patients after MIE and to explore its effect on nutritional status and quality of life (QoL). In this prospective controlled trail, 200 patients were selected as the intervention group (IG) from March 2020 to June 2021; 115 patients hospitalized from June 2019 to February 2020 were assigned to the control group (CG). For 2 wk during the postoperative period, IG participants received an early, quantified, modified oral feeding protocol. The recovery of dietary outcomes, nutritional status, and QoL were evaluated after the intervention. There was no significant difference between the two groups in terms of demographic and clinical characteristics and baseline physical function. After the intervention, patients in the IG showed a more rapid growth in daily total oral caloric intake and the ratio of oral calorie intake to total calorie required by the body (K/R value) from POD 1 to POD 14, and less weight loss (1.5 ± 1 versus 2.1 ± 1.7 kg; P < 0.05), better serum prealbumin (193.0 ± 26.9 versus 139.3 ± 27.2 mg/L; P < 0.05) than the CG with statistical significance. By the second week of the intervention, IG patients reported higher global QoL and function scores and lower symptom scores than patients in the CG. The IG participants presented a shorter time to first flatus and bowel movement (P < 0.001), a shorter postoperative hospital length of stay, and higher activities of daily living scores (P < 0.05) the those in the CG. The findings demonstrated that the early, quantified, modified oral feeding protocol can alleviate postoperative body weight loss, improve the patient's nutritional status, and have a positive effect on QoL and early recovery for patients undergoing MIE.