Finite-time H-infinity synchronization of semi-Markov jump Lur'e systems

This paper investigates the problem of finite-time H-infinity synchronization for semi-Markov jump Lur'e systems with time-varying delay and external disturbance. The purpose of this work is to design a mode-dependent state-feedback controller to ensure that the synchronization-error system achieves finite-time synchronization with a prescribed H-infinity performance index. A criterion for the finite-time synchronization is proposed by using appropriate Lyapunov functional and two recently developed inequalities. Then, a design method for the required state-feedback controller is presented with the application of several decoupling techniques. Finally, an example is provided to illustrate the applicability of the proposed control method

Real‐world comprehensive diagnosis and “Surgery + X” treatment strategy of early‐stage synchronous multiple primary lung cancer

Abstract Background Diagnosing and treating synchronous multiple primary lung cancers (sMPLC) are complex and challenging. This study aimed to report real‐world data on the comprehensive diagnosis and treatment of patients with early‐stage sMPLC. Materials and Methods A single‐center cohort study was carried out and a large number of patients with early‐stage sMPLC were included. A single‐ or two‐stage surgery was performed to remove the primary and co‐existing lesions. The “X” strategies, including ablation, SBRT, and EGFR‐TKIs treatment, were applied to treat the high‐risk residual lesions. Wide panel‐genomic sequencing was performed to assess the genetic heterogeneity of the co‐existing lesions. Results A total of 465 early‐stage sMPLC patients with 1198 resected lesions were included. Despite most patients being histologically different or harboring different genetic alternations, about 7.5% of the patients had the same histological type and driver gene mutation changes, comprehensive re‐evaluation is thus needed. The “Surgery + X” strategy showed remarkable efficacy and safety in treating multiple lesions. Follow‐up data revealed that the T2 stage (p = 0.014) and the solid presence of a primary lesion (p < 0.001) were significantly related to tumor recurrence. And a T2‐stage primary tumor had a significantly higher rate of developing new lesions after the initial surgery (p < 0.001). Conclusions In real‐world practice, histopathological and radiological evaluation combined with genetic analyses could be a robust diagnostic approach for sMPLC. The “Surgery + X” treatment strategy showed remarkable efficacy, superiority, and safety in the clinical treatment of early‐stage sMPLC