This paper addresses an iterative learning control(ILC) design problem for discrete-time linear systems with randomly varying trial lengths. Due to the variation of the trial lengths, a stochastic matrix and an iterat...This paper addresses an iterative learning control(ILC) design problem for discrete-time linear systems with randomly varying trial lengths. Due to the variation of the trial lengths, a stochastic matrix and an iteration-average operator are introduced to present a unified expression of ILC scheme. By using the framework of lifted system, the learning convergence condition of ILC in mathematical expectation is derived without using λ-norm. It is shown that the requirement on classic ILC that all trial lengths must be identical is mitigated and the identical initialization condition can be also removed. In the end, two illustrative examples are presented to demonstrate the performance and the effectiveness of the proposed ILC scheme for both time-invariant and time-varying linear systems.展开更多
Objective:To observe the clinical efficacy of different acupuncture modalities in the treatment of adhesive capsulitis a tthrough different clinical stages.Methods:Ninety patients of adhesive capsulitis weregraded in ...Objective:To observe the clinical efficacy of different acupuncture modalities in the treatment of adhesive capsulitis a tthrough different clinical stages.Methods:Ninety patients of adhesive capsulitis weregraded in three different stages based on clinical presentations.Patients in painful stage were treated with silver needles once every 5 to 7 days for two courses;patients in adhesive stage were given acupotomy treatment every 7 to 10 days for two courses;while patients in recovery stage were treated with acupuncture with warm needles by moxibustion on tendon knots,once a day 10 times in a course,for two courses of treatment.The disease scores were compared between all groups before and after the treatment,and clinical efficacy was evaluated after the treatment.Results:The disease scores in patients of all three stages were higher after treatment,and the differences were statistically significant(all P<0.05).Among 90 patients with adhesive capsulitis,32 cases were clinically under controlled,37 cases claimed remarkably effective,18 were effective,and 3 ineffective cases,thus the total effective rate for this stage-based treatment is 96.7%.Conclusion:For adhesive capsulitis,different acupuncture modalities targeting patients in different clinical stages were feasible and effective,the disease scores of patients were significantly improved.展开更多
文摘This paper addresses an iterative learning control(ILC) design problem for discrete-time linear systems with randomly varying trial lengths. Due to the variation of the trial lengths, a stochastic matrix and an iteration-average operator are introduced to present a unified expression of ILC scheme. By using the framework of lifted system, the learning convergence condition of ILC in mathematical expectation is derived without using λ-norm. It is shown that the requirement on classic ILC that all trial lengths must be identical is mitigated and the identical initialization condition can be also removed. In the end, two illustrative examples are presented to demonstrate the performance and the effectiveness of the proposed ILC scheme for both time-invariant and time-varying linear systems.
基金Supported by Special Subject of Scientific Research on Traditional Chinese Medicine in Henan Province:2019ZYZD07Special Subject of Scientific Research on Traditional Chinese Medicine in Henan Province:2016ZY2071。
文摘Objective:To observe the clinical efficacy of different acupuncture modalities in the treatment of adhesive capsulitis a tthrough different clinical stages.Methods:Ninety patients of adhesive capsulitis weregraded in three different stages based on clinical presentations.Patients in painful stage were treated with silver needles once every 5 to 7 days for two courses;patients in adhesive stage were given acupotomy treatment every 7 to 10 days for two courses;while patients in recovery stage were treated with acupuncture with warm needles by moxibustion on tendon knots,once a day 10 times in a course,for two courses of treatment.The disease scores were compared between all groups before and after the treatment,and clinical efficacy was evaluated after the treatment.Results:The disease scores in patients of all three stages were higher after treatment,and the differences were statistically significant(all P<0.05).Among 90 patients with adhesive capsulitis,32 cases were clinically under controlled,37 cases claimed remarkably effective,18 were effective,and 3 ineffective cases,thus the total effective rate for this stage-based treatment is 96.7%.Conclusion:For adhesive capsulitis,different acupuncture modalities targeting patients in different clinical stages were feasible and effective,the disease scores of patients were significantly improved.
