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Stochastic Stability, ℒ1-gain and Control Synthesis for Positive Semi-Markov Jump Systems
Longjiang Zhao,Wenhai Qi,Lihua Zhang,Yonggui Kao,Xianwen Gao 제어·로봇·시스템학회 2018 International Journal of Control, Automation, and Vol.16 No.5
This paper treats the problems of stochastic stability, ℒ1-gain and control synthesis for positive semi- Markov jump systems (S-MJSs). The system under consideration involves semi-Markov stochastic process related to Weibull distribution. The main motivation for this paper is that the positive condition sometimes needs to be considered in S-MJSs and the controller design methods in the existing works have some conservation. To deal with these problems, some sufficient conditions for stochastic stability of positive S-MJSs are established by implying the linear co-positive Lyapunov function. Then, some sufficient conditions for ℒ1-gain constraint are also presented, upon which, a state feedback controller is designed by decomposing the controller gain matrix such that the resulting closed-loop system is positive and stochastically stable with ℒ1-gain performance in the form of standard linear programming (LP). The advantages of the new framework lie in the following facts: (1) the weak infinitesimal operator is derived for S-MJSs under the constraint of positive condition and (2) the less conservative stabilizing controller is designed to achieve the desired control performance. Finally, numerical examples are given to demonstrate the validity of the main results.
Establishment and Application of Target Gene Disruption System in Saccharomyces boulardii
Longjiang Wang,Hui Sun,Jie Zhang,Qing Liu,Tiantian Wang,Peipei Chen,Hongmei Li,Yihong Xiao,Fangkun Wang,Xiaomin Zhao 한국생물공학회 2015 Biotechnology and Bioprocess Engineering Vol.20 No.1
Saccharomyces boulardii is the best knownprobiotic yeast, widely used as a therapeutic agent for thetreatment or prevention of diarrhea and intestine disorders. In the present work, we established a target gene disruptionsystem for S. boulardii based on the Cre-loxP system usedfor S. cerevisiae and other fungi by screening out selectionmarkers, working out the transformation method, andconstructing essential plasmids for S. boulardii. Theestablished system was successfully applied to the URA3gene disruption and created an ura3 null mutant strain ofS. boulardii. The system can be used for PCR mediatedgene disruption, cloning mediated gene disruption, andreintroduction of the deleted gene back to the mutant. Allthe introduced exogenous DNAs in the gene disruptionprocedures were removed from the final mutant strainexcept the two 34 bp loxP pieces left in deleted gene loci.
New Results on Finite-time Stabilization for Stochastic Systems with Time-varying Delay
Lihua Zhang,Wenhai Qi,Yonggui Kao,Xianwen Gao,Longjiang Zhao 제어·로봇·시스템학회 2018 International Journal of Control, Automation, and Vol.16 No.2
The paper deals with the problem of finite-time stabilization for stochastic systems with time-varying delay by defining a new criterion for finite-time stability. Firstly, by use of more appropriate Lyapunov-Krasovskii functional (LKF), the difficulties of finite-time stability confronted in system analysis and synthesis can be overcome. Then, a state feedback controller is constructed to guarantee the closed-loop system finite-time stable. New conditions for finite-time stability analysis as well as controller synthesis are established in terms of linear matrix inequality (LMI). Finally, two practical examples demonstrate the validity of the main results.