In this study,We propose a compensated distributed adaptive learning algorithm for heterogeneous multi-agent systems with repetitive motion,where the leader's dynamics are unknown,and the controlled system's p...In this study,We propose a compensated distributed adaptive learning algorithm for heterogeneous multi-agent systems with repetitive motion,where the leader's dynamics are unknown,and the controlled system's parameters are uncertain.The multiagent systems are considered a kind of hybrid order nonlinear systems,which relaxes the strict requirement that all agents are of the same order in some existing work.For theoretical analyses,we design a composite energy function with virtual gain parameters to reduce the restriction that the controller gain depends on global information.Considering the stability of the controller,we introduce a smooth continuous function to improve the piecewise controller to avoid possible chattering.Theoretical analyses prove the convergence of the presented algorithm,and simulation experiments verify the effectiveness of the algorithm.展开更多
As an important intermediate substance in the process of producing 1,3-propanediol （1, 3-PD） by bio-dissimilation of glycerol, the concentration of 3-hydroxypropionaldehyde （3-HPA） has inhibitory action on glycero...As an important intermediate substance in the process of producing 1,3-propanediol （1, 3-PD） by bio-dissimilation of glycerol, the concentration of 3-hydroxypropionaldehyde （3-HPA） has inhibitory action on glycerol dehydratase （GDHt） and 1, 3-propanediol oxi- doreductase （PDOR）. Considering the transmission of glycerol and 1,3-PD across cell membrane by both passive diffusion and active transmission as well as the inhibitory action of 3-HPA on the specific rate of growth, this paper aims to establish and dis- cuss a nonlinear hybrid dynamical system model to ascertain the concentration range of 3-HPA where it does exhibit an inhibitory action on GDHt and PDOR. A quantita- tive definition of biological robustness is presented and an identification model is estab- lished based on biological robustness. An algorithm procedure is constructed to solve the identification problem. Numerical results show that only within a proper concentration range 3-HPA can have inhibitory action on the two enzymes mentioned above.展开更多
基金the National Natural Science Foundation of China(Grant Nos.62203342,62073254,92271101,62106186,and 62103136)the Fundamental Research Funds for the Central Universities(Grant Nos.XJS220704,QTZX23003,and ZYTS23046)+1 种基金the Project Funded by China Postdoctoral Science Foundation(Grant No.2022M712489)the Natural Science Basic Research Program of Shaanxi(Grant No.2023-JC-YB-585)。
文摘In this study,We propose a compensated distributed adaptive learning algorithm for heterogeneous multi-agent systems with repetitive motion,where the leader's dynamics are unknown,and the controlled system's parameters are uncertain.The multiagent systems are considered a kind of hybrid order nonlinear systems,which relaxes the strict requirement that all agents are of the same order in some existing work.For theoretical analyses,we design a composite energy function with virtual gain parameters to reduce the restriction that the controller gain depends on global information.Considering the stability of the controller,we introduce a smooth continuous function to improve the piecewise controller to avoid possible chattering.Theoretical analyses prove the convergence of the presented algorithm,and simulation experiments verify the effectiveness of the algorithm.
文摘As an important intermediate substance in the process of producing 1,3-propanediol （1, 3-PD） by bio-dissimilation of glycerol, the concentration of 3-hydroxypropionaldehyde （3-HPA） has inhibitory action on glycerol dehydratase （GDHt） and 1, 3-propanediol oxi- doreductase （PDOR）. Considering the transmission of glycerol and 1,3-PD across cell membrane by both passive diffusion and active transmission as well as the inhibitory action of 3-HPA on the specific rate of growth, this paper aims to establish and dis- cuss a nonlinear hybrid dynamical system model to ascertain the concentration range of 3-HPA where it does exhibit an inhibitory action on GDHt and PDOR. A quantita- tive definition of biological robustness is presented and an identification model is estab- lished based on biological robustness. An algorithm procedure is constructed to solve the identification problem. Numerical results show that only within a proper concentration range 3-HPA can have inhibitory action on the two enzymes mentioned above.
