In this study,we systematically investigate theαdecay half-lives of 263 emitters in the 52≤Z≤107region and clusters^(14)C,^(20)O,^(23)Fe,^(24,25,26)Ne,^(28,30)Mg,and^(32,34)Si in the presence of an extended form of...In this study,we systematically investigate theαdecay half-lives of 263 emitters in the 52≤Z≤107region and clusters^(14)C,^(20)O,^(23)Fe,^(24,25,26)Ne,^(28,30)Mg,and^(32,34)Si in the presence of an extended form of the Sextic potential to describe the strong nuclear interaction between the daughter nucleus and cluster in the parent nucleus using the Wentzel-Kramers-Brillouin(WKB)method.We find nuclear potential parameters that explain the decay mechanism for each variety of cluster and show that this form of double-well potential provides an excellent description of the nuclear decay phenomenon.We highlight constraints between the potential parameters and experimental data.Moreover,we emphasize the importance of the coupling parameters of the nuclear potential in the nature of the preformed cluster.The obtained results are compared with experimental and literature data.Our results are in very good agreement with the experimental data.展开更多
A robust polynomial observer is designed based on passive synchronization of a given class of fractional-order Colpitts(FOC)systems with mismatched uncertainties and disturbances.The primary objective of the proposed ...A robust polynomial observer is designed based on passive synchronization of a given class of fractional-order Colpitts(FOC)systems with mismatched uncertainties and disturbances.The primary objective of the proposed observer is to minimize the effects of unknown bounded disturbances on the estimation of errors.A more practicable output-feedback passive controller is proposed using an adaptive polynomial state observer.The distributed approach of a continuous frequency of the FOC is considered to analyze the stability of the observer.Then we derive some stringent conditions for the robust passive synchronization using Finsler’s lemma based on the fractional Lyapunov stability theory.It is shown that the proposed method not only guarantees the asymptotic stability of the controller but also allows the derived adaptation law to remove the uncertainties within the nonlinear plant’s dynamics.The entire system using passivity is implemented with details in PSpice to demonstrate the feasibility of the proposed control scheme.The results of this research are illustrated using computer simulations for the control problem of the fractional-order chaotic Colpitts system.The proposed approach depicts an efficient and systematic control procedure for a large class of nonlinear systems with the fractional derivative.展开更多
文摘In this study,we systematically investigate theαdecay half-lives of 263 emitters in the 52≤Z≤107region and clusters^(14)C,^(20)O,^(23)Fe,^(24,25,26)Ne,^(28,30)Mg,and^(32,34)Si in the presence of an extended form of the Sextic potential to describe the strong nuclear interaction between the daughter nucleus and cluster in the parent nucleus using the Wentzel-Kramers-Brillouin(WKB)method.We find nuclear potential parameters that explain the decay mechanism for each variety of cluster and show that this form of double-well potential provides an excellent description of the nuclear decay phenomenon.We highlight constraints between the potential parameters and experimental data.Moreover,we emphasize the importance of the coupling parameters of the nuclear potential in the nature of the preformed cluster.The obtained results are compared with experimental and literature data.Our results are in very good agreement with the experimental data.
文摘A robust polynomial observer is designed based on passive synchronization of a given class of fractional-order Colpitts(FOC)systems with mismatched uncertainties and disturbances.The primary objective of the proposed observer is to minimize the effects of unknown bounded disturbances on the estimation of errors.A more practicable output-feedback passive controller is proposed using an adaptive polynomial state observer.The distributed approach of a continuous frequency of the FOC is considered to analyze the stability of the observer.Then we derive some stringent conditions for the robust passive synchronization using Finsler’s lemma based on the fractional Lyapunov stability theory.It is shown that the proposed method not only guarantees the asymptotic stability of the controller but also allows the derived adaptation law to remove the uncertainties within the nonlinear plant’s dynamics.The entire system using passivity is implemented with details in PSpice to demonstrate the feasibility of the proposed control scheme.The results of this research are illustrated using computer simulations for the control problem of the fractional-order chaotic Colpitts system.The proposed approach depicts an efficient and systematic control procedure for a large class of nonlinear systems with the fractional derivative.
