The cooperative output regulation problem has been studied by two approaches:the distributed observer(DO)approach and the distributed internal model(DIM)approach,respectively.Each of these two approaches has its own m...The cooperative output regulation problem has been studied by two approaches:the distributed observer(DO)approach and the distributed internal model(DIM)approach,respectively.Each of these two approaches has its own merits and weaknesses.Recently,we presented an overview on the cooperative output regulation problem by the DO approach.This paper further surveys the cooperative output regulation problem by the DIM approach.We first summarize the constructions and the roles of two different versions of the internal models:the distributed p-copy internal model and the distributed canonical internal model.Then,we describe an integrated framework that combines the DO approach and the DIM approach.Extensions and variants of the DIM and their applications will also be highlighted.展开更多
In this paper,a canonical ensemble model for black hole quantum tunneling radiation is introduced.We find that the probability distribution function is the same as the emission rate of a spherical shell in the Parikh-...In this paper,a canonical ensemble model for black hole quantum tunneling radiation is introduced.We find that the probability distribution function is the same as the emission rate of a spherical shell in the Parikh-Wilczek tunneling framework.With this model,the probability distribution function corresponding to the emission shell system is calculated.Therefore,the concrete quantum tunneling spectrum of the Schwarzschild black hole is obtained.展开更多
The Moon’s origin is a long-debated scientific question,and its unique characteristics have led to the widespread acceptance of the giant impact hypothesis as the dominant theory explaining how the Moon formed.Accord...The Moon’s origin is a long-debated scientific question,and its unique characteristics have led to the widespread acceptance of the giant impact hypothesis as the dominant theory explaining how the Moon formed.According to the canonical impact model,an impactor about the size of Mars collided with Earth,leading to the formation of a debris disk primarily composed of material from the impactor,within which the Moon subsequently formed.However,the canonical impact model faces an important challenge in accounting for the remarkably similar isotopic anomalies across various isotope systems observed in both Earth and the Moon,referred to as the“isotope crisis”.To address this quandary,a range of new computational models depicting the giant impact has been proposed.Nevertheless,the inquiry into the Moon’s origin is still far from a conclusive resolution.Consequently,acquiring additional experimental and exploratory data becomes imperative.Furthermore,delving deeper into the limitations and mechanisms of numerical models is crucial,offering the potential for an enhanced understanding of Earth and Moon’s evolution.This paper provides an extensive evaluation of the primary computational models associated with the giant impact theory.It explores the advancements made in research related to this theory and analyzes its merits and limitations.展开更多
In the framework of the canonical seesaw model,we present a simple but viable scenario to explicitly break an S3L×S3R flavor symmetry in the leptonic sector.It turns out that the leptonic flavor mixing matrix is ...In the framework of the canonical seesaw model,we present a simple but viable scenario to explicitly break an S3L×S3R flavor symmetry in the leptonic sector.It turns out that the leptonic flavor mixing matrix is completely determined by the mass ratios of the charged leptons（i.e.,me/mμand mμ/mτ） and those of light neutrinos（i.e.,m1/m2 and m2/m3）.The latest global-fit results of the three neutrino mixing angles {θ12,θ13,θ23}and two neutrino mass-squared differences {？m212,？m312} at the 3σ level are used to constrain the parameter space of {m1/m2,m2/m3}.The predictions for the mass spectrum and flavor mixing are highlighted：（1） the neutrino mass spectrum shows a hierarchical pattern and a normal ordering,e.g.,m1≈2.2meV,m2≈8.8 meV and m3≈52.7 meV;（2） only the first octant of θ23 is allowed,namely,41.8？ θ23 43.3？;（3） the Dirac C P-violating phase δ ≈-22？deviates significantly from the maximal value-90？.All these predictions are ready to be tested in ongoing and forthcoming neutrino oscillation experiments.Moreover,we demonstrate that the cosmological matter-antimatter asymmetry can be explained via resonant leptogenesis,including the individual lepton-flavor effects.In our scenario,leptonic C P violation at low-and high-energy scales is closely connected.展开更多
基金supported by the National Natural Science Foundation of China(Nos.62173092,62173149)the Hong Kong Region Research Grants Council(No.14201621).
文摘The cooperative output regulation problem has been studied by two approaches:the distributed observer(DO)approach and the distributed internal model(DIM)approach,respectively.Each of these two approaches has its own merits and weaknesses.Recently,we presented an overview on the cooperative output regulation problem by the DO approach.This paper further surveys the cooperative output regulation problem by the DIM approach.We first summarize the constructions and the roles of two different versions of the internal models:the distributed p-copy internal model and the distributed canonical internal model.Then,we describe an integrated framework that combines the DO approach and the DIM approach.Extensions and variants of the DIM and their applications will also be highlighted.
基金supported by the National Natural Science Foundation of China(Grant Nos.11273009 and 11303006)
文摘In this paper,a canonical ensemble model for black hole quantum tunneling radiation is introduced.We find that the probability distribution function is the same as the emission rate of a spherical shell in the Parikh-Wilczek tunneling framework.With this model,the probability distribution function corresponding to the emission shell system is calculated.Therefore,the concrete quantum tunneling spectrum of the Schwarzschild black hole is obtained.
基金supported by the National Natural Science Foundation of China(grant numbers 42130114[key projects],42241142,41973063,L2224032,and XK2022DXC004)Additional support comes from the strategic priority research program(B)of the Chinese Academy of Sciences(CAS)(grant number XDB41000000)+1 种基金the preresearch Project on Civil Aerospace Technologies(No.D020202)funded by the Chinese National Space Administrationthe Sichuan Provincial Natural Science Foundation(grant number 2023NSFSC0278).
文摘The Moon’s origin is a long-debated scientific question,and its unique characteristics have led to the widespread acceptance of the giant impact hypothesis as the dominant theory explaining how the Moon formed.According to the canonical impact model,an impactor about the size of Mars collided with Earth,leading to the formation of a debris disk primarily composed of material from the impactor,within which the Moon subsequently formed.However,the canonical impact model faces an important challenge in accounting for the remarkably similar isotopic anomalies across various isotope systems observed in both Earth and the Moon,referred to as the“isotope crisis”.To address this quandary,a range of new computational models depicting the giant impact has been proposed.Nevertheless,the inquiry into the Moon’s origin is still far from a conclusive resolution.Consequently,acquiring additional experimental and exploratory data becomes imperative.Furthermore,delving deeper into the limitations and mechanisms of numerical models is crucial,offering the potential for an enhanced understanding of Earth and Moon’s evolution.This paper provides an extensive evaluation of the primary computational models associated with the giant impact theory.It explores the advancements made in research related to this theory and analyzes its merits and limitations.
基金Supported by NNSFC(11325525)National Recruitment Program for Young ProfessionalsCAS Center for Excellence in Particle Physics(CCEPP)
文摘In the framework of the canonical seesaw model,we present a simple but viable scenario to explicitly break an S3L×S3R flavor symmetry in the leptonic sector.It turns out that the leptonic flavor mixing matrix is completely determined by the mass ratios of the charged leptons（i.e.,me/mμand mμ/mτ） and those of light neutrinos（i.e.,m1/m2 and m2/m3）.The latest global-fit results of the three neutrino mixing angles {θ12,θ13,θ23}and two neutrino mass-squared differences {？m212,？m312} at the 3σ level are used to constrain the parameter space of {m1/m2,m2/m3}.The predictions for the mass spectrum and flavor mixing are highlighted：（1） the neutrino mass spectrum shows a hierarchical pattern and a normal ordering,e.g.,m1≈2.2meV,m2≈8.8 meV and m3≈52.7 meV;（2） only the first octant of θ23 is allowed,namely,41.8？ θ23 43.3？;（3） the Dirac C P-violating phase δ ≈-22？deviates significantly from the maximal value-90？.All these predictions are ready to be tested in ongoing and forthcoming neutrino oscillation experiments.Moreover,we demonstrate that the cosmological matter-antimatter asymmetry can be explained via resonant leptogenesis,including the individual lepton-flavor effects.In our scenario,leptonic C P violation at low-and high-energy scales is closely connected.
