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Jour.al of Systems Engineer.ng and Electr.nics 2010年第6期21卷 1054-1062页

作者： Lin Chai1, 2. Shumin Fei1, 2. Haiyan Jin1, 2. r.imin Wang1, 2. and Yanhong Li1, 2.1. Key Labor.tor. of Measur.ment and Contr.l of Comp.ex Systems of Engineer.ng, Southeast univ.r.ity, Nanjing 2.0096, p. r. china 2. School of Autom{2., Southeast univ.r.ity, Nanjing 2.0096, p. r. china Key Labor.tor. of Measur.ment and Contr.l of Comp.ex Systems of Engineer.ng Southeast UniversityNanjing 210096P.R.China School of Automation Southeast UniversityNanjing 210096P.R.China

The p.oblem on stabilization for.the system with distr.buted delays is r.sear.hed. The distr.buted time-delay under.consider.1} is assumed to be a constant time-delay, but not known exactly. A design method is p.op.sed for.a memor. p.op.r.ional and integr.l （p.） feedback contr.ller.with adap.ation to distr.buted time-delay. The feedback contr.ller.with memor. simultaneously contains the cur.ent state and the p.st distr.buted {3. of the addr.ssed systems. The design for.adap.ation law to distr.buted delay is ver. concise. The contr.ller.can be der.ved by solving a set of linear.matr.x inequalities （LMIs）. Two numer.cal examp.es ar. given to illustr.te the effectiveness of the design method.

关键词： distr.buted delay linear.matr.x inequality (LMI) adap.ive contr.l time-delay systems memor. p. feedback.

On the Mean Value For.ula of Dedekind Sums

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Acta Mathematica Sinica,English Ser.es 1999年第2期15卷 245-254页

作者： Xiali He Wenp.ng Zhang, Dep.r.ment of mathematics, Nor.hwest univ.r.ity, Xi’an 710069,{2. Dep.r.ment of mathematics Northwest University Xi’an P. R. China

The main p.r.0}se of this p.p.r.is to use the mean value theor.m of the Dir.chlet L-function to study the distr.bution p.op.r.y of Dedekind sums, and to give a shar.0}r.mean value for.ula.

关键词： Dedekind sums Distr.bution of the mean value Asymp.otic for.ula

On the Constr.ction of Some New Har.onic Map. fr.m r.m to H^m

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Acta Mathematica Sinica,English Ser.es 2001年第2期17卷 301-304页

作者： Yuguang SHI Dep.r.ment of mathematics. p.king univ.r.ity, Beijing 100871,{2. Dep.r.ment of mathematics Peking University Beijing 100871 P. R. China

In this note, we const, r.ct some new har.onic map. fr.m r.m to H^m via symmetr.c methods.

关键词： Har.onic Map. Symmetr.c Methods

A New gener.ting Method and Its Ap.lication

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Jour.al of Systems Engineer.ng and Electr.nics 2003年第2期14卷 82-85页

作者： Song Zhongmin Dep.. of mathematics, Yantai univ.r.ity, Yantai 2.4005,{2. Dep.. of mathematics Yantai University Yantai 264005 P. R. China

In this p.p.r. a new gener.ting method-op.osite-dir.ction accumulated gener.ting op.r.6} is p.esented. The effectiveness of the method for.differ.nt or.ginal sequences to choose differ.nt gener.ting op.r.6} is discussed and the op.imal p.r.meter. ɑ and b of gr.y model by a new str.ctur. of backgr.und and initial value ar. obtained. Some p.op.r.ies of a gr.y model ar. studied. The calculating p.ecision of the examp.e shows that the method is ver. effective.

关键词： Sequence gener.ting method Gr.y model.

On　the　H_∞　Contr.l　for.Linear.Time-Delay　Systems

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Jour.al of Systems Engineer.ng and Electr.nics 1998年第3期9卷 23-28页

作者： Chen Wanyi (coll.ge of mathematics, Nankai {2., Tianjin 3.0071,{3. ) coll.ge of Mar.ematics Nankai University Tianjin 300071 P. R. China

In this p.p.r. we study the H∞ contr.l of time-delay linear.systems either.with some　nor.-bounded uncer.ainties or.not with (for.systems not in the scop. of the nominal systems of the for.er.ones). As linear.time-delay systems ar. infinite dimensional in natur.l, some new sufficient conditions in r.ccati equation for. ar. offer.d, which extends cur.ent r.lated r.sults. We also p.int out a mistake ap.ear.d in a r.cently p.blished p.p.r.

关键词： Time-delay Uncer.ainty Stabilization r.ccati equation

On E-Unitar. r.gular.Semigr.up.

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Acta Mathematica Sinica,English Ser.es 2002年第3期18卷 565-578页

作者： Yong Hua LI Dep.r.ment of mathematics. South, china Nor.al {2.. Guangzhou 51063.,{3. Dep.r.ment of mathematics South China Normal University Guangzhou P. R. China

In this p.p.r.we define a concep. of a p.-sextet and descr.be a str.ctur. of E-unitar. r.gular.semigr.up..

关键词： Or.hodox semigr.up E-unitar. r.gular.semigr.up Sextet-set p.-semigr.up

Op.imal r.p.enishment p.oblem for.Items with p.lynomial Demand Dur.ng Their.Life p.r.od

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Jour.al of Systems Engineer.ng and Electr.nics 1999年第2期10卷 9-14页

作者： Zhou Yongwu(Dep.r.ment of mathematics, Hefei univ.r.ity of Technology,2.0009,{2.) Dep.r.ment of mathematics Hefei University of Technology 230009 P. R. China

In this p.p.r. a deter.inistic lot-sizing model is develop.d for.an item dur.ng its lifep.r.od. A demand for.the item is ap.r.ximated by a sp.cial p.lynomial function. And shor.ages ar.allowed to occur.in the p.op.sed model. A simp.e dynamic p.ogr.mming method is p.esented for.7}ner.ting the op.imal r.p.enishment p.licy. A numer.cal examp.e is used to illustr.te the solutionp.ocedur. for.the sp.cial case with quadr.c demand. Sensitivity analysis for.p.r.meter. is alsoincluded.

关键词： Dynamic p.ogr.mming Inventor. p.lynomial demand.

On Minimal Gr.p. Evolutions in the Hyp.r.olic Sp.ce

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Acta Mathematica Sinica,English Ser.es 1999年第3期15卷 371-374页

作者： Li Ma Dep.r.ment of Ap.lied mathematics, Tsinghua univ.r.ity, Beijing 100084,{2. Dep.r.ment of Ap.lied mathematics Tsinghua University Beijing P. R. China

We study her. minmal gr.p. evolutions in the hyp.r.olic sp.ce and p.ove that ther. exists a unique smooth solution.

关键词： Minimal gr.p. evolution Ap.ior. estimate

Exact r.tes of Conver.0}nce of Functional Limit Theor.ms for.Csor.o-r.vesz Incr.ments of a Wiener.p.ocess

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Acta Mathematica Sinica,English Ser.es 2002年第4期18卷 727-736页

作者： Wen Sheng WANG Dep.r.ment of mathematics. Zhejiang univ.r.ity, Hangzhou 3.002.,{2. Dep.r.ment of mathematics. Hangzhou Teacher.s coll.ge. Hangzhou 3.0012.{2. Dep.r.ment of mathematics Zhejiang University Hangzhou 310028

Let {W(t): t≥0} be a standar. Wiener.p.ocess and S be the Str.ssen set of functions. We investigate the exact r.tes of conver.1}nce to zer. (as T→∞) of the var.ables sup.(0≤≤T-a_T inf_(f∈S sup.(0≤r.1 |Y_t, T(x)-f(x)] and inf_(0≤t≤T-a_T sup.(0≤x≤1|Y_(t.T)(x)-f(x)| for.any given f∈S, wher. Y_(t.T)(x)=(W(t+xa_T)-W(t))(2._T(logTa_T^(-1)+log logT))^(-1/2.. We establish a r.l{3. between how small the incr.ments ar. and the functional limit r.sults of Csr.-r.vesz incr.ments for.a Wiener.p.ocess. Similar.r.sults for.p.r.ial sums of i.i.d, r.ndom var.ables ar. also given.

关键词： Wiener.p.ocess Csor.o-r.vesz incr.ment Str.ssen's law of the iter.ted logar.thm

Domain wall networ.:A dual solution for.gr.vitational waves and Hubble tension?

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Science china(p.ysics,Mechanics & Astr.nomy) 2024年第11期67卷 39-46页

作者： Ligong Bian Shuailiang ge Changhong Li Jing Shu Junchao Zong Dep.r.ment of p.ysics and Chongqing Key Labor.tor. for.Str.ngly Coup.ed p.ysics Chongqing UniversityChongqing 401331China Center.for.High Ener.y p.ysics Peking UniversityBeijing 100871China School of p.ysics and State Key Labor.tor. of Nuclear.p.ysics and Technology Peking UniversityBeijing 100871China Dep.r.ment of Astr.nomy Key Laboratory of Astroparticle Physics of Yunnan ProvinceSchool of Physics and AstronomyYunnan UniversityKunming 650091China Beijing Laser.Acceler.0} Innovation Center Beijing 101400China Dep.r.ment of p.ysics Nanjing UniversityNanjing 210093China CAS Key Labor.tor. of Theor.tical p.ysics Institute of Theoretical PhysicsChinese Academy of SciencesBeijing 100190China

We exp.or. the p.ssibility that domain wall networ.s gener.te the stochastic gr.vitational wave backgr.und(SGWB) obser.ed as a str.ng common p.wer.law p.ocess in the Data r.lease-{3.of p.r.es p.lsar.Timing Ar.ay. We find that a br.ad r.nge of p.r.meter., sp.cifically wall tension ar.und σ_(DW)^({3.-414 TeV)^(3. and wall-decay temp.r.tur. within T_(d) ~ {3.-{3.7 MeV, can exp.ain this p.enomenon at a 68% cr.dible level. Meanwhile, the same p.r.meter. could ease the Hubble tension if p.r.icles fr.m these domain wall networ.s decay into dar. r.diation. We establish a dir.ct analytical r.lationship. ΩGW(f_(p., T_(0))h^({3.~ Ω_(r.d)h^({3.(Ω_νΩN_(eff))^({3.,to illustr.te this coincidence, under.ining its imp.r.ance in the under.ying p.ysics and p.tential ap.licability to a wider.r.nge of models and data. Conver.ely, if the common p.wer.law p.ocess is not attr.buted to domain wall networ.s, our.findings imp.se tight limits on the wall tension and decay temp.r.tur..

关键词： domain wall gr.vitational waves Hubble tension