Pole assignment for the first order coupled generalized control systems 一階耦合廣義控制系統(tǒng)的極點(diǎn)配置問(wèn)題
As corollaries , we get the strong law of large numbers for the frequencies of occurrence of states and ordered couple of states for markov chains indexed by a homogeneous tree 作為推論,得到了齊次樹(shù)指標(biāo)可列馬氏鏈關(guān)于狀態(tài)和狀態(tài)序偶出現(xiàn)頻率的強(qiáng)大數(shù)定律。
The models of analyzing temperature and structure are established . temperature increment and deformation are discussed with finite element method and ordered coupling method . maximum tensile stress criterion is chosen as the destroying criterion of components 首先建立了光學(xué)元件溫升和結(jié)構(gòu)分析模型,用有限元法和序貫耦合法計(jì)算材料的溫升和變形,同時(shí)選取最大拉應(yīng)力準(zhǔn)則作為材料的破壞準(zhǔn)則。
Secondly , definitions of a extended bethe tree , bethe tree and cayley tree are introduced . further , the even - odd markov chain fields and markov chain fields indexed by a extended bethe tree , bethe tree and cayley tree are defined . subsequently the strong limit theorems proved above are applied to the study of all kinds of even - odd markov chain fields and markov chain fields defined above , which both extend the conclusions in [ 30 ] and [ 39 ] and prove a class of strong limit theorems for the even - odd markov chain fields and markov chain fields . as corollaries , we obtain some strong limit theorems for the frequencies of occurrence of states and ordered couples of states for the even - odd markov chain fields and markov chain fields . lastly , some coarse estimates are gained about the state occurrence frequencies for all kinds of even - odd markov chain fields and markov chain fields defined in the paper 然后把前面所證得的一類(lèi)強(qiáng)極限定理應(yīng)用到本文中所定義的各種奇偶馬爾可夫鏈場(chǎng)、馬爾可夫鏈場(chǎng)的研究工作中,從而推廣了[ 30 ]和[ 39 ]中的結(jié)論,獲得了本論文中所定義的各種奇偶馬爾可夫鏈場(chǎng)、馬爾可夫鏈場(chǎng)的一類(lèi)強(qiáng)極限定理。作為這一類(lèi)強(qiáng)極限定理的推論得到了狀態(tài)和狀態(tài)序偶出現(xiàn)頻率的一類(lèi)強(qiáng)極限定理。最后,給出了本論文中所定義的各種奇偶馬爾可夫鏈場(chǎng)、馬爾可夫鏈場(chǎng)上狀態(tài)出現(xiàn)頻率的若干粗略估計(jì)。
The influence of optical source chirp on femtosecond soliton interaction is studied numerically , and the unequal amplitude method can reduce the interaction . in addition high - order coupled equations governing the evolution of two orthogonal polarization components of the same wave are derived by using multi - dimension derivation expansion method of singular perturbation theory and the dispersion relation . furthermore , a class of optical solitary wave solutions , such as the bright - bright , dark - dark , bright - dark , and combined solitary waves are found under certain parametric conditions 數(shù)值研究了源啁啾飛秒孤子間相互作用,提出了抑制該作用的可能方案;用奇異攝動(dòng)多重尺度導(dǎo)數(shù)展開(kāi)法和色散關(guān)系推導(dǎo)了耦合高階非線(xiàn)性薛定諤方程( chnlse ) ,并用行波變換法得到了一系列孤波解析解,分析了它們?cè)诠饫w中傳輸?shù)谋匾獥l件,也討論了它們的穩(wěn)定性,為實(shí)現(xiàn)飛秒光脈沖在光纖中的無(wú)畸變傳輸作理論上的探索。