本文選題：Krawtchouk多項(xiàng)式 + Jacobsthal數(shù)列��； 參考：《華僑大學(xué)學(xué)報(bào)(自然科學(xué)版)》2017年06期

【摘要】：為了簡(jiǎn)便地解決二階遞歸系統(tǒng)的穩(wěn)定性問(wèn)題,將二階遞歸系統(tǒng)轉(zhuǎn)變?yōu)槎A離散時(shí)變線性系統(tǒng),并討論遞歸系統(tǒng)的穩(wěn)定性.在二階離散線性時(shí)變系統(tǒng)穩(wěn)定性分析的基礎(chǔ)上,利用奇異值分解(SVD),將其轉(zhuǎn)化為參考信號(hào)(RS)系統(tǒng).提出一個(gè)新的離散時(shí)變線性系統(tǒng)不穩(wěn)定性的充分條件,并以離散正交Krawtchouk多項(xiàng)式與Jacobsthal數(shù)列遞歸式為主,討論并推導(dǎo)出其在Ⅱ,Ⅳ象限上的變化情況和新的不穩(wěn)定性判據(jù).仿真結(jié)果驗(yàn)證了結(jié)論的準(zhǔn)確性.
[Abstract]:In order to solve the stability problem of second-order recursive systems, the second-order recursive systems are transformed into second-order discrete time-varying linear systems, and the stability of recursive systems is discussed. Based on the stability analysis of the second order discrete linear time-varying system, the singular value decomposition (SVD) is used to transform it into a reference signal (RS) system. A new sufficient condition for the instability of discrete time-varying linear systems is proposed. Based on the discrete orthogonal Krawtchouk polynomials and Jacobsthal sequence recursion, the variation of the discrete orthogonal Krawtchouk polynomials and the new criteria of instability in the 鈪，

本文編號(hào)：1927371