CSpace  > 系统科学研究所
Chen Hanfu
Source Publicationactamathematicaeapplicataesinica
AbstractFor the multidimensional ARMA system A(z)yk = C(z)ωk it is shown that stability (det A(z)≠0,Angz :|z|≤ 1) of A(z) is equivalent to the trajectory boundedness in the mean square sense (MSS) nlimsup ,lim sup n→∞ 1/n ∑ k=1^n‖yk‖^2<∞ a.s.,which, as a rule, is a consequence of a successful stochastic adaptive control leading the closed-loop of an ARMAX system to a steady state ARMA system. In comparison with existing results the stability condition imposed on C(z) is no longer needed. The only structural requirement on the system is that det A(z) and det C(z) have no unstable common factor.
Document Type期刊论文
Recommended Citation
GB/T 7714
Chen Hanfu. onstabilityandtrajectoryboundednessinmeansquaresenseforarmaprocesses[J]. actamathematicaeapplicataesinica,2003,019(004):573.
APA Chen Hanfu.(2003).onstabilityandtrajectoryboundednessinmeansquaresenseforarmaprocesses.actamathematicaeapplicataesinica,019(004),573.
MLA Chen Hanfu."onstabilityandtrajectoryboundednessinmeansquaresenseforarmaprocesses".actamathematicaeapplicataesinica 019.004(2003):573.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Chen Hanfu]'s Articles
Baidu academic
Similar articles in Baidu academic
[Chen Hanfu]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Chen Hanfu]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.