|
|
| |
| ON THE REACHABLE SEMIGROUP OF BILINEAR CONTROL SYSTEMS ON LIE GROUP |
| |
Citation： |
Cao Li,Zheng Yufan.ON THE REACHABLE SEMIGROUP OF BILINEAR CONTROL SYSTEMS ON LIE GROUP[J].Chinese Annals of Mathematics B,1989,10(4):462~471 |
| Page view： 782
Net amount： 891 |
Authors： |
Cao Li; Zheng Yufan |
Foundation： |
Supported by National Science Fund of China No. 6864031. |
|
|
| Abstract： |
This paper studies the reachability and the structure of reachable semigroup of bilinear control systems on Lie group. In the second section some equivalency lemmas
are given, which not only simplify the proofs of the main results, but discover some properties of systems also. In the third section some conditions are advanced that the
reachable semigroup of system is weakly symmatric by means of the study of one parameter subgroups. This study is discussed by manifold theory and matrix theory, respsctively. In the last section, some topological proparties of the reachable semigroup are advanced. |
Keywords： |
|
Classification： |
|
|
|
Download PDF Full-Text
|
|
|
|
