Some results on the controllability of perturbed linear systems on Hilbert spaces

✍ Scribed by Alfredo Germani; Salvatore Monaco

• Publisher: Elsevier Science
• Year: 1981
• Tongue: English
• Weight: 174 KB
• Volume: 1
• Category: Article
• ISSN: 0167-6911
• DOI: 10.1016/s0167-6911(81)80052-7

✦ Synopsis

Some results on the controllability of perturbed linear systems ¢,n HilDert spaces AL'rcdo GERMANI Salvatom MONACO ReveLry1 I I X "fie.~h lusd I J~y 19g ~ L l.tmducd~ This r~per ~:ais %xhh II1¢ p~b]em of s'.ud)~ng the commllabillty o[ the :~je~torl¢~ for a cI~ of ~)v.lln~ D~|~ who~ state, input and output spa~ a~ s~pa~ble Hilb~ Slm~ M~ prcci~c~'/~= ~ill consld er ~n~r pcrlutbed ~nt~l syst.cms d e~'~t ed by ~(t)=AxIt~+BU(I)+8(X(I),~(I}). ~(0) =.~. (1.1) wb~ x(O E ~. and "~(t) ~ ~., 9C. and ?C. being scp~ble ~I Hilben sra~ wldi [-,-]., [-,-]. ~d [-]., [.[. the ;nn~ p~.~ucts ~d no~ rcspccti.~ly. Moreover, .4 is the infin]tcs~ml g~erator of a strongly amttnu0u~ semigx,~up of op~zo~ {F(t), t.*O]; B:{]C. ~]C. is a bo~nde(L lln~ op~ator;, g:~'~. X ~t~ ~ ~a is • p~--1 mbation t~ whi-..h satisI]~ the LJp~tz conditions

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