应用数学
應用數學
응용수학
MATHEMATICA APPLICATA
2009年
3期
651-655
,共5页
Rayleigh梁方程%压电驱动器%精确能控性%Hilbert唯一性方法%Diophantine逼近理论
Rayleigh樑方程%壓電驅動器%精確能控性%Hilbert唯一性方法%Diophantine逼近理論
Rayleigh량방정%압전구동기%정학능공성%Hilbert유일성방법%Diophantine핍근이론
Rayleigh beam%Piezoelectric actuator%Exact controllability%Hilbert uniqueness method%Theory of Diophantine approximate
该文研究带有压电驱动器的Rayleigh梁系统的精确能控性.先用算子半群方法和提升结果[9]建立了Rayleigh梁方程解的正则性;再用Hilbert唯一性方法结合Diophantine逼近理论的某些结果得到了系统的精确L~2-能控性.
該文研究帶有壓電驅動器的Rayleigh樑繫統的精確能控性.先用算子半群方法和提升結果[9]建立瞭Rayleigh樑方程解的正則性;再用Hilbert唯一性方法結閤Diophantine逼近理論的某些結果得到瞭繫統的精確L~2-能控性.
해문연구대유압전구동기적Rayleigh량계통적정학능공성.선용산자반군방법화제승결과[9]건립료Rayleigh량방정해적정칙성;재용Hilbert유일성방법결합Diophantine핍근이론적모사결과득도료계통적정학L~2-능공성.
In this paper,it is investigated that the exact controllability of a Rayleigh system with a piezoelectric actuator. First,it is established that the regularity of the solution of the Rayleigh beam equation via the method of linear operator semigroup and lifting result[9]. Then,it is showed that exact L~2 -controllability for the system by applying the Hilbert u-niqueness method combined with some results from the theory of Diophantrne approximate.
