| ON INFINITE DIMENSIONAL RICCATI INTEGRALEQUATIONS WITH ALL COEFFICIENTSINDEFINITE |
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| 作者姓名： | 张平健 陈叔平 |
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| 作者单位： | Zhang Pingjian (Division of Mathematics，Guangdong University of Technology，Guangzhou 510090，China)Chen Shuping(Dept. of Mathematics，Zhejiang University，Hangzhou 310027，China) |
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| 摘 要： | 1IntroductionXiccatiequationshavebeenplayinganimportantroleinmoderncontroltheoryduetotheircloserelationtolinearquadraticoptimalcontrol,optimalfiltering,Hoooptimalcontrolanddifferentialgameproblems.ThereareajreadyagreatdealofworkdevotedtothestudyofRiccatiequationsofbothfinitedimensional(11,etc.)andinfinitedimensiollal(2],etc.).Letusbrieflyreviewsomeknownresults.LetY,U,VbeHilbertspacest0
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ON INFINITE DIMENSIONAL RICCATI INTEGRAL EQUATIONS WITH ALL COEFFICIENTS INDEFINITE |
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| Zhang Pingjian.ON INFINITE DIMENSIONAL RICCATI INTEGRALEQUATIONS WITH ALL COEFFICIENTSINDEFINITE[J].Acta Mathematica Scientia,1998(2). |
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| Authors: | Zhang Pingjian |
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| Abstract: | Infinite dimensional Riccati integral equations with all coefficients indefinite are studied in this paper. Relationship between this sort of Riccati integral equations and Fredholm integral equations is established. |
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| Keywords: | Riccati integral equations Fredholm integral equations Evolution operators |
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