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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 경남대학교 기초과학연구소 Nonlinear Functional Analysis and Applications Nonlinear Functional Analysis and Applications Vol.24 No.1
- 발행연도
- 2019.1
- 수록면
- 127 - 154 (28page)
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In this paper we consider the problem of quadratic linear min-max regulator problem on a UMD (Unconditional Martingale Differences) Banach space where the system is to be regulated by output feedback subject to measurement uncertainty. The problem is to find an optimal feedback policy (an operator valued function) that minimizes the maximum risk (or loss). We prove existence of an optimal policy, as an output feedback operator valued function, and present the necessary conditions of optimality. Also we present a convergence theorem based on the necessary conditions of optimality. The results presented here are new even in the Hilbert space setting.
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참고문헌 (18)
참고문헌 신청
N. U. Ahmed / 2015 / Infinite dimensional uncertain dynamic systems on Banach spaces and their optimal output feedback control / Differ. Inclu. Control and Optim 35:65~87
N. U. Ahmed / 2016 / Necessary conditions of optimality of output feedback control law for infinite dimensional uncertain dynamic systems / Pure and Appl. Funct. Anal 1(2):159~184
N.U. Ahmed / 1991 / Semigroup theory with applications to systems and control / Longman scientific and technical, U.K
N. U. Ahmed / 2016 / A class of semilinear infinite dimensional uncertain systems on Banach spaces controlled by vector measures containing dirac measures / Nonlinear Funct. Anal. and Appl 21(4):693~715
N. U. Ahmed / 2012 / Stochastic differential equations on Banach spaces and their optimal feedback control, discussiones mathematicae / Differ. Inclu. Control and optim. 32:87~109
N. U. Ahmed / 2016 / Necessary conditions of optimality of output feedback control law for infinite dimensional uncertain dynamic systems / Pure and Appl. Funct. Anal 1(2):159~184
N.U. Ahmed / 1991 / Semigroup theory with applications to systems and control / Longman scientific and technical, U.K
N. U. Ahmed / 2016 / A class of semilinear infinite dimensional uncertain systems on Banach spaces controlled by vector measures containing dirac measures / Nonlinear Funct. Anal. and Appl 21(4):693~715
N. U. Ahmed / 2012 / Stochastic differential equations on Banach spaces and their optimal feedback control, discussiones mathematicae / Differ. Inclu. Control and optim. 32:87~109
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