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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.4
- 발행연도
- 2019.1
- 수록면
- 837 - 864 (28page)
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In this paper we consider a class of nonlinear evolution equations on infinite dimensional Banach spaces driven by finitely additive measures generalizing the classical models of impulsive systems. We use measures as controls and prove existence of optimal controls and present necessary (and sufficient) conditions of optimality. Further, we prove a convergence theorem based on the necessary conditions of optimality. Using the general results we construct the necessary conditions of optimality for purely impulsive systems. In the final section we extend our results from signed measures to nitely additive vector measures taking values in infinite dimensional Banach spaces.
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참고문헌 (13)
참고문헌 신청
N. U. Ahmed / 1991 / Semigroup Theory With Applications to systems and Control / Longman scientific and technical, U.K
N.U. Ahmed / 2001 / Some remarks on the dynamics of impulsive systems in Banach spaces / Dyna. of Contin., Disc. and Impul. Syst.Series A 8:261~274
N. U. Ahmed / 2003 / Impulsive evolution equations in infinite dimensional spaces / Dyna. of Contin., Disc. and Impul. Syst.Series A 10:11~24
N.U. Ahmed / 2014 / Some Recent Developments in Systems and Control Theory on Infinite Dimensional Banach Spaces: Part 1 (Part 2) , Optimization and Control Techniques and Applications / Springer
N.U. Ahmed / Measure Driven Nonlinear Dynamic Systems with Applications to Optimal Impulsive Controls
N.U. Ahmed / 2001 / Some remarks on the dynamics of impulsive systems in Banach spaces / Dyna. of Contin., Disc. and Impul. Syst.Series A 8:261~274
N. U. Ahmed / 2003 / Impulsive evolution equations in infinite dimensional spaces / Dyna. of Contin., Disc. and Impul. Syst.Series A 10:11~24
N.U. Ahmed / 2014 / Some Recent Developments in Systems and Control Theory on Infinite Dimensional Banach Spaces: Part 1 (Part 2) , Optimization and Control Techniques and Applications / Springer
N.U. Ahmed / Measure Driven Nonlinear Dynamic Systems with Applications to Optimal Impulsive Controls
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