贵州大学学报（自然科学版）
貴州大學學報（自然科學版）
귀주대학학보（자연과학판）
JOURNAL OF GUIZHOU UNIVERSITY(NATURAL SCIENCE)
2010年
3期
6-9,12
,共5页
时标%Lebesgue Δ-积分%弱解%最优控制%存在性
時標%Lebesgue Δ-積分%弱解%最優控製%存在性
시표%Lebesgue Δ-적분%약해%최우공제%존재성
time scales%Lebesgue%Δ-integral%weak solution%optimal control%existence
主要给出了时标上线性动力方程所决定的一类Lagrange问题最优控制的存在性.控制函数空间包括自反和非自反两种情形,并给出了在非自反空间中较易验证的弱紧性条件.
主要給齣瞭時標上線性動力方程所決定的一類Lagrange問題最優控製的存在性.控製函數空間包括自反和非自反兩種情形,併給齣瞭在非自反空間中較易驗證的弱緊性條件.
주요급출료시표상선성동력방정소결정적일류Lagrange문제최우공제적존재성.공제함수공간포괄자반화비자반량충정형,병급출료재비자반공간중교역험증적약긴성조건.
A class of optimal control problem of systems governed by the linear dynamic equations on time scales was studed. For the control spaces, two cases were considered: reflexive space and non-reflexive space. At the same time, the condition of weak compactness which is easier to verify was also given in non-reflexive space.
