Vector-valued Measure and the Necessary Conditions for the Optimal Control Problems of Linear Systems
Received:December 12, 1982  
Key Words: optimal control   maximum principle   distributed parameter system   linear system   vector-valued measure.  
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Author NameAffiliation
Li Xunjing Dept. of Math., Fudan University, Shanghai, China 
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Abstract:
      The vector-valued measure defined by the well-posed linear boundary value problems is discussed. The maximum principle of the optimal control problem with non-convex constraint is proved by using the vector-valued measure. Especially, the necessary conditions of the optimal control of elliptic systems is derived without the convexity of the control domain and the cost function.
Citation:
DOI:10.3770/j.issn:1000-341X.1984.04.014
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