数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (3): 747-757.doi: 10.1016/S0252-9602(13)60035-1

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EXACT NULL CONTROLLABILITY OF NON-AUTONOMOUS FUNCTIONAL EVOLUTION SYSTEMS WITH NONLOCAL CONDITIONS

傅显隆|张玉   

  1. Department of Mathematics, East China Normal University, Shanghai 200241, China
  • 收稿日期:2012-01-17 出版日期:2013-05-20 发布日期:2013-05-20
  • 基金资助:

    This work is supported by NSF of China (11171110) and Shanghai Leading Academic Discipline Project (B407).

EXACT NULL CONTROLLABILITY OF NON-AUTONOMOUS FUNCTIONAL EVOLUTION SYSTEMS WITH NONLOCAL CONDITIONS

 FU Xian-Long, ZHANG Yu   

  1. Department of Mathematics, East China Normal University, Shanghai 200241, China
  • Received:2012-01-17 Online:2013-05-20 Published:2013-05-20
  • Supported by:

    This work is supported by NSF of China (11171110) and Shanghai Leading Academic Discipline Project (B407).

摘要:

In this article, by using theory of linear evolution system and Schauder fixed point theorem, we establish a sufficient result of exact null controllability for a non-autonomous functional evolution system with nonlocal conditions. In particular, the compactness condi-tion or Lipschitz condition for the function g in the nonlocal conditions appearing in various
literatures is not required here. An example is also provided to show an application of the obtained result.

关键词: Exact null controllability, nonlocal condition, linear evolution system, Schauder fixed point theorem

Abstract:

In this article, by using theory of linear evolution system and Schauder fixed point theorem, we establish a sufficient result of exact null controllability for a non-autonomous functional evolution system with nonlocal conditions. In particular, the compactness condi-tion or Lipschitz condition for the function g in the nonlocal conditions appearing in various
literatures is not required here. An example is also provided to show an application of the obtained result.

Key words: Exact null controllability, nonlocal condition, linear evolution system, Schauder fixed point theorem

中图分类号: 

  • 34K30