Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (1): 154-172.

• Articles • Previous Articles     Next Articles

Controllability of a Quasilinear System with One Control

 HE Hong-Ying, DONG Wang-Yuan**   

  1. College of Science, Huazhong Agricultural University, Wuhan 430070
  • Received:2008-12-20 Revised:2009-12-30 Online:2011-02-25 Published:2011-02-25
  • Supported by:

    国家自然科学基金(60574017)和华中农业大学``薪火''专项(2009XH005)资助

Abstract:

This work deals with a class of quasilinear systems and gives the global null controllability and approximate controllability. The key is to use an observability inequality for the linearized systems, which is established by a modified Carleman inequality obtained in this text and a fixed point theorem.

Key words: Null controllability, Approximate controllability, Quasilinear system

CLC Number: 

  • 93B05
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