Applied Mathematics and Optimization

, Volume 14, Issue 1, pp 173–185 | Cite as

Linear periodic control systems: Controllability with restrained controls

  • Nguyen Khoa Son
  • Nguyen Van Su


Consider the problem of null-controllability for a linear non-autonomous system of the form\(\dot x(t) = A(t)x(t) + B(t)u(t),x(t)\varepsilon X,u(t)\varepsilon \Omega \subset U\), whereX andU are Banach spaces,A(t) andB(t) are linear bounded operators for eacht ≥ 0, and Ω is a subset containing 0 (but not necessarily as an interior point). Some necessary and sufficient conditions for local and global null-controllability are proved whenA(·) andB(·) are periodic continuous functions. The proofs of the main results are based on discretization and on consideration of the corresponding linear discrete-time systems.


Control System Banach Space Continuous Function System Theory Mathematical Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag New York Inc. 1986

Authors and Affiliations

  • Nguyen Khoa Son
    • 1
  • Nguyen Van Su
    • 2
  1. 1.Center for Applied Systems AnalysisHanoiVietnam
  2. 2.Institute of MathematicsHanoiVietnam

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