Controllability of infinite dimensional dynamical systems

  • Jerzy Klamka
III Optimal Control III.1 Control Problems
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 180)


Reflexive Banach Space Approximate Controllability Flexible Beam Positive Basis Compact Resolvent 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Brammer R.F.,"Controllability in linear autonomous systems with positive controllers", SIAM J.Control and Optimization,vol.10,no.2,1972,pp.339–353.zbMATHCrossRefMathSciNetGoogle Scholar
  2. [2]
    Heymann M.,and Stern R.,"Controllability of linear systems with positive controls: geometric considerations", J.Mathematical Analysis and Applications,vol.52,no.1,1975,pp.36–41.zbMATHCrossRefMathSciNetGoogle Scholar
  3. [3]
    Narukawa K.,"Admissible controllability of vibrating systems with constrained controls", SIAM J. Control and Optimization,vol.20,no.6,1982,pp.770–782.zbMATHCrossRefMathSciNetGoogle Scholar
  4. [4]
    Narukawa K.,"Complete controllability of one-dimensional vibrating systems with bang-bang controls", SIAM J. Control and Optimization,vol.22,no.5,1984,pp.788–804.zbMATHCrossRefMathSciNetGoogle Scholar
  5. [5]
    Pandolfi L.,"Linear control systems: controllability with constrained controls", J.Optimization Theory and Applications,vol.19,no.4,1976,pp.577–585.zbMATHCrossRefMathSciNetGoogle Scholar
  6. [6]
    Petersen I.,and Barmish B.,"On certain controllability gap", SIAM J. Control and Optimization,vol.21,no.1,1983,pp.86–94.zbMATHCrossRefMathSciNetGoogle Scholar
  7. [7]
    Sakawa Y.,"Feedback control of second order evolution equations with damping", SIAM J. Control and Optimization,vol.22,no.3,1984,pp.343–361.zbMATHCrossRefMathSciNetGoogle Scholar
  8. [8]
    Sakawa Y.,"Feedback control of second-order evolution equations with unbounded observation", International Journal of Control,vol.41,no.3,1985,pp.717–731.zbMATHCrossRefMathSciNetGoogle Scholar
  9. [9]
    Saperstone S.H.,"Global controllability of linear systems with positive controls", SIAM J. Control,vol.11,no.3,1973,pp.417–423.zbMATHCrossRefMathSciNetGoogle Scholar
  10. [10]
    Saperstone S.H.,and Yorke J.A.,"Controllability of linear oscillatory systems using positive controls", SIAM J. Control,vol.9,no.2,1971,pp.253–262.zbMATHCrossRefMathSciNetGoogle Scholar
  11. [11]
    Schmitendorf W.,and Barmish B.,"Null controllability of linear systems with constrained controls", SIAM J. Control and Optimization,vol.18,no.4,1980,pp.327–345.zbMATHCrossRefMathSciNetGoogle Scholar
  12. [12]
    Son N.K.,"A unified approach to constrained approximate controllability for the heat equations and the retarded equtions", J. Mathematical Analyisis and Applications,vol.150,no.1,1990,pp.1–19.zbMATHCrossRefMathSciNetGoogle Scholar
  13. [13]
    Triggiani R.,"Extensions of rank conditions for controllability and observability in Banach space and unbounded operators", SIAM J. Control,vol.14,no.2,1976,pp.313–338.zbMATHCrossRefMathSciNetGoogle Scholar
  14. [14]
    Triggiani R.,"Controllability and observability in Banach space with bounded operators", SIAM J. Control,vol.13,no.2,1975,pp.462–491.CrossRefMathSciNetGoogle Scholar
  15. [15]
    Triggiani R.,"On the relationship between first and second order controllable systems in Banach spaces", SIAM J.Control and Optimization,vol.16,no.6,1978,pp.847–859.zbMATHCrossRefMathSciNetGoogle Scholar

Copyright information

© International Federation for Information Processing 1992

Authors and Affiliations

  • Jerzy Klamka
    • 1
  1. 1.Institute of Control EngineeringTechnical UniversityGliwicePoland

Personalised recommendations