Skip to main content

Stability of semilinear systems in Hilbert spaces

  • Conference paper
  • First Online:
System Modelling and Optimization

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 84))

  • 109 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

4. References

  1. I. Segal.Non-linear semigroups.Annals of Math.1963.78.3.339–364.

    Google Scholar 

  2. A. Pazy—Semigroups of Linear Operators and Applications to PDEs. Springer.N.Y.—Berlin.1983.

    Google Scholar 

  3. J.A. Ball—On the as behavior of generalized processes with applications.J.Diff.Eqs.1978.27.2.224–265.

    Google Scholar 

  4. G.F. Webb—Compactness of bounded trajectories of dynamical systems in infinite dimension spaces.Proc.Roy.Soc.Edinb.1979.A84.19–33.

    Google Scholar 

  5. C.A.Desoer,M.Vidyasagar-Feedback Systems.Ac.Press.N.Y.1975.

    Google Scholar 

  6. L.O. Barsuk,V.A. Brusin—Stability,unboundedness and dichotomy for solutions of FED.Differencjalnyje Uravn.1977.13.9.1547–1557.

    Google Scholar 

  7. Likhtarnikov A.L-A criterion for absolute stability of nonlinear operator eqs.Izvestija ANSSSR,s.Mat.1977.41.5.1064–1083.

    Google Scholar 

  8. D. Wexler—On frequency-domain stability for evolution eqs. in H-spaces via the ARE.SIAM.J.Math.Anal.1981.11.6.969–983.

    Google Scholar 

  9. O. Lopes—Stability and forced oscillations.J.Math.Anal.Appl.1976. 55.3.686–698.

    Google Scholar 

  10. P. Grabowski—A Lyapunov functional approach to a parametric optimization problem for a class of infinite-dimensional control systems.Elektrotechnika.1983.2.3.207–232.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

A. Prékopa J. Szelezsáan B. Strazicky

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Springer-Verlag

About this paper

Cite this paper

Grabowski, P. (1986). Stability of semilinear systems in Hilbert spaces. In: Prékopa, A., Szelezsáan, J., Strazicky, B. (eds) System Modelling and Optimization. Lecture Notes in Control and Information Sciences, vol 84. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0043848

Download citation

  • DOI: https://doi.org/10.1007/BFb0043848

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16854-6

  • Online ISBN: 978-3-540-47138-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics