On State Estimation Approaches for Uncertain Dynamical Systems with Quadratic Nonlinearity: Theory and Computer Simulations

  • Tatiana F. Filippova
  • Elena V. Berezina
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4818)


The paper deals with the problems of state estimation for nonlinear dynamical control system described by differential equations with unknown but bounded initial condition. The nonlinear function in the right-hand part of a differential system is assumed to be of quadratic type with respect to the state variable. Basing on the well-known results of ellipsoidal calculus developed for linear uncertain systems we present the modified state estimation approaches which use the special structure of the dynamical system.


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© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Tatiana F. Filippova
    • 1
  • Elena V. Berezina
    • 1
  1. 1.Institute of Mathematics and MechanicsRussian Academy of SciencesEkaterinburgRussia

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