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Rabah Rabah

  1. Stability, stabilizability and exact controllability of a class of linear neutral type systems.

    Ср, 10/28/2009 - 16:01 — SomNambul
    Authors: Rabah Rabah, Grigory M. Sklyar
    Subjects: Optimization and Control
    Abstract

    Linear systems of neutral type are considered using the infinite dimensional
    approach. The main problems are asymptotic, non-exponential stability, exact
    controllability and regular asymptotic stabilizability. The main tools are the
    moment problem approach, the Riesz basis of invariant subspaces and the Riesz
    basis of family of exponentials.

  2. Stability and stabilizability of mixed retarded-neutral type systems.

    Ср, 09/23/2009 - 13:19 — SomNambul
    Authors: Rabah Rabah, Grigory M. Sklyar, Pavel Yu. Barkhayev
    Subjects: Dynamical Systems
    Abstract

    We analyze the stability and stabilizability properties of mixed
    retarded-neutral type systems when the neutral term is allowed to be singular.
    Considering an operator model of the system in a Hilbert space we are
    interesting in the critical case when there exists a sequence of eigenvalues
    with real parts approaching to zero. In this case the exponential stability is
    not possible and we are studying the strong asymptotic stability property.

  3. Stability and stabilizability of mixed retarded-neutral type systems.

    Ср, 09/23/2009 - 13:19 — SomNambul
    Authors: Rabah Rabah, Grigory M. Sklyar, Pavel Yu. Barkhayev
    Subjects: Dynamical Systems
    Abstract

    We analyze the stability and stabilizability properties of mixed
    retarded-neutral type systems when the neutral term is allowed to be singular.
    Considering an operator model of the system in a Hilbert space we are
    interesting in the critical case when there exists a sequence of eigenvalues
    with real parts approaching to zero. In this case the exponential stability is
    not possible and we are studying the strong asymptotic stability property.

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