Browsing by Subject "Finite dimensional systems"

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    Decentralized stabilization: characterization of all solutions and genericity aspects
    (Taylor & Francis, 1992) Ünyelioğlu, Konur Alp; Özgüler, Arif Bülent
    Electrical and The decentralized stabilization problem of multivariable finite-dimensional systems is considered in a fractional set-up. A new synthesis procedure for decentralized stabilizing compensators is proposed. The class of all admissible local compensators that can be applied to a specified channel as an element of a decentralized compensator is identified. The conditions under which the class of admissible local compensators is generic are investigated. The problem of making a multi-channel system stabilizable and detectable from a single channel applying decentralized feedback around the other channels has been shown to be generically solvable for a given set of dynamic compensators if and only if the plant is strongly connected.
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    Stability analysis of systems with distributed delays and application to hematopoietic cell maturation dynamics
    (IEEE, 2008-12) Özbay, Hitay; Bonnet, C.; Clairambault, J.
    We consider linear systems with distributed delays where delay kernels are assumed to be finite duration impulse responses of finite dimensional systems. We show that stability analysis for this class of systems can be reduced to stability analysis of linear systems with discrete delays, for which many algorithms are available in the literature. The results are illustrated on a mathematical model of hematopoietic cell maturation dynamics. © 2008 IEEE.