J. Śmieja, A. Świerniak, and A. Polański (Poland)
: Infinite dimensional systems, stability, biomedical modeling.
This paper is devoted to a particular aspect of stability of infinite dimensional positive systems. The model under consideration is described by an infinite dimensional state equation with particular system matrix. After introducing the model, the meaning of practical stability, defined as convergence to zero of the state equation solution for a certain space of initial conditions, is explained. Afterwards, the asymptotic analysis of the system is presented. Its results are subsequently used in combination with appropriate version of Nyquist theorem to find the stability conditions. Additionally, stabilizability of the model is discussed. Theoretical approach is illustrated by an application stemming from biomedical modelling.
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