Julia Emelianova

    Polytechnicheskaya 77, Saratov 410054, Russia
    Saratov State Technical University

    Publications:

    Pakshin P. V., Emelianova J. P., Emelianov M. A.
    Abstract
    This paper considers the iterative learning control design problem for discrete-time systems with uncertain parameters and input saturation. To accelerate convergence of the learning process, a combination of heavy-ball methods from optimization theory and the Lyapunov vector function method for repetitive processes is proposed. An example is given, including a comparison with known results.
    Keywords: iterative learning control, discrete-time system, repetitive processes, stability, convergence, uncertain parameters, saturation, heavy-ball method, Lyapunov vector function, linear matrix inequalities
    Citation: Pakshin P. V., Emelianova J. P., Emelianov M. A.,  Robust Accelerated Iterative Learning Control Design for Discrete-Time Systems with Input Saturation, Rus. J. Nonlin. Dyn., 2026, Vol. 22, no. 3, pp.  677-692
    DOI:10.20537/nd260904
    Emelianova J. P., Mosekilde E., Kuznetsov A. P., Laugesen J. L.
    Abstract
    Nephrons (functional units of the kidney) may be described by means of the system of order differential equations. This provides an opportunity to describe dynamics of both the individual and coupled nephrons by using the theory of dynamical systems and the bifurcation theory. Considering a model of a pair of vascular coupled nephrons the present paper examines the effect that the non-identity of nephrons, i. e. non-identity of peak-to-peak variations in their arteriolar radii in autonomous state, has on the behavior of the coupled system. We investigate the appearance possibility of so-called broadband synchronization region, where the stronger nephron starts to suppress the autonomous oscillations of the weaker nephron. We investigate also the appearance possibility of the regime of total oscillator death, where oscillations of both nephrons are abolished.
    Keywords: coupled nephrons, total oscillator death, broadband synchronization
    Citation: Emelianova J. P., Mosekilde E., Kuznetsov A. P., Laugesen J. L.,  Dynamics of coupled nephrons and broadband synchronization, Rus. J. Nonlin. Dyn., 2012, Vol. 8, No. 5, pp.  875-896
    DOI:10.20537/nd1205002

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