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Partial disturbance decoupling problem for structured transfer matrix systems by measurement feedback

Ulviye Başer (1999)

Kybernetika

Partial disturbance decoupling problems are equivalent to zeroing the first, say k Markov parameters of the closed-loop system between the disturbance and controlled output. One might consider this problem when it is not possible to zero all the Markov parameters which is known as exact disturbance decoupling. Structured transfer matrix systems are linear systems given by transfer matrices of which the infinite zero order of each nonzero entry is known, while the associated infinite gains are unknown...

Pipelined architectures for the Frequency Domain linear equalizer

George Glentis, Kristina Georgoulakis (2006)

International Journal of Applied Mathematics and Computer Science

In this paper, novel pipelined architectures for the implementation of the frequency domain linear equalizer are presented. The Frequency Domain (FD) LMS algorithm is utilized for the adaptation of equalizer coefficients. The pipelining of the FD LMS linear equalizer is achieved by introducing an amount of time delay into the original adaptive scheme, and following proper delay retiming. Simulation results are presented that illustrate the performance of the effect of the time delay introduced into...

Realization theory methods for the stability investigation of nonlinear infinite-dimensional input-output systems

Volker Reitmann (2011)

Mathematica Bohemica

Realization theory for linear input-output operators and frequency-domain methods for the solvability of Riccati operator equations are used for the stability and instability investigation of a class of nonlinear Volterra integral equations in a Hilbert space. The key idea is to consider, similar to the Volterra equation, a time-invariant control system generated by an abstract ODE in a weighted Sobolev space, which has the same stability properties as the Volterra equation.

Stability Analysis of Cell Dynamics in Leukemia

H. Özbay, C. Bonnet, H. Benjelloun, J. Clairambault (2012)

Mathematical Modelling of Natural Phenomena

In order to better understand the dynamics of acute leukemia, and in particular to find theoretical conditions for the efficient delivery of drugs in acute myeloblastic leukemia, we investigate stability of a system modeling its cell dynamics. The overall system is a cascade connection of sub-systems consisting of distributed delays and static nonlinear feedbacks. Earlier results on local asymptotic stability are improved by the analysis of the linearized...

Transfer function computation for 3-D discrete systems

George E. Antoniou (2000)

Kybernetika

A theoretically attractive and computationally fast algorithm is presented for the determination of the coefficients of the determinantal polynomial and the coefficients of the adjoint polynomial matrix of a given three-dimensional (3–D) state space model of Fornasini–Marchesini type. The algorithm uses the discrete Fourier transform (DFT) and can be easily implemented on a digital computer.

Transfer function equivalence of feedback/feedforward compensators

Vladimír Kučera (1998)

Kybernetika

Equivalence of several feedback and/or feedforward compensation schemes in linear systems is investigated. The classes of compensators that are realizable using static or dynamic, state or output feedback are characterized. Stability of the compensated system is studied. Applications to model matching are included.

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