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Elimination of delay-free loops in discrete-time models of ...

    https://people.eecs.berkeley.edu/~chua/papers/Borin00.pdf#:~:text=Abstract%E2%80%94Nonlinear%20acoustic%20systems%20are%20often%20described%20bymeans%20of,and%20accurate%20simulations%20evenat%20relatively%20low%20sampling%20rates.
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Discrete-Time Models For Nonlinear Audio Systems

    https://www.researchgate.net/publication/2462820_Discrete-Time_Models_For_Nonlinear_Audio_Systems
    Download Citation | Discrete-Time Models For Nonlinear Audio Systems | A variety of computational models have been proposed for digital simulation of nonlinear systems with memory [1, 2, 3, 4].

CiteSeerX — Discrete-Time Models For Nonlinear Audio …

    https://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.33.7631
    nonlinear audio system discrete-time model related volterra kernel required coefficient straightforward method common approach digital simulation tube amp different aspect digital music reproduction multi-dimensional laguerre transformation inefficient wiener representation digital signal processor fast convolution algorithm discrete-time realization unknown …

Discrete-Time Systems Discrete-Time Systems: Examples

    https://web.njit.edu/~akansu/Ch2(2)Handouts_3e.pdf
    Nonlinear Discrete-Time System • The median filter described earlier is a nonlinear discrete-time system • To show this, consider a median filter with a window of length 3 …

Elimination of delay-free loops in discrete-time models of ...

    https://people.eecs.berkeley.edu/~chua/papers/Borin00.pdf
    Abstract— Nonlinear acoustic systems are often described by means of nonlinear maps acting as instantaneous constraints on the solutions of a system of linear differential equations. This de-scription leads to discrete-time models exhibiting noncomputable loops. We present a solution to this computability problem by

Nonlinear discrete-time systems with ... - ScienceDirect

    https://www.sciencedirect.com/science/article/pii/S0167691118300288
    In this work, the notion of reduction is introduced for discrete-time nonlinear input-delayed systems. The retarded dynamics is reduced to a new system which is free of delays and equivalent (in terms of stabilizability) to the original one. Different stabilizing strategies are proposed over the reduced model.

Discrete Time Approximation for Nonlinear Continuous Systems

    https://thesai.org/Downloads/Volume7No5/Paper_58-Discrete_Time_Approximation_for_Nonlinear_Continuous_Systems.pdf
    time system model, followed by a digital redesign of the controller in the discrete time domain to approximate the performance of the original continuous time controller. Second, a direct digital design approach can be followed based on a ... Discrete-Time Approximation for Nonlinear Continuous Systems with Time Delays ...

Discrete-Time Nonlinear Control Systems | SpringerLink

    https://link.springer.com/chapter/10.1007/978-1-4757-2101-0_14
    Most commonly discrete-time nonlinear systems appear as the discretization of continuous time nonlinear systems. Keywords Equilibrium Point State Feedback Librium Point Characteristic Number Static State Feedback These keywords were added by machine and not by the authors.

Nonlinear discrete-time models: state-space vs. I/O ...

    https://www.sciencedirect.com/science/article/pii/S0959152403001033
    More precisely, this paper considers the discrete-time state-space models: (1) x (k+1)= f ( x (k), u k ), y k = g ( x (k), u k ), where x (k)∈R n represents the state of the system at time k, u k is a vector of m inputs, and y k is a vector of r system responses. The nonlinear input–output models considered here are a variant [21] of the ...

Discrete-time linear systems - IMT School for Advanced ...

    http://cse.lab.imtlucca.it/~bemporad/teaching/ac/pdf/04a-TD_sys.pdf
    Lecture: Discrete-time linear systems Stability of discrete-time linear systems Equilibrium Consider the discrete-time nonlinear system § x(k+1) = f(x(k),u(k)) y(k) = g(x(k),u(k)) Definition A state xr 2Rn and an input u r 2R m are an equilibrium pair if for initial condition x(0) = xr and constant input u(k) ur, 8k 2N, the state remains constant: x(k) xr, 8k 2N Equivalent

(PDF) Distortion Modeling of Nonlinear Systems using ...

    https://www.researchgate.net/publication/334812266_Distortion_Modeling_of_Nonlinear_Systems_using_Ramped-Sines_and_Lookup_Tables
    PDF | Nonlinear systems identification is used to synthesize black-box models of nonlinear audio effects and as such is a widespread topic of interest... | Find, read and cite all the research you ...

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