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On Chaotic Behavior of a Class of Linear Systems with Memristive Feedback Control

Result description

The contribution is concerned on structural properties and general features of the new ideal circuit element, a memristor. By definition, a memristor relates the charge q and the magnetic flux ? in a circuit, and complements a resistor R, a capacitor C,and an inductor L as an ingredient of ideal electrical circuits. The definition of the memristor is based solely on fundamental circuit variables, similar to the resistor, capacitor, and inductor. Unlike conventional electrical circuit elements, memristors do not belong to the class of linear time-invariant systems, because a linear time-invariant memristor is simply a conventional resistor. In the paper a special class of nonlinear feedback systems consisting of finite dimensional linear dynamical subsystems controlled by a memristance-based feedback controller with static nonlinearity is investigated.

Keywords

Memristancefeedbacknonlinearitystate space energychaotic behaviordissipation structure

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    On Chaotic Behavior of a Class of Linear Systems with Memristive Feedback Control

  • Original language description

    The contribution is concerned on structural properties and general features of the new ideal circuit element, a memristor. By definition, a memristor relates the charge q and the magnetic flux ? in a circuit, and complements a resistor R, a capacitor C,and an inductor L as an ingredient of ideal electrical circuits. The definition of the memristor is based solely on fundamental circuit variables, similar to the resistor, capacitor, and inductor. Unlike conventional electrical circuit elements, memristors do not belong to the class of linear time-invariant systems, because a linear time-invariant memristor is simply a conventional resistor. In the paper a special class of nonlinear feedback systems consisting of finite dimensional linear dynamical subsystems controlled by a memristance-based feedback controller with static nonlinearity is investigated.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    JA - Electronics and optoelectronics

  • OECD FORD branch

Result continuities

Others

  • Publication year

    2009

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Proceedings of the 13th WSEAS International Conference on Systems

  • ISBN

    978-960-474-097-0

  • ISSN

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

  • Publisher name

    WSEAS Press

  • Place of publication

    Athens

  • Event location

    Rodos Island, Greece

  • Event date

    Jul 24, 2009

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000272165400043

Basic information

Result type

D - Article in proceedings

D

CEP

JA - Electronics and optoelectronics

Year of implementation

2009