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Subject: limit cyclesWoS Q: Q2

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Now showing 1 - 3 of 3
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    Article
    New Criteria for Global Asymptotic Stability of Direct-Form Digital Filters Utilizing Single Saturation Nonlinearity
    (Taylor & Francis Ltd, 2011) Singh, Vimal
    A new sufficient condition in the form of a state-space criterion for global asymptotic stability of direct-form digital filters utilizing single saturation nonlinearity is presented. An alternative sufficient condition in the form of a matrix frequency-domain inequality is also presented. Examples show the effectiveness of the present criteria.
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    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    Elimination of Limit Cycles in a Class of Digital Filters Using Single Saturation Nonlinearity
    (Taylor & Francis Ltd, 2008) Singh, Vimal
    Using Lyapunov's direct method, a novel frequency-domain criterion for the elimination of limit cycles in a class of digital filters using single saturation nonlinearity is derived. The criterion turns out to be a generalization and improvement over an earlier criterion due to Kar and Singh. An example showing the effectiveness of the criterion is given. A graphical interpretation of a simplified version (involving one free parameter) of the criterion is discussed.
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    Article
    Citation - WoS: 2
    Citation - Scopus: 4
    Improved State-Space Criteron for Global Asymptotic Stability of Fixed-Point State-Space Digital Filters With Saturation Arithmetic
    (King Fahd Univ Petroleum Minerals, 2007) Singh, Vimal; Department of Mechatronics Engineering
    A state-space criterion for the global asymptotic stability of fixed-point state-space digital filters using saturation overflow arithmetic is presented. The criterion is derived by exploiting a novel structural property of the system under consideration and, hence, is quite distinct from the previous criteria. In particular, a comparison of the present criterion with an earlier criterion due to Kar and Singh is made. The comparison reveals that the present criterion is less restrictive than Kar-Singh's criterion. Two examples showing the effectiveness of the present approach are given.