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Publisher: Pergamon-elsevier Science LtdSubject: Lyapunov method

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Now showing 1 - 5 of 5
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    Citation - WoS: 25
    Citation - Scopus: 31
    Modified Criterion for Global Asymptotic Stability of Fixed-Point State-Space Digital Filters Using Two's Complement Arithmetic
    (Pergamon-elsevier Science Ltd, 2010) Singh, Vimal
    A criterion for the global asymptotic stability of fixed-point state-space digital filters using two's complement arithmetic is presented. The criterion is a modified form of a well-known criterion due to Mills, Mullis, and Roberts. The criterion is in the form of linear matrix inequality and, hence, computationally tractable. An example shows the effectiveness of the modified criterion. (C) 2009 Elsevier Ltd. All rights reserved.
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    Article
    Citation - WoS: 5
    Citation - Scopus: 5
    2-D Digital Filter Realization Without Overflow Oscillations
    (Pergamon-elsevier Science Ltd, 2013) Singh, Vimal
    A novel criterion for the elimination of overflow oscillations in 2-D state-space digital filters described by the Roesser model employing two's complement overflow arithmetic is presented. The criterion takes the form of linear matrix inequality (LMI) and, hence, is computationally tractable. The criterion is a generalization and improvement over an earlier criterion. An example shows the effectiveness of the new criterion. (C) 2012 Elsevier Ltd. All rights reserved.
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    Article
    Citation - WoS: 16
    Citation - Scopus: 16
    Elimination of Overflow Oscillations in Direct Form Digital Filters Using Saturation Arithmetic
    (Pergamon-elsevier Science Ltd, 2008) Singh, Vimal
    A novel frequency-domain criterion for the elimination of limit cycles in a class of digital filters using saturation arithmetic is presented. An example showing the effectiveness of the present criterion is given. (C) 2008 Elsevier Ltd. All rights reserved.
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    Article
    Citation - WoS: 33
    Citation - Scopus: 36
    Stability Analysis of a Class of Digital Filters Utilizing Single Saturation Nonlinearity
    (Pergamon-elsevier Science Ltd, 2008) Singh, Vimal
    A novel criterion for the global asymptotic stability of a class of digital filters utilizing single saturation nonlinearity is presented. An example showing the effectiveness of the present criterion is given. (c) 2007 Elsevier Ltd. All rights reserved.
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    Citation - WoS: 26
    Citation - Scopus: 27
    Stability of Discrete-Time Systems Joined With a Saturation Operator on the State-Space: Generalized Form of Liu-michel's Criterion
    (Pergamon-elsevier Science Ltd, 2011) Singh, Vimal
    A novel criterion for the global asymptotic stability of discrete-time systems in a state-space realization using saturation arithmetic was previously given by Liu and Michel. In their approach, as in most (or probably all) existing approaches, the matrix P is assumed to be symmetric. In this communique, it is shown that their approach is such as to be extended to allow the use of an unsymmetric matrix P. Taking note of this, a more general form of their criterion is presented. A modified form of the criterion is also presented. Examples show the effectiveness of the generalized approach. To the best of author's knowledge, this communique is the first report of exploiting an unsymmetric P to obtain a stability condition with reduced conservatism. (C) 2011 Elsevier Ltd. All rights reserved.