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Author: Kar, HSubject: Lyapunov methods

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Now showing 1 - 3 of 3
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    Article
    Citation - WoS: 59
    Citation - Scopus: 66
    Robust Stability of 2-D Discrete Systems Described by the Fornasini-Marchesini Second Model Employing Quantization/Overflow Nonlinearities
    (Ieee-inst Electrical Electronics Engineers inc, 2004) Kar, H; Singh, V
    New criteria for the global asymptotic stability of the uncertain two-dimensional (2-D) discrete systems described by the Fornasini-Marchesini second local state-space model under various combinations of overflow and quantization nonlinearities are established. Sufficient conditions for the uncertain 2-D discrete systems to be free of overflow oscillations under a generalized overflow arithmetic are presented.
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    Letter
    Citation - WoS: 29
    Citation - Scopus: 32
    Stability Analysis of 2-D Digital Filters With Saturation Arithmetic: an Lmi Approach
    (Ieee-inst Electrical Electronics Engineers inc, 2005) Kar, H; Singh, V
    An improved LMI-based criterion for the nonexistence of overflow oscillations in two-dimensional (2-D) digital filters described by the Roesser model employing saturation arithmetic is presented. The criterion makes use of the structural properties (as prevailing in the system under consideration) of the saturation nonlinearities in a greater detail than the usual sector restriction [0, 1].
  • Thumbnail Image
    Letter
    Citation - WoS: 58
    Citation - Scopus: 68
    Stability of 2-D Systems Described by the Fornasini-Marchesini First Model
    (Ieee-inst Electrical Electronics Engineers inc, 2003) Kar, H; Singh, V
    A sufficient condition for the stability of linear two-dimensional (2-D) systems described by the Fornasini-Marchesini (FM) first model is presented. The condition is compared with previously reported conditions.