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Article Citation - WoS: 14Citation - Scopus: 15Global asymptotic stability of 2-D state-space digital filters with saturation arithmetic: Modified approach(Elsevier Science Bv, 2008) Singh, VimalA criterion for the global asymptotic stability of 2-D state-space digital filters described by the Roesser model employing state saturation arithmetic is presented. The criterion is a modified form of a recently reported criterion. An example shows the effectiveness of the modified criterion. (C) 2007 Elsevier B.V. All rights reserved.Article Citation - WoS: 42Citation - Scopus: 47Modified Form of Liu-michel's Criterion for Global Asymptotic Stability of Fixed-Point State-Space Digital Filters Using Saturation Arithmetic(Ieee-inst Electrical Electronics Engineers inc, 2006) Singh, VimalA criterion for the global asymptotic stability of fixed-point state-space digital filters using saturation arithmetic was previously given by Liu and Michel. A modified form of their criterion is presented.Article Citation - WoS: 20Citation - Scopus: 21On Global Asymptotic Stability of 2-D Discrete Systems With State Saturation(Elsevier Science Bv, 2008) Singh, VimalA criterion for the global asymptotic stability of 2-D discrete systems described by the Roesser model employing state saturation nonlinearities is presented. The criterion is a less restrictive version of an earlier criterion due to Liu and Michel. (C) 2008 Elsevier B.V. All rights reserved.Article Citation - WoS: 1Citation - Scopus: 1Elimination of Limit Cycles in a Class of Digital Filters Using Single Saturation Nonlinearity(Taylor & Francis Ltd, 2008) Singh, VimalUsing 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.Article Citation - WoS: 26Citation - Scopus: 31New Lmi Condition for the Nonexistence of Overflow Oscillations in 2-D State-Space Digital Filters Using Saturation Arithmetic(Academic Press inc Elsevier Science, 2007) Singh, VimalA new criterion for the nonexistence of overflow oscillations in 2-D state-space digital filters described by Roesser model using saturation arithmetic is presented. The criterion is in the form of a linear matrix inequality (LMI) and hence computationally tractable. The criterion is compared with an earlier LMI-based criterion due to Xiao and Hill. It turns out that the present criterion may uncover some new A (i.e., other than those arrived at via Xiao-Hill's criterion) for which the absence of overflow oscillations is assured. (c) 2006 Elsevier Inc. All rights reserved.Article Citation - WoS: 49Citation - Scopus: 54Elimination of Overflow Oscillations in Digital Filters Employing Saturation Arithmetic(Academic Press inc Elsevier Science, 2005) Kar, H; Singh, VA criterion for the nonexistence of overflow oscillations in a class of digital filters employing saturation arithmetic is presented. The criterion is based on a novel characterization of the saturation nonlinearity (namely, the 'reduced sector' characterization) and, hence, is quite distinct from previously reported criteria. (c) 2005 Elsevier Inc. All rights reserved.Article Citation - WoS: 25Citation - Scopus: 27Robust stability of 2-D digital filters employing saturation(Ieee-inst Electrical Electronics Engineers inc, 2005) Singh, VA computationally tractable, i.e., linear matrix inequality (LMI)-based criterion for the global asymptotic stability of uncertain two-dimensional digital filters described by the Fornasini-Marchesini second local state-space model with saturation overflow arithmetic is presented. The criterion is compared with an earlier LMI-based criterion.Article Citation - WoS: 33Citation - Scopus: 36Stability Analysis of a Class of Digital Filters Utilizing Single Saturation Nonlinearity(Pergamon-elsevier Science Ltd, 2008) Singh, VimalA 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.Article Citation - WoS: 59Citation - Scopus: 66Robust 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, VNew 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.Article New Criteria for Global Asymptotic Stability of Direct-Form Digital Filters Utilizing Single Saturation Nonlinearity(Taylor & Francis Ltd, 2011) Singh, VimalA 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.
