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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: 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: 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: 24Citation - Scopus: 25Lmi Approach To Stability of Direct Form Digital Filters Utilizing Single Saturation Overflow Nonlinearity(Ieee-inst Electrical Electronics Engineers inc, 2007) Singh, VimalA criterion for the elimination of limit cycles in direct form digital filters utilizing single saturation overflow nonlinearity is presented. The criterion takes the form of linear matrix inequality and, hence, is computationally tractable. An example showing the effectiveness of the present criterion is given.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: 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: 63Citation - Scopus: 70Stability Analysis of 2-D Discrete Systems Described by the Fornasini-Marchesini Second Model With State Saturation(Ieee-inst Electrical Electronics Engineers inc, 2008) Singh, VimalA criterion for the global asymptotic stability of 2-D discrete systems described by the Fornasini-Marchesini second local state-space model employing state saturation arithmetic is presented. An example shows the effectiveness of the present criterion.Letter Citation - WoS: 58Citation - Scopus: 68Stability of 2-D Systems Described by the Fornasini-Marchesini First Model(Ieee-inst Electrical Electronics Engineers inc, 2003) Kar, H; Singh, VA 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.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.
