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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: 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.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: 33Citation - Scopus: 36Improved Criterion for Global Asymptotic Stability of 2-D Discrete Systems With State Saturation(Ieee-inst Electrical Electronics Engineers inc, 2007) Singh, VimalA criterion for the global asymptotic stability of 2-D discrete systems described by the Roesser model employing state saturation arithmetic is presented. A comparison of the present criterion with the previous criteria and an illustrative example showing the effectiveness of the present criterion are given.Article Citation - WoS: 2Citation - Scopus: 4Improved 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 EngineeringA 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.Article Citation - WoS: 18Citation - Scopus: 19Elimination of Overflow Oscillations in Fixed-Point State-Space Digital Filters Using Saturation Arithmetic: an Lmi Approach(Academic Press inc Elsevier Science, 2006) Singh, VA criterion for the nonexistence of overflow oscillations in fixed-point state-space digital filters employing saturation arithmetic is presented. The criterion possesses the structure of linear matrix inequality and hence is computationally tractable. The criterion is compared with an earlier LMI-based criterion. (c) 2005 Elsevier Inc. All rights reserved.Article Citation - WoS: 21Citation - Scopus: 21Elimination of Overflow Oscillations in 2-D Digital Filters Employing Saturation Arithmetic: an Lmi Approach(Ieee-inst Electrical Electronics Engineers inc, 2005) Singh, VA computationally tractable, i.e., linear matrix inequality (LMI)-based criterion for the elimination of overflow oscillations in two-dimensional (2-D) state-space digital filters described by the Roesser model using saturation arithmetic is presented. The criterion is a generalization over an earlier LMI-based criterion.
