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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: 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: 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 Citation - WoS: 55Elimination of Overflow Oscillations in Fixed-Point State-Space Digital Filters With Saturation Arithmetic: an Lmi Approach(Ieee-inst Electrical Electronics Engineers inc, 2004) Kar, H; Singh, VA novel, linear-matrix inequality (LMI) based, criterion for the nonexistence of overflow oscillations in fixed-point state-space digital filter employing saturation arithmetic is presented. The criterion is based on a unique characterization (as prevailing in the filter under consideration) of the saturation nonlinearities, namely, an "effective" reduction of the sector.Letter Citation - WoS: 29Citation - Scopus: 32Stability Analysis of 2-D Digital Filters With Saturation Arithmetic: an Lmi Approach(Ieee-inst Electrical Electronics Engineers inc, 2005) Kar, H; Singh, VAn 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].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.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: 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.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.
