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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: 7Citation - Scopus: 8Some Remarks on Global Asymptotic Stability of Neural Networks With Constant Time Delay(Pergamon-elsevier Science Ltd, 2007) Singh, VimalAn elegant proof of a previously reported criterion for the uniqueness and global asymptotic stability of the equilibrium point of a class of neural networks with constant time delay is presented. The present proof yields some interesting observations. (c) 2005 Elsevier Ltd. All rights reserved.Article Citation - WoS: 25Citation - Scopus: 31Modified Criterion for Global Asymptotic Stability of Fixed-Point State-Space Digital Filters Using Two's Complement Arithmetic(Pergamon-elsevier Science Ltd, 2010) Singh, VimalA criterion for the global asymptotic stability of fixed-point state-space digital filters using two's complement arithmetic is presented. The criterion is a modified form of a well-known criterion due to Mills, Mullis, and Roberts. The criterion is in the form of linear matrix inequality and, hence, computationally tractable. An example shows the effectiveness of the modified criterion. (C) 2009 Elsevier Ltd. All rights reserved.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: 8Citation - Scopus: 9Modified Lmi Condition for the Realization of Limit Cycle-Free Digital Filters Using Saturation Arithmetic(Pergamon-elsevier Science Ltd, 2007) Singh, VimalA criterion in the form of linear matrix inequality for the elimination of limit cycles in a class of state-space digital filters using saturation arithmetic is presented. The criterion is a modified form of a previously reported criterion. (c) 2005 Elsevier Ltd. All rights reserved.Article Citation - WoS: 34Citation - Scopus: 37Stability 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: 16Citation - Scopus: 16Elimination of Overflow Oscillations in Direct Form Digital Filters Using Saturation Arithmetic(Pergamon-elsevier Science Ltd, 2008) Singh, VimalA novel frequency-domain criterion for the elimination of limit cycles in a class of digital filters using saturation arithmetic is presented. An example showing the effectiveness of the present criterion is given. (C) 2008 Elsevier Ltd. All rights reserved.Editorial Citation - WoS: 4Citation - Scopus: 4Comments on "global Robust Stability of Delayed Neural Networks"(Ieee-inst Electrical Electronics Engineers inc, 2006) Singh, VA recently reported result concerning the global robust stability of the equilibrium point of Hopfield-type delayed neural networks is revisited. It is shown that the result is not always right.Article Citation - WoS: 8Citation - Scopus: 7Simplified Approach To the Exponential Stability of Delayed Neural Networks With Time Varying Delays(Pergamon-elsevier Science Ltd, 2007) Singh, VimalSufficient conditions in the form of linear matrix inequalities for the exponential stability of the equilibrium point for delayed neural networks with time varying delays are presented. The conditions turn out to be greatly simplified versions of the exponential stability results previously reported by Yucel and Arik. A distinct feature of the present criteria is that they are free of the degree of exponential stability. This feature makes the criteria computationally very attractive. (c) 2005 Elsevier Ltd. All rights reserved.Article Citation - WoS: 19Citation - Scopus: 22Improved Lmi-Based Criterion for Global Asymptotic Stability of 2-D State-Space Digital Filters Described by Roesser Model Using Two's Complement Arithmetic(Academic Press inc Elsevier Science, 2012) Singh, VimalAn LMI-based criterion for the global asymptotic stability of 2-D state-space digital filters described by the Roesser model employing two's complement overflow arithmetic is presented. Under a certain assumption, the criterion turns out to be an improvement over a criterion due to El-Agizi and Fahmy pertaining to two's complement arithmetic and has a form similar to a criterion due to Xiao and Hill pertaining to saturation arithmetic. Examples show the effectiveness of the new criterion. (C) 2012 Elsevier Inc. All rights reserved.
