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Article Citation - WoS: 14Citation - Scopus: 15Lmi Approach To the Global Robust Stability of a Larger Class of Neural Networks With Delay(Pergamon-elsevier Science Ltd, 2007) Singh, VimalSufficient conditions in the form of linear matrix inequality for the uniqueness and global asymptotic stability of the equilibrium point of a large class of uncertain neural networks with delay are presented. The conditions are based on norm-bounded uncertainties. An example is given to show the effectiveness of the obtained results. A comparison is made between the present approach and an earlier approach due to Lu, Rong and Chen. An error is corrected in an earlier publication. (c) 2006 Elsevier Ltd. All rights reserved.Article Citation - WoS: 23Citation - Scopus: 22Improved Global Robust Stability Criterion for Delayed Neural Networks(Pergamon-elsevier Science Ltd, 2007) Singh, VimalA criterion for the uniqueness and global robust stability of the equilibrium point of interval Hopfield-type delayed neural networks is presented. The criterion is a marked improvement over a recent criterion due to Cao, Huang and Qu. (c) 2005 Elsevier Ltd. All rights reserved.Article Citation - WoS: 5Citation - Scopus: 6A new frequency-domain criterion for elimination of limit cycles in fixed-point state-space digital filters using saturation arithmetic(Pergamon-elsevier Science Ltd, 2007) Singh, VimalIn [Singh V. Elimination of overflow oscillations in fixed-point state-space digital filters using saturation arithmetic. IEEE Trans Circ Syst 1990;37(6):814-8], a frequency-domain criterion for the suppression of limit cycles in fixed-point state-space digital filters using saturation overflow arithmetic was presented. The passivity property owing to the presence of multiple saturation nonlinearities was exploited therein. In the present paper, a new notion of passivity, namely, that involving the state variables is considered, thereby arriving at an entirely new frequency-domain criterion for the suppression of limit cycles in such filters. (C) 2006 Elsevier Ltd. All rights reserved.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: 1Citation - Scopus: 1Novel Frequency-Domain Criterion for Elimination of Limit Cycles in a Class of Digital Filters With Single Saturation Nonlinearity(Pergamon-elsevier Science Ltd, 2008) Singh, VimalA frequency-domain criterion for the elimination of limit cycles in a class of digital filters utilizing single saturation nonlinearity is presented. The criterion is derived by exploiting the structural properties of the system under consideration in a greater detail. A novel feature of the criterion is that it takes the form of a matrix inequality, despite the fact that there is single nonlinearity in the system. An example showing the effectiveness of the criterion is given. (c) 2006 Elsevier Ltd. All rights reserved.Article Citation - WoS: 13Citation - Scopus: 12Novel Global Robust Stability Criterion for Neural Networks With Delay(Pergamon-elsevier Science Ltd, 2009) Singh, Vimal; Sıngh, Vımal; Sıngh, Vımal; Department of Mechatronics Engineering; Department of Mechatronics EngineeringA novel criterion for the global robust stability of Hopfield-type interval neural networks with delay is presented. An example illustrating the improvement of the present criterion over several recently reported criteria is given. (C) 2008 Elsevier Ltd. All rights reserved.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: 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: 36Citation - Scopus: 34New Global Robust Stability Results for Delayed Cellular Neural Networks Based on Norm-Bounded Uncertainties(Pergamon-elsevier Science Ltd, 2006) Singh, VimalA new linear matrix inequality based approach to the uniqueness and global asymptotic stability of the equilibrium point of uncertain cellular neural networks with delay is presented. The uncertainties are assumed to be norm-bounded. A new type of Lyapunov-Krasovskii functional is employed to derive the result. (c) 2005 Elsevier Ltd. All rights reserved.Article Citation - WoS: 5Citation - Scopus: 7Global Asymptotic Stability of Neural Networks With Delay: Comparative Evaluation of Two Criteria(Pergamon-elsevier Science Ltd, 2007) Singh, VimalIn [IEEE Trans Cire Syst II 2005;52(4):181-4], a criterion for the global asymptotic stability of a class of delayed neural networks has been presented. The criterion is based on the factorization B = B(1)B(2), where B denotes the delayed connection weight matrix. In the present paper, this criterion is compared with the criterion reported in [Phys Lett A 2003;311(6):504-11]. It turns out that, as far as the case of a nonsingular matrix B, is concerned, these two criteria are one and the same. (c) 2006 Elsevier Ltd. All rights reserved.
