WoS
Permanent URI for this collectionhttps://hdl.handle.net/20.500.14411/18
Browse
57 results
Search Results
Article Citation - WoS: 11Citation - Scopus: 16New Lmi-Based Criteria for Global Robust Stability of Delayed Neural Networks(Elsevier Science inc, 2010) Singh, VimalSome novel, linear matrix inequality based, criteria for the uniqueness and global robust stability of the equilibrium point of Hopfield-type neural networks with delay are presented. A comparison of the present criteria with the previous criteria is made. (C) 2010 Elsevier Inc. All rights reserved.Editorial Citation - WoS: 4Citation - Scopus: 4Author's Reply To "comments on 'modified Criterion for Global Asymptotic Stability of Fixed-Point State-Space Digital Filters Using Two's Complement Arithmetic [automatica 46 (2010) 475-478]'"(Pergamon-elsevier Science Ltd, 2010) Singh, Vimal[No Abstract Available]Article Citation - WoS: 5Citation - Scopus: 7Lmi Approach To Stability of a Class of Discrete-Time Systems Using Two's Complement Arithmetic(Elsevier Science inc, 2010) Singh, Vimalsystematic and computationally tractable (i.e., linear matrix inequality based) approach to the global asymptotic stability of a class of discrete-time systems, implemented with fixed-point arithmetic, utilizing a very strong nonlinearity (which is produced by employing two's complement overflow arithmetic) is presented. Application of the approach to second-order digital filter is discussed. Two third-order examples illustrating the effectiveness of the approach are given. (C) 2010 Elsevier Inc. All rights reserved.Article Citation - WoS: 26Citation - Scopus: 27Stability of Discrete-Time Systems Joined With a Saturation Operator on the State-Space: Generalized Form of Liu-michel's Criterion(Pergamon-elsevier Science Ltd, 2011) Singh, VimalA novel criterion for the global asymptotic stability of discrete-time systems in a state-space realization using saturation arithmetic was previously given by Liu and Michel. In their approach, as in most (or probably all) existing approaches, the matrix P is assumed to be symmetric. In this communique, it is shown that their approach is such as to be extended to allow the use of an unsymmetric matrix P. Taking note of this, a more general form of their criterion is presented. A modified form of the criterion is also presented. Examples show the effectiveness of the generalized approach. To the best of author's knowledge, this communique is the first report of exploiting an unsymmetric P to obtain a stability condition with reduced conservatism. (C) 2011 Elsevier Ltd. All rights reserved.Article New Criteria for Global Asymptotic Stability of Direct-Form Digital Filters Utilizing Single Saturation Nonlinearity(Taylor & Francis Ltd, 2011) Singh, VimalA new sufficient condition in the form of a state-space criterion for global asymptotic stability of direct-form digital filters utilizing single saturation nonlinearity is presented. An alternative sufficient condition in the form of a matrix frequency-domain inequality is also presented. Examples show the effectiveness of the present criteria.Letter Citation - WoS: 3Citation - Scopus: 3Global Robust Stability of Interval Delayed Neural Networks: Modified Approach(Wiley, 2009) Singh, VimalA criterion for the global robust stability of Hopfield-type delayed neural networks with the intervalized network parameters is presented. The criterion, which is derived by utilizing the idea of splitting the given interval into two intervals, is in the form of linear matrix inequality and, hence, computationally tractable. The criterion yields a less conservative condition compared with many recently reported criteria, as is demonstrated with an example. Copyright (C) 2008 John Wiley & Sons, Ltd.Article Citation - WoS: 11Citation - Scopus: 11Modified Criteria for Global Robust Stability of Interval Delayed Neural Networks(Elsevier Science inc, 2009) Singh, VimalTwo simple criteria for global robust stability of Hopfield-type interval neural networks with delay are presented. The criteria turn out to be modified versions of an earlier criterion due to Cao, Huang, and Qu. Examples show the effectiveness of the modified criteria. Numerical simulations are carried out to confirm the applicability of the modified criteria. (C) 2009 Elsevier Inc. 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: 2Citation - Scopus: 4Modified 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: 34Citation - Scopus: 38Discussion on Barkhausen and Nyquist Stability Criteria(Springer, 2010) Singh, VimalMost textbooks on analog circuits and signal processing describe the Barkhausen criterion pertaining to the determination of sinusoidal oscillations in a closed-loop system. On the other hand, the Nyquist stability criterion is well known, as discussed in most textbooks on control systems. Recently, some examples in which the Barkhausen criterion fails to produce the correct condition for startup of oscillations have been reported. In the present paper, an explanation of oscillation startup based on the Nyquist stability criterion is given and the close relationship between the Barkhausen and the Nyquist criteria highlighted. It is shown that the Nyquist criterion (which is a rigorous technique) is a more robust approach than the Barkhausen criterion concerning the determination of sinusoidal oscillations in a closed-loop system and that the Barkhausen criterion (whenever it yields the correct result) is subsumed by the Nyquist criterion as a special case. The textbooks usually describe the Barkhausen criterion as a separate topic, i.e., do not discuss the relationship of this criterion with the Nyquist criterion. It is, therefore, felt that the present discussion will go a long way to put the subject in a broader perspective.