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Article Citation - WoS: 15Citation - Scopus: 17Improved Global Robust Stability of Interval Delayed Neural Networks Via Split Interval: Generalizations(Elsevier Science inc, 2008) Singh, VimaldThe problem of global robust stability of Hop field-type delayed neural networks with the intervalized network parameters is revisited. Recently, a computationally tractable, i.e., linear matrix inequality (LMI) based global robust stability criterion derived from an earlier criterion based on dividing the given interval into more that two intervals has been presented. In the present paper, generalizations, i.e., division of the given interval into m intervals (where m is an integer greater than or equal to 2) is considered and some new LMI-based global robust stability criteria are derived. It is shown that, in some cases, m = 2 may not suffice, i.e., m > 2 may be needed to realize the improvement. An example showing the effectiveness of the proposed generalization is given. The paper also provides a complete and systematic explanation of the "split interval" idea. (c) 2008 Elsevier Inc. All rights reserved.Article Citation - WoS: 4Citation - Scopus: 5Stability of Discrete-Time Systems Joined With a Saturation Operator on the State-Space: Yet Another Version of Liu-michel's Criterion(Elsevier Gmbh, 2012) Singh, VimalA novel criterion for the global asymptotic stability of fixed-point state-space digital filters using saturation arithmetic is presented. The criterion, which is basically a new version of an earlier criterion due to Liu and Michel, is a generalization and improvement over a recently reported criterion. The generalization is due to the fact that the use of even unsymmetric Lyapunov matrix P is permitted. An example illustrating the improvement realized from the present criterion is given. (C) 2011 Elsevier GmbH. All rights reserved.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: 1Citation - Scopus: 1Novel Criterion for Stability of Discrete-Time Systems in a State-Space Realization Utilizing Saturation Nonlinearities(Elsevier Science inc, 2011) Singh, VimalA new criterion for the global asymptotic stability of discrete-time systems in a state-space realization utilizing saturation nonlinearities is presented. The form of the criterion is unconventional in that it offers the flexibility of using even an unsymmetric Lyapunov matrix P. A recently reported criterion is shown to be a special case of the present criterion. An example shows the effectiveness of the new criterion. (C) 2011 Elsevier Inc. All rights reserved.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.Article Citation - WoS: 6Citation - Scopus: 6New Criterion for Stability of Discrete-Time Systems Joined With a Saturation Operator on the State-Space(Elsevier Gmbh, Urban & Fischer verlag, 2012) Singh, VimalA new criterion for the global asymptotic stability of discrete-time systems in a state-space realization using saturation arithmetic and with the coefficient matrix A fulfilling a certain condition is presented. The criterion possesses a considerable degree of freedom (free parameters) for testing the stability condition. The criterion is compared with some earlier criteria. (C) 2011 Elsevier GmbH. All rights reserved.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.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: 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.
