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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: 193Citation - Scopus: 211A Generalized Lmi-Based Approach To the Global Asymptotic Stability of Delayed Cellular Neural Networks(Ieee-inst Electrical Electronics Engineers inc, 2004) Singh, VA novel linear matrix inequality (LMI)-based criterion for the global asymptotic stability and uniqueness of the equilibrium point of a class of delayed cellular neural networks (CNNs) is presented. The criterion turns out to be a generalization and improvement over some previous criteria.Article Citation - WoS: 19Citation - Scopus: 28Obtaining Routh-Pade Approximants Using the Luus-Jaakola Algorithm(inst Engineering Technology-iet, 2005) Singh, VThe Routh-Pade approximation problem relating to the construction of a stable reduced-order (rth-order) approximant G(r)(s) for a given stable high-order (nth-order) transfer function G(s), so as to fully retain the first r time moments/Markov parameters of G(s) as well as to minimise the errors between a few subsequent time moments/Markov parameters of G(s) and those of G(r)(s), is revisited. For the solution of this problem, a novel computer-aided method based on the well known Luus-Jaakola algorithm is proposed.Article Citation - WoS: 49Citation - Scopus: 54Elimination of Overflow Oscillations in Digital Filters Employing Saturation Arithmetic(Academic Press inc Elsevier Science, 2005) Kar, H; Singh, VA criterion for the nonexistence of overflow oscillations in a class of digital filters employing saturation arithmetic is presented. The criterion is based on a novel characterization of the saturation nonlinearity (namely, the 'reduced sector' characterization) and, hence, is quite distinct from previously reported criteria. (c) 2005 Elsevier Inc. All rights reserved.Article Citation - WoS: 42Citation - Scopus: 47A Novel Global Robust Stability Criterion for Neural Networks With Delay(Elsevier Science Bv, 2005) Singh, VA criterion based on the intervalised network parameters for the global robust stability of Hopfield-type neural networks with delay is presented. The criterion is compared with an earlier criterion. (c) 2005 Elsevier B.V. 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.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: 22Citation - Scopus: 32Stability Analysis of Discrete-Time Systems in a State-Space Realisation With State Saturation Nonlinearities: Linear Matrix Inequality Approach(Iee-inst Elec Eng, 2005) Singh, VA computationally efficient linear matrix inequality (LMI)-based criterion for the global asymptotic stability of discrete-time systems in a state-space realisation with state saturation nonlinearities is presented. The criterion turns out to be an improved generalised version of a previously reported LMI-based criterion. The extension of the approach to a situation involving partial state saturation nonlinearities is performed.Article Citation - WoS: 116Citation - Scopus: 126Global Robust Stability of Delayed Neural Networks: an Lmi Approach(Ieee-inst Electrical Electronics Engineers inc, 2005) Singh, VNew criteria for the uniqueness and global robust stability of the equilibrium point of the interval Hopfield-type delayed neural networks are presented. The criteria possess the structure of linear matrix inequality and, hence, are computationally efficient.Article Citation - WoS: 56Elimination 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.
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