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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: 6Citation - Scopus: 8Hybrid Electrooptic and Piezoelectric Laser Beam Steering in Two Dimensions(Ieee-inst Electrical Electronics Engineers inc, 2005) Scrymgeour, DA; Koc, B; Tian, LL; Gentzel, MW; Uchino, K; Gopalan, VWith modern optical technology, there is a great demand for devices capable of steering a laser beam. at high speed. A hybrid electrooptical scanner and an electromechanical scanner capable of two-dimensional (2-D) laser beam scanning Eire demonstrated. This device can scan a laser beam in 2-D. A V scanning angle in the horizontal axis at 50 Hz using electrooptic scanning and a 5.23 degrees scanning angle in vertical axis at 25.6 kHz using piezoelectric scanning are shown.Article Citation - WoS: 64Citation - Scopus: 99Improved Routh-Pade Approximants: a Computer-Aided Approach(Ieee-inst Electrical Electronics Engineers inc, 2004) Singh, V; Chandra, D; Kar, HA geometric programming based computer-aided method to derive a reduced order (rth-order) approximant for a given (stable) SISO linear continuous-time system is presented. In this method, stability and the first r time moments/Markov parameters are preserved as well as the errors between a set of subsequent time moments/Markov parameters of the system and those of the model are minimized.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: 60Citation - Scopus: 67Robust Stability of 2-D Discrete Systems Described by the Fornasini-Marchesini Second Model Employing Quantization/Overflow Nonlinearities(Ieee-inst Electrical Electronics Engineers inc, 2004) Kar, H; Singh, V; Vimal, SinghNew criteria for the global asymptotic stability of the uncertain two-dimensional (2-D) discrete systems described by the Fornasini-Marchesini second local state-space model under various combinations of overflow and quantization nonlinearities are established. Sufficient conditions for the uncertain 2-D discrete systems to be free of overflow oscillations under a generalized overflow arithmetic are presented.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: 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: 665Citation - Scopus: 840Stability Analysis of Swarms(Ieee-inst Electrical Electronics Engineers inc, 2003) Gazi, V; Passino, KMIn this note, we specify an "individual-based" continuous-time model for swarm aggregation in n-dimensional space and study its stability properties. We show that the individuals (autonomous agents or biological creatures) will form a cohesive swarm in a finite time. Moreover, we obtain an explicit bound on the swarm size, which depends only on the parameters of the swarm model.Article Citation - WoS: 431Citation - Scopus: 576Stability Analysis of Social Foraging Swarms(Ieee-inst Electrical Electronics Engineers inc, 2004) Gazi, V; Passino, KMIn this article we specify an M-member "individual-based" continuous time swarm model with individuals that move in an n-dimensional space according to an attractant/repellent or a nutrient profile. The motion of each individual is determined by three factors: i) attraction to the other individuals on long distances; ii) repulsion from the other individuals on short distances; and iii) attraction to the more favorable regions (or repulsion from the unfavorable regions) of the attractant/repellent profile. The emergent behavior of the swarm motion is the result of a balance between inter-individual interactions and the simultaneous interactions of the swarm members with their environment. We study the stability properties of the collective behavior of the swarm for different profiles and provide conditions for collective convergence to more favorable regions of the profile.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.
