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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: 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: 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: 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.
