Lmi Approach To Stability of a Class of Discrete-Time Systems Using Two's Complement Arithmetic

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Abstract

systematic 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.

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Keywords

Asymptotic stability, Discrete-time dynamical system, Digital filter, Finite word length effect, Limit cycle, Lyapunov method, Asymptotic stability in control theory, asymptotic stability, limit cycle, Discrete-time control/observation systems, Lyapunov method, digital filter, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, discrete-time dynamical system, finite word length effect

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0209 industrial biotechnology, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology

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6

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217

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6

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2877

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2882

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Scopus : 7

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7

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5

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