Lmi Approach To Stability of a Class of Discrete-Time Systems Using Two's Complement Arithmetic
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Date
2010
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science inc
Open Access Color
Green Open Access
No
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No
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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.
Description
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
Fields of Science
0209 industrial biotechnology, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology
Citation
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
6
Source
Applied Mathematics and Computation
Volume
217
Issue
6
Start Page
2877
End Page
2882
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CrossRef : 2
Scopus : 7
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Mendeley Readers : 5
SCOPUS™ Citations
7
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5
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5
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