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

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2010

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Elsevier Science inc

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Department of Mechatronics Engineering
Our purpose in the program is to educate our students for contributing to universal knowledge by doing research on contemporary mechatronics engineering problems and provide them with design, production and publication skills. To reach this goal our post graduate students are offered courses in various areas of mechatronics engineering, encouraged to do research to develop their expertise and their creative side, as well as develop analysis and design skills.

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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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Asymptotic stability, Discrete-time dynamical system, Digital filter, Finite word length effect, Limit cycle, Lyapunov method

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Volume

217

Issue

6

Start Page

2877

End Page

2882

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https://doi.org/10.1016/j.amc.2010.08.023
 https://hdl.handle.net/20.500.14411/1609

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