Modified Criterion for Global Asymptotic Stability of Fixed-Point State-Space Digital Filters Using Two's Complement Arithmetic

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2010

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Pergamon-elsevier Science Ltd

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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

A criterion for the global asymptotic stability of fixed-point state-space digital filters using two's complement arithmetic is presented. The criterion is a modified form of a well-known criterion due to Mills, Mullis, and Roberts. The criterion is in the form of linear matrix inequality and, hence, computationally tractable. An example shows the effectiveness of the modified criterion. (C) 2009 Elsevier Ltd. All rights reserved.

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Asymptotic stability, Digital filters, Discrete-time dynamical systems, Finite word length effects, Lyapunov method, Nonlinear systems

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Volume

46

Issue

2

Start Page

475

End Page

478

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https://doi.org/10.1016/j.automatica.2009.11.022
 https://hdl.handle.net/20.500.14411/1481

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