Induced \(l_{\infty}\) stability of fixed-point digital filters without overflow oscillations and instability due to finite word length effects
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Publication:2448005
DOI10.1186/1687-1847-2012-51zbMath1369.93516OpenAlexW2153558405WikidataQ59270647 ScholiaQ59270647MaRDI QIDQ2448005
Publication date: 29 April 2014
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1847-2012-51
(H^infty)-control (93B36) Asymptotic stability in control theory (93D20) Applications of difference equations (39A60)
Related Items (5)
A note on the induced \(l_\infty\) stability of fixed-point digital filters without overflow oscillations and instability due to finite wordlength effects ⋮ \(\ell_2 -\ell_\infty\) suppression of limit cycles in interfered digital filters with generalized overflow nonlinearities ⋮ A new realizability condition for fixed-point state-space interfered digital filters using any combination of overflow and quantization nonlinearities ⋮ Improved criterion for the elimination of overflow oscillations in digital filters with external disturbance ⋮ New passivity criterion for limit cycle oscillation removal of interfered 2D digital filters in the Roesser form with saturation nonlinearity
Uses Software
Cites Work
- Stability analysis of a class of digital filters utilizing single saturation nonlinearity
- The zero-input response of digital filters using saturation arithmetic
- Linear Matrix Inequalities in System and Control Theory
- Multiobjective output-feedback control via LMI optimization
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- CONSTRUCTIVE AND DISCRETE VERSIONS OF THE LYAPUNOV′S STABILITY THEOREM AND THE LASALLE′S INVARIANCE THEOREM
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