References in raw/Page_47.html

• Predicting Analog Circuit Performance Based on Importance of Uncertainties
  J Sun, K Potluri, JM Wang - IEICE transactions on electronics, 2010 - search.ieice.org
  ... In these works interval arithmetic and affine arithmetic were discussed for worst-case ... In addition by applying Chebyshev Affine Arithmetic (CAA) method, we are able to extract ...
  

• APPLICATIONS OF INTERVAL ANALYSIS IN COMPUTER GRAPHICS
  H Shou - search.proquest.com
  ... accurate than standard affine arithmetic, and (ii) modified affine arithmetic is always more ...
  

• Tuning PI controller in non-linear uncertain closed-loop systems with interval analysis
  JA dit Sandretto, A Chapoutot... - ... International Workshop on ..., 2015 - drops.dagstuhl.de
  ... interval analysis and particularly affine arithmetic to tighten the ... Evaluating e with affine
  

• Static analysis by abstract interpretation of numerical programs and systems, and FLUCTUAT
  E Goubault - International Static Analysis Symposium, 2013 - Springer
  ... from abstract interpretation of course [8], but also over methods from applied mathematics, most notably from the “guaranteed computations” or “interval” community (affine arithmetic [7] ...
  

• Fast fixed-point optimization of DSP algorithms
  G Caffarena, Á Fernández-Herrero, JA López... - IFIP/IEEE International ..., 2010 - Springer
  ... Also, a modification, called Quantized Affine Arithmetic (QAA), has been applied to the computation of limit cycles [19] and dynamic range analysis of quantized LTI algorithms [17]. ...
  

• 應用共識性演算法進行再生能源及負載不確定性之多區域經濟調度
  曾顥 - 2019 - airitilibrary.com
  ... Uncertain loads and renewables can be then calculated by using Affine Arithmetic models. ... models of loads and renewables which were studied by Affine Arithmetic and Monte Carlo. ...
  

• Formal approaches to analog circuit verification
  E Barke, D Grabowski, H Graeb... - ... , Automation & Test ..., 2009 - ieeexplore.ieee.org
  ... This approach (2) presents a new field entered by the application of affine arithmetic in circuit simulation [7]–[9]. Design aids for integrated circuits based on probabilistic affine forms ...
  

• Design considerations for an optimized FPGA implementation of space-vector PWM for a two-level inverter
  D Mohammadi, N Rafla... - 2016 IEEE Transportation ..., 2016 - ieeexplore.ieee.org
  ... by using affine arithmetic discussed in the next subsection. ... Affine arithmetic (AA) does not always yield a best and ... Affine arithmetic takes each uncertainty of the signal into account in ...
  

• On sound relative error bounds for floating-point arithmetic
  A Izycheva, E Darulova - 2017 Formal Methods in Computer ..., 2017 - ieeexplore.ieee.org
  ... uses affine arithmetic; ... affine arithmetic for computing both the ranges of variables and for the error bounds. In order to reduce the over-approximations introduced by affine arithmetic for ...
  

• A Truly Robust Signal Temporal Logic: Monitoring Safety Properties of Interacting Cyber-Physical Systems under Uncertain Observation
  B Finkbeiner, M Fränzle, F Kohn, P Kröger - Algorithms, 2022 - mdpi.com
  ... For the model-free as well as for the linear model-based case, we provide optimal evaluation algorithms based on affine arithmetic and SAT modulo theory, solving over linear arithmetic...