References in raw/Page_57.html

• Floating-point to fixed-point transformation using extreme value theory
  L Zhang, Y Zhang, W Zhou - 2009 Eighth IEEE/ACIS ..., 2009 - ieeexplore.ieee.org
  ... Range results obtained by 108 random generated simulations and analytical method in [4], which uses Affine Arithmetic (AA) to analyze integer and fractional bit-widths, are listed in ...
  

• Fast and accurate computation of the round-off noise of linear time-invariant systems
  JALGCC Carreras, O Nieto-Taladriz - 2008 - academia.edu
  ... Abstract: From its introduction in the last decade, affine arithmetic (AA) has shown beneficial properties to speed up the time of computation procedures in a wide variety of areas. In the ...
  

• Interval Arithmetic
  JM Muller, N Brunie, F Dinechin, CP Jeannerod... - Handbook of Floating ..., 2018 - Springer
  ... Several variants of interval arithmetic have been developed to cure the variable dependency problem, such as affine arithmetic or Taylor models. They will be briefly explained in ...
  

• A critical Review on distributed generation planning in Distribution Networks
  B Singh, A Prasad, A Pratap... - ... on Electrical and ..., 2020 - ieeexplore.ieee.org
  This paper shows the study on coordinated management of various kinds of distributed generations (DGs) like DG1, DG2, DG3 and DG4 in distribution networks with static and realistic ...
  

• Hybrid Probabilistic and Interval Load Flow Calculation based on Data Clustering
  C Wang, F Tang, Y Zhang, W Liang... - 2020 12th IEEE PES ..., 2020 - ieeexplore.ieee.org
  ... Then, HPILF can be transformed into a number of interval load flow (ILF) calculations and solved by the well-established affine arithmetic methods. The performance of the proposed ...
  

• False data injection attack detection based on interval affine state estimation
  Y Wang, A Xing, Z Qu, X Han, H Dong... - Electric Power Systems ..., 2022 - Elsevier
  ... Compared with interval arithmetic, affine arithmetic can more effectively reduce the conservativeness of the result when performing linear calculations. After the calculation steps of ...
  

• Affine relaxations for the solutions of constrained parametric ordinary differential equations
  SM Harwood, PI Barton - Optimal Control Applications and ..., 2018 - Wiley Online Library
  ... can be obtained in an automated way through some sort of affine arithmetic, as mentioned before. We could proceed by the affine arithmetic of Harwood20 , Ch. 3 or Taylor model ...
  

• A comparison of interval methods in symbolic circuit analysis applications
  B Thanigaivelan, TJ Hamilton, A Postula - ANZIAM Journal, 2010 - journal.austms.org.au
  ... This article is concerned with using interval methods-such as Affine Arithmetic (aa) [6], Revised Affine Arithmetic (raa) [5], Extension to Affine Arithmetic (eaa) [4], and Generalized ...
  

• Multivariate dependent interval finite element analysis via convex hull pair constructions and the Extended Transformation Method
  M Faes, D Moens - Computer Methods in Applied Mechanics and ..., 2019 - Elsevier
  Classical (independent) interval analysis considers a hyper-cubic input space consisting of independent intervals. This stems from the inability of intervals to model dependence and ...
  

• A formally verified motion planner for autonomous vehicles
  A Rizaldi, F Immler, B Schürmann, M Althoff - International Symposium on ..., 2018 - Springer
  ... Compared to VeriPhy, we use affine arithmetic and VeriPhy uses interval arithmetic-a special case of affine arithmetic. However, our approach needs to trust the code generation setup ...