Non-standard analysis and representation of reality

DOI10.1080/00207170701601728zbMath1152.94332OpenAlexW1983485693MaRDI QIDQ3542988

Claude Lobry, Tewfik Sari

Publication date: 1 December 2008

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207170701601728

Mathematics Subject Classification ID

Foundations and philosophical topics in statistics (62A01) Time-scale analysis and singular perturbations in control/observation systems (93C70) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Axioms; other general questions in probability (60A05) Other applications of nonstandard models (economics, physics, etc.) (03H10)

Related Items (8)

Periodic Wave Shock solutions of Burgers equations ⋮ Small oscillations of the pendulum, Euler's method, and adequality ⋮ Non-standard analysis for fractal calculus ⋮ Weyl and Intuitionistic Infinitesimals ⋮ Algebraic change-point detection ⋮ Periodic wave shock solutions of Burgers equations ⋮ Model-free control ⋮ Averaging on slow and fast cycles of a three time scale system

Cites Work

• Le moiré
• Modern infinitesimals as a tool to match intuitive and formal reasoning in analysis
• An alternative mathematical foundation for statistics
• The Strength of Nonstandard Analysis
• The peaking phenomenon and the global stabilization of nonlinear systems
• Internal set theory: A new approach to nonstandard analysis

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