Causal modeling in impulsive systems: a new rigorous non-standard analysis approach

DOI10.1016/J.NAHS.2017.01.007OpenAlexW2590875815MaRDI QIDQ2406956

Erik I. Verriest, Nak-seung P. Hyun

Publication date: 4 October 2017

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2017.01.007

zbMATH Keywords

generalized solutionnonstandard analysisimpulsive systemimpulsive controlsystems with impacts

Mathematics Subject Classification ID

Numerical analysis (65-XX) Mechanics of particles and systems (70-XX)

Related Items (1)

Non-standard analysis for fractal calculus

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A survey of numerical methods for IVPs of ODEs with discontinuous right-hand side
• On a generalization of the impulsive control concept: controlling system jumps
• The canard unchained or how fast/slow dynamical systems bifurcate
• Discontinuous systems. Lyapunov analysis and robust synthesis under uncertainty conditions
• Infinitesimal methods in control theory: deterministic and stochastic
• Products of distributions: Nonstandard methods
• Multiplication of distributions. A tool in mathematics, numerical engineering and theoretical physics
• Impulsive control systems with commutative vector fields
• Contact force models for multibody dynamics
• Regularizing piecewise smooth differential systems: co-dimension 2 discontinuity surface
• Controllable systems with impacts
• On the extension of Schwartz distributions to the space of discontinuous test functions of several variables
• Generalized solutions in systems with active unilateral constraints
• A note on systems with ordinary and impulsive controls
• A rigorous solution concept for geodesic and geodesic deviation equations in impulsive gravitational waves
• The Generalized Solutions of Nonlinear Optimization Problems with Impulse Control
• Steady-state solutions in an algebra of generalized functions
• Dynamical Systems With Active Singularities of Elastic Type: A Modeling and Controller Synthesis Framework
• Nonstandard arithmetic
• Impact controllability of an air hockey puck
• Impulsive control theory

This page was built for publication: Causal modeling in impulsive systems: a new rigorous non-standard analysis approach