Discrete Approximation of Impulsive Differential Inclusions

DOI10.1080/01630563.2010.483878zbMath1205.34012OpenAlexW2142113334MaRDI QIDQ3590036

Robert Baier, Tzanko Donchev

Publication date: 17 September 2010

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://epub.uni-bayreuth.de/5579/1/baier_et_al_discr_approx_impuls_di_him_2009.pdf

zbMATH Keywords

differential inclusionsimpulsive systemsreachable setsvariable times of impulsesreachable sets.

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Ordinary differential inclusions (34A60) Attainable sets, reachability (93B03)

Related Items (9)

Measure differential inclusions -- between continuous and discrete ⋮ A class of impulsive differential variational inequalities in finite dimensional spaces ⋮ Higher order Runge-Kutta methods for impulsive differential systems ⋮ On Polyhedral Estimates of Reachable Sets of Discrete-Time Systems with Uncertain Matrices and Integral Bounds on Additive Terms ⋮ External polyhedral estimates of reachable sets of discrete-time systems with integral bounds on additive terms ⋮ Approximate Solutions of Impulsive Optimal Controls for a Class of Lagrange Problem ⋮ A multivalued discrete system and its properties ⋮ Numerical Approximations of Impulsive Delay Differential Equations ⋮ Runge-Kutta Methods for Differential Equations with Variable Time of Impulses

Cites Work

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• Optimization and nonsmooth analysis
• Difference Methods for Differential Inclusions: A Survey
• Discrete Approximations and Refined Euler–Lagrange Conditions for Nonconvex Differential Inclusions
• Impulse differential inclusions: a viability approach to hybrid systems

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