Generic asymptotic error estimates for the numerical simulation of hybrid systems

DOI10.1016/J.NAHS.2008.11.002zbMath1186.65109OpenAlexW1967567485MaRDI QIDQ924097

Lucio Tavernini

Publication date: 27 July 2009

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

Full work available at URL: https://doi.org/10.1016/j.nahs.2008.11.002

zbMATH Keywords

convergencenumerical examplesinitial value problemasymptotic error estimatesdifferential automatonhysteretic hybrid systemsSkorohod topologyspecific stepsize selection

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical methods for functional-differential equations (65L03)

Related Items (1)

Topologies for hybrid solutions

Cites Work

• Topologies for hybrid solutions
• Qualitative theory of hybrid dynamical systems.
• Continuous selections of trajectories of hybrid systems
• Cyclic linear differential automata: A simple class of hybrid dynamical systems
• Existence and stability of periodic trajectories in switched server systems
• Differential automata and their discrete simulators
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