Construction of reachable sets of controlled systems with second order of accuracy with respect to time step

DOI10.15372/SJNM20200402zbMath1505.93018MaRDI QIDQ5048155

A. A. Ershov

Publication date: 15 November 2022

Published in: Сибирский журнал вычислительной математики (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/sjvm754

zbMATH Keywords

control systemreachable setmodified Euler methodsecond-order Runge-Kutta methodswitching of control

Mathematics Subject Classification ID

Attainable sets, reachability (93B03)

Cites Work

• Algorithm for piecewise-linear approximation of the reachable set boundary
• Optimal control and dynamic games. Applications in finance, management science and economics. Dedicated to Professor Suresh P. Sethi.
• Higher-order approximations of linear control systems via Runge-Kutta schemes
• Input-to-state stability of Runge-Kutta methods for nonlinear control systems
• Algorithm of quasiuniform filling of reachable set for nonlinear control system
• Second-Order Discrete Approximation to Linear Differential Inclusions
• Numerical Analysis and Its Applications

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