Construction of discontinuous piecewise quadratic value functions in a target control problem

DOI10.1134/S0081543822060098OpenAlexW4321128608MaRDI QIDQ2689285

I. A. Chistyakov, P. A. Tochilin

Publication date: 9 March 2023

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543822060098

zbMATH Keywords

dynamic programmingcomparison principlelinearizationnonlinear dynamicscontrol synthesisswitched systempiecewise quadratic value function

Mathematics Subject Classification ID

Numerical analysis (65-XX) Systems theory; control (93-XX)

Cites Work

• Unnamed Item
• Dynamics and control of trajectory tubes. Theory and computation
• A strong-connectivity algorithm and its applications in data flow analysis
• Application of piecewise quadratic value functions to the approximate solution of a nonlinear target control problem
• Approximate solution of the target control problem with a nonlinearity depending on one state variable
• Controlled Markov processes and viscosity solutions
• Reachability and Control Synthesis for Piecewise-Affine Hybrid Systems on Simplices
• Computing Abstractions of Nonlinear Systems
• Synthesis for Constrained Nonlinear Systems Using Hybridization and Robust Controllers on Simplices
• Comparison principle for equations of the Hamilton-Jacobi type in control theory
• Depth-First Search and Linear Graph Algorithms

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