Method for constructing piecewise quadratic value functions in a control problem for a switched system

DOI10.1134/S0012266118110083zbMath1409.93040OpenAlexW2904647874MaRDI QIDQ1731309

P. A. Tochilin, K. S. Mayantsev

Publication date: 13 March 2019

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266118110083

zbMATH Keywords

switched systemcontrol synthesis problempiecewise quadratic value functions

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Control of mechanical systems (70Q05) Synthesis problems (93B50) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (3)

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 ⋮ Control problem for a piecewise linear system with uncertainties based on measurement results

Cites Work

• On the construction of nonconvex approximations to reach sets of piecewise linear systems
• Dynamics and control of trajectory tubes. Theory and computation
• Weakly invariant sets of hybrid systems
• Piecewise linear control systems. A computational approach
• Comparison principle for equations of the Hamilton-Jacobi type in control theory
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