Bounds on the number of switchings for trajectories of piecewise analytic vector fields

DOI10.1016/0022-0396(82)90084-5zbMath0488.34033OpenAlexW2030533255MaRDI QIDQ1165998

Héctor J. Sussmann

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0022-0396(82)90084-5

zbMATH Keywords

switchingspolyhedral constraintsextendably piecewise analytic vector fieldregular synthesis for optimal control problemsstrictly convex Lagrangian

Mathematics Subject Classification ID

Qualitative theory for ordinary differential equations (34C99) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Ordinary differential equations and systems on manifolds (34C40)

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Cites Work

• Regular synthesis for the linear-quadratic optimal control problem with linear control constraints
• Existence of regular synthesis for general control problems
• Stratification of real analytic mappings and images
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