On the construction of nonconvex approximations to reach sets of piecewise linear systems

DOI10.1134/S0012266115110117zbMath1332.93049MaRDI QIDQ258190

P. A. Tochilin

Publication date: 17 March 2016

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

zbMATH Keywords

piecewise linear systemsattainable setsnonconvex approximations

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Attainable sets, reachability (93B03) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (5)

The problem of target control for a quadrotor when moving in a horizontal plane avoiding obstacles ⋮ Problem of stabilizing a switching system using a piecewise-linear control system ⋮ THE LIMITS OF APPLICABILITY OF THE LINEARIZATION METHOD IN CALCULATING SMALL–TIME REACHABLE SETS ⋮ Method for constructing piecewise quadratic value functions in a control problem for a switched system ⋮ Control problem for a piecewise linear system with uncertainties based on measurement results

Cites Work

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• Dynamics and control of trajectory tubes. Theory and computation
• Analysis of a second-order hybrid system with linear structure
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• Controlled Markov processes and viscosity solutions
• Computation of piecewise quadratic Lyapunov functions for hybrid systems
• A unified framework for hybrid control: model and optimal control theory
• On Reachability Under Uncertainty
• On Ellipsoidal Techniques for Reachability Analysis. Part I: External Approximations
• Comparison principle for equations of the Hamilton-Jacobi type in control theory

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