Efficient polyhedral enclosures for the reachable set of nonlinear control systems

Optimization-based convex relaxations for nonconvex parametric systems of ordinary differential equations

Y Song, KA Khan - Mathematical Programming, 2022 - Springer
Novel convex and concave relaxations are proposed for the solutions of parametric ordinary
differential equations (ODEs), to aid in furnishing bounding information for deterministic …
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Semidefinite approximations of reachable sets for discrete-time polynomial systems

V Magron, PL Garoche, D Henrion, X Thirioux - SIAM Journal on Control and …, 2019 - SIAM
We consider the problem of approximating the reachable set of a discrete-time polynomial
system from a semialgebraic set of initial conditions under general semialgebraic set …
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