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math.OC2015★ 1 cited
Construction of the Minimum Time Function Via Reachable Sets of Linear Control Systems. Part 2: Numerical Computations
Robert Baier, Thuy Thi Thien Le
In the first part of this paper we introduced an algorithm that uses reachable set approximation to approximate the minimum time function of linear control problems. To illustrate…
math.OC2015
Construction of the Minimum Time Function Via Reachable Sets of Linear Control Systems. Part I: Error Estimates
Robert Baier, Thuy Thi Thien Le
The first part of this paper is devoted to introducing an approach to compute the approximate minimum time function of control problems which is based on reachable set approximatio…
math.OC2015
From Quasidifferentiable to Directed Subdifferentiable Functions: Exact Calculus Rules
Robert Baier, Elza Farkhi, Vera Roshchina
We derive exact calculus rules for the directed subdifferential defined for the class of directed subdifferentiable functions. We also state optimality conditions, a chain rule and…