4 citations · 7 across the 7 of their papers we have counts for
7 papers
Computation of avoidance regions for driver assistance systems by using a Hamilton-Jacobi approach
Ilaria Xausa, Robert Baier, Olivier Bokanowski +1
We consider the problem of computing safety regions, modeled as nonconvex backward reachable sets, for a nonlinear car collision avoidance model with time-dependent obstacles. The…
Construction of the Minimum Time Function for Linear Systems Via Higher-Order Set-Valued Methods
Robert Baier, Thuy T. T. Le
The paper is devoted to introducing an approach to compute the approximate minimum time function of control problems which is based on reachable set approximation and uses arithmet…
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…
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…
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…
Existence of Solutions for Nonconvex Differential Inclusions of Monotone Type
Elza Farkhi, Tzanko Donchev, Robert Baier
Differential inclusions with compact, upper semi-continuous, not necessarily convex right-hand sides in R^n are studied. Under a weakened monotonicity-type condition the existence…
Directed Subdifferentiable Functions and the Directed Subdifferential without Delta-Convex Structure
Robert Baier, Elza Farkhi, Vera Roshchina
We show that the directed subdifferential introduced for differences of convex (delta-convex, DC) functions by Baier and Farkhi can be constructed from the directional derivative w…