On reachability and minimum cost optimal control
By John Lygeros. at - Automatisierungstechnik, 2004
342 citations recorded by the source corpus.
Subfields: Aerospace Engineering, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/c64c56824912fa623e29c179af1fb5c38275e138
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Aerospace Engineering
- Claire Jennifer Tomlin
- Mo Chen
- Qi Gong
- Jeremy H. Gillula
- Mark Karpenko
- Kostas Margellos
- Somil Bansal
- Sylvia L. Herbert
In Numerical Analysis
- Kostas Margellos
- Claire Jennifer Tomlin
- Mo Chen
- Somil Bansal
- Sylvia L. Herbert
- Qi Gong
- I. Michael Ross
- John Lygeros
Citations in the corpus
- A time-dependent Hamilton-Jacobi formulation of reachable sets for continuous dynamic games (2005, neutral): “Additional examples can be found in [8], [9], [21], and [39].”
- Set-Theoretic Approaches in Analysis, Estimation and Control of Nonlinear Systems (2015, background): “Moreover, so-called indirect approaches have also been developed, which formulate reachability questions as optimal control (or game theory) problems and determine reachableset outer-approximations by Hamilton-Jacobi projections (Mitchell and Tomlin, 2003; Lygeros, 2004).”
- Riemann–Stieltjes Optimal Control Problems for Uncertain Dynamic Systems (2015, background): “Standard minimax optimal control problems are connected to the computation of viability kernels and capture basins [7,47,48], which form the central concepts in viability theory.”
- Hamilton-Jacobi reachability: A brief overview and recent advances (2017, methodology): “Once again, the BRT can be computed by solving a final value PDE similar to that in (12) [37], [50].”
- Hamilton–Jacobi Formulation for Reach–Avoid Differential Games (2009, methodology): “Based on [16], [17], and [29], we will show that the value function defined by (3) is the unique viscosity solution of the following variational equation:”
- A General Safety Framework for Learning-Based Control in Uncertain Robotic Systems (2017, background): “Following the classical approach in the literature [35],[34], the safety problem can be posed as a two-player zero-sum differential game between the system controller and the disturbance.”