This paper works towards unifying two popular approaches in the safety control community: Hamilton-Jacobi (HJ) reachability and Control Barrier Functions (CBFs). HJ Reachability has …
MG Crandall, H Ishii, PL Lions - Bulletin of the American mathematical …, 1992 - ams.org
The notion of viscosity solutions of scalar fully nonlinear partial differential equations of second order provides a framework in which startling comparison and uniqueness …
We consider a reach-avoid differential game, in which one of the players aims to steer the system into a target set without violating a set of state constraints, while the other player tries …
K Margellos, J Lygeros - IEEE Transactions on automatic …, 2011 - ieeexplore.ieee.org
A new framework for formulating reachability problems with competing inputs, nonlinear dynamics, and state constraints as optimal control problems is developed. Such reach-avoid …
Questions of reachability for continuous and hybrid systems can be formulated as optimal control or game theory problems, whose solution can be characterized using variants of the …
Y Zhao, IG Niemegeers, SMH De Groot - IEEE Access, 2021 - ieeexplore.ieee.org
Power allocation plays a central role in cell-free (CF) massive multiple-input multiple-output (MIMO) systems. Many effective methods, eg, the weighted minimum mean square error …
The use of aircraft operational logs to predict potential failure that may lead to disruption poses many challenges and has yet to be fully explored. Given that aircraft are high-integrity …
We consider a target problem for a nonlinear system under state constraints. We give a new continuous level-set approach for characterizing the optimal times and the backward …
T Joshi, S Makker, H Kodamana, H Kandath - Computers & Chemical …, 2021 - Elsevier
Control of batch processes is a difficult task due to their complex nonlinear dynamics and unsteady-state operating conditions within batch and batch-to-batch. It is expected that some …