Given a nonlinear system, a target region of the simply connected compact type and a time duration, we in this paper propose a method using boundary analysis to compute an under-approximation of the backward reachable set. The under-approximation is represented as a polytope. The polytope can ...
16. Contact the maintenance personnel of the peer device to check whether BGP is reset on the peer device, whether the peer enable command is used to enable the peer in another address family on the local device, or whether BGP connection parameters are set. If any of the preceding ...
16. Contact the maintenance personnel of the peer device to check whether BGP is reset on the peer device, whether the peer enable command is used to enable the peer in another address family on the local device, or whether BGP connection parameters are set. If any of the preceding operatio...
This can also be understood intuitively, as the above means that the (over-approximated) set of states reachable from INIT in i steps and the (over-approximated) set of states that can reach ¬p in n − i steps are not reachable from one another in one step. This means that ...
We next prove that this operator satisfies a mild version of monotonicity, which we call monotonicity on reachable histories. This property is used to show that for this operator, every possible order of elimination leads to the same set of outcomes. We finally show that backward induction ...
This set of safe initial states (denoted the safe landing set) is the backward reachable set from safe on ground to a steady-state autorotation condition. This safe set can be used by autonomous rotorcraft as a target condition for the steady-state phase of autorotation; it can be used in...
The safety controller utilizes a novel concept of backward reachable set computation, where we avoid the need of computing underapproximations of reachable sets. We have further developed a new approach that analytically describes reachable sets, making it possible to efficiently maximize the size of ...
The main contribution is a backward-forward reachable set splitting scheme, which can be used to derive numerically tractable conservative approximations of such two player games. In detail, we introduce a novel class of differential inequalities that can be used to find convex outer approximations ...
reachable sets estimationuncertain systemsA method is presented to obtain an inner-approximation of the backward reachable set of a given target tube, along with an admissible controller that maintains trajectories inside this tube. The proposed optimization algorithms are formulated as nonlinear ...
The main contribution is a backward-forward reachable set splitting scheme, which can be used to derive numerically tractable conservative approximations of such two player games. In detail, we introduce a novel class of differential inequalities that can be used to find convex outer approximations ...