A method is presented to learn neural network (NN) controllers with stability and safety guarantees through imitation learning (IL). Convex conditions are derived for linear time-invariant systems NN by merging Lyapunov theory local quadratic constraints bound the activation functions in NN. These incorporated IL process, which minimizes loss, maximizes volume of region attraction associated co...

The fair division of indivisible goods is a very well-studied problem. goal this problem to distribute $m$ $n$ agents in “fair” manner, where every agent has valuation for each subset goods. We assume monotone valuations. Envy-freeness the most extensively studied notion fairness. However, envy-free allocations do not always exist when are indivisible. fairness we consider here “envy-freeness u...