This paper presents necessary and sufficient conditions for the existence of a Lyapunov function in the Lur’e form that guarantees the absolute stability of a Lur’e control system with multiple nonlinearities. It simplifies the existence problem to one of solving a set of linear matrix inequalities (LMIs). If these inequalities are feasible, the free parameters in the Lyapunov function, such as...

In a multiperiod dynamic network flow problem, we model uncertain arc capacities using scenario aggregation. This model is so large that it may be difficult to obtain optimal integer or even continuous solutions. We develop a Lagrangian decomposition method based on the structure recently introduced in [9]. Our algorithm produces a near-optimal primal integral solution and an optimum solution t...

Uncertainty about the choice of identifying assumptions is common in causal studies, but often ignored empirical practice. This paper considers uncertainty over models that impose different assumptions, which can lead to a mix point‐ and set‐identified models. We propose performing inference presence such by generalizing Bayesian model averaging. The method multiple posteriors for combines them...