The recent financial crisis has shown that the reforming in regulation and supervision is essential. This paper studies whether banking regulation improves bank soundness or more regulation lead to decrease soundness of banking. Specifically, countries which require banks to report regularly and accurately their financial data to regulators and market participants have sounder banks. In th...

in this article, we characterize the involutiveness of the linear combination of the forma1a1 +a2a2 when a1, a2 are nonzero complex numbers, a1 is a quadratic or tripotent matrix,and a2 is arbitrary, under certain properties imposed on a1 and a2.

This article studies the robustness of policy iteration in context continuous-time infinite-horizon linear quadratic regulator (LQR) problem. It is shown that Kleinman's algorithm small-disturbance input-to-state stable, a property stronger than Sontag's local stability but weaker global stability. More precisely, whenever error each bounded and small, solutions are also enter small neighborhoo...

Controlling network systems has become a problem of paramount importance. In this paper, we consider distributed linear-quadratic and propose the use graph neural networks (GNNs) to parametrize design controller for systems. GNNs exhibit many desirable properties, such as being naturally scalable. We cast self-supervised learning problem, which is then used train GNN-based controllers. also obt...