This paper is concerned with the convergence, global superconvergence, local superconvergence, and stability of collocation methods for u′ t au t bu t . The optimal convergence order and superconvergence order are obtained, and the stability regions for the collocation methods are determined. The conditions that the analytic stability region is contained in the numerical stability region are ob...

The article determines the need to assess financial sustainability of regional economy on example Donetsk region. study is based development methods and assessment criteria, which allow determine level economy. method complex assessment, allows most reliably region basis statistical data borrowed from official sources statistics, has been chosen as an effective tool. Characterization allowed an...

Recent information-theoretic studies have resulted in several interference management (IM) techniques that promise significant capacity improvements over avoidance techniques. However, practice, the stable throughput region is a more relevant metric compared to region. In this work, we focus on of two-pair intermittent network with distributed transmitters and propose queue-based transmission p...

In this work, we study the stability region of the two-user broadcast channel (BC) with bursty data arrivals and security constraints. We consider the scenario, where one of the receivers has a secrecy constraint and its packets need to be kept secret from the other receiver. This is achieved by employing fullduplexing at the receiver with the secrecy constraint, so that it transmits a jamming ...

This paper studies the problem of stability region estimation and controller design for uncertain bilinear systems when linear controllers are used. Iterative linear matrix inequality (ILMI) algorithms are presented to estimate the closed-loop stability region and design the controllers. No tuning of parameters is needed in the design methods. The design aims to optimize between the size of the...

This paper surveys recent work on the stability of open multiclass queueing networks via fluid models. We recapitulate the stability result of Dai [8]. To facilitate study of the converse of the stability result, we distinguish between the notion of fluid limit and that of fluid solution. We define the stability region of a service discipline and the global stability region of a network. Exampl...

In this paper, we characterize the stability region of IEEE 802.11 DCF from a multi-channel perspective. The fundamental conceptual issue accompanying channelization is the notion of channel-switching scheduling policy which introduces a channeloccupancy distribution of each node. We show that channelization is heuristically equivalent to expanding the average backoff window in shaping the stab...