Early Termination of NMPC Interior Point Solvers: Relating the Duality Gap to Stability

Author(s):  
Andrei Pavlov ◽  
Iman Shames ◽  
Chris Manzie
2020 ◽  
Vol 26 (7) ◽  
pp. 1590-1609
Author(s):  
V.A. Rakhaev

Subject. The article addresses modernization of lending facilities under concession agreements. It is important for evaluating the terms of credit transactions, effectiveness of credit projects, and the concessionaire's ability to repay the loan. Objectives. The purpose is to review the current financing mechanism and underpin approaches to improving the credit facilities within concession agreements. Methods. The study rests on general scientific methods, like the systems and logical analysis and synthesis, principles of induction and deduction, financial calculation techniques. The analytical part employs the balance method, methods of financial coefficients and the method of technical and economic estimates. Results. I analyzed the financial structure and special characteristics of concession agreements, parameters of concessionaires’ activities; considered the types of risks inherent in bank lending under concession agreements, methods for their identification and mitigation; offered a mechanism of lending, including the structure of credit transactions, restrictions for the financial condition of concessionaires, additional requirements and penalties for their non-fulfillment. The findings can help banks define lending parameters for concession agreements. The provided recommendations may be useful for consideration by the authorities of the constituent entities of the Russian Federation. Conclusions. It is possible to reduce the risks of lending under concession contracts, if their terms and conditions are stable, and if the lost income of concessionaires is compensated in the event of early termination. Reasonable tariffs for works and services and increased revenue collection will promote this type of lending.


2019 ◽  
Vol 39 (2) ◽  
pp. 141-150
Author(s):  
Nicola J. Stagg ◽  
Hanan N. Ghantous ◽  
Robert Roth ◽  
Kenneth L. Hastings

Nonclinical toxicology studies are conducted to characterize the potential toxicities and establish a safe starting dose for new drugs in clinical studies, but the question remains as to how predictable/translatable the nonclinical safety findings are to humans. In many cases, there is good concordance between nonclinical species and patients. However, there are cases for which there is a lack of predictivity or translatability that led to early termination of clinical studies due to unanticipated toxicities or early termination of programs before making it to the clinic due to unacceptable nonclinical toxicities assumed to be translatable. A few case examples of safety findings that are translatable versus safety findings that are not translatable and why they are not translateable were presented as a symposium at the 38th Annual Meeting of the American College of Toxicology in Palm Springs, California, and are discussed in this article.


Mathematics ◽  
2021 ◽  
Vol 9 (10) ◽  
pp. 1108
Author(s):  
Olga Kudryavtseva ◽  
Aleksei Solodov

The class of holomorphic self-maps of a disk with a boundary fixed point is studied. For this class of functions, the famous Julia–Carathéodory theorem gives a sharp estimate of the angular derivative at the boundary fixed point in terms of the image of the interior point. In the case when additional information about the value of the derivative at the interior point is known, a sharp estimate of the angular derivative at the boundary fixed point is obtained. As a consequence, the sharpness of the boundary Dieudonné–Pick lemma is established and the class of the extremal functions is identified. An unimprovable strengthening of the Osserman general boundary lemma is also obtained.


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