Computation of the impulsive behavior of multivariable linear systems using a division algorithm

2000 ◽  
Vol 39 (4) ◽  
pp. 211-217
Author(s):  
G.F. Fragulis ◽  
B.G. Mertzios
2001 ◽  
Vol 32 (2) ◽  
pp. 131-136
Author(s):  
Ziad Zahreddine

The well-known Routh Array settles the problem of stability of systems of differential equations with rral coefficients. The Extended Routh Array (ERA) is the complex counterpart of the Routh Array and it settles the stability of these systems when the coefficients are complex. Since its construction, the ERA remained more of a theoretical achievement, than a practical tool to test the stability of linear systems. Some attempts were made to overcome the complexity of the ERA. The Modified Extended Routh Array (MERA) was then introduced and it reduced the burden of computations, but still it involved lots of divisions and many operations with complex numbers. In the present work, we use the interlacing property to propose an equivalent criterion to both ERA and MERA, we call the Generalized Routh Array (GRA). The new array has advantages over both ERA and MERA in the sense that neither division algorithm, nor operations of complex numbers are involved. An example is given to illustrate the feasibility of the new test.


2019 ◽  
Vol 24 (4) ◽  
pp. 312-321 ◽  
Author(s):  
Diana Moreira ◽  
Fernando Barbosa

Abstract. Delay discounting (DD) is the process of devaluing results that happen in the future. With this review, we intend to identify specificities in the processes of DD in impulsive behavior. Studies were retrieved from multiple literature databases, through rigorous criteria (we included systematic reviews and empirical studies with adult human subjects), following the procedures of the Cochrane Collaboration initiative. Of the 174 documents obtained, 19 were considered eligible for inclusion and were retained for in-depth analysis. In addition, 13 studies from the manual search were included. Thus, a total of 32 studies were selected for review. The objectives/hypotheses, results, and the main conclusion(s) were extracted from each study. Results show that people with pronounced traits of impulsivity discount rewards more markedly, that is, they prefer immediate rewards, though of less value, or postponed losses, even though they worsen in the future. Taken together, the existing data suggest the importance of inserting DD as a tool for initial assessment in conjunction with measures of addiction and stress level, as well as the consideration of new therapies.


2011 ◽  
Author(s):  
Thomas G. Adams ◽  
Douglas W. Woods ◽  
Chad T. Wetterneck

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