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pro vyhledávání: '"James A. Reneke"'
Autor:
James A. Reneke
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2004, Iss 65, Pp 3541-3563 (2004)
Stochastic linearization produces a linear system with the same covariance kernel as the original nonlinear system. The method passes from factorization of finite-dimensional covariance kernels through convergence results to the final input/output op
Externí odkaz:
https://doaj.org/article/1c2953c8fa86412a9f4c9d85a30a4a38
Autor:
Frank M. Cholewinski, James A. Reneke
Publikováno v:
Electronic Journal of Differential Equations, Vol 2003, Iss 87, Pp 1-64 (2003)
Solutions of a generalized Airy diffusion equation and an associated nonlinear partial differential equation are obtained. Trigonometric type functions are derived for a third order generalized radial Euler type operator. An associated complex variab
Externí odkaz:
https://doaj.org/article/516f694d276f4d5a9657caab74de0820
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 16, Iss 1, Pp 139-148 (1993)
Known sufficient conditions for quadratic dynamical system x′=Ax+f(x) to be point dissipative given in terms of A and f for dimensions 2 and 3 are extended to allow for more general forms for the nonlinear term f(x). Furthermore, the conditions ext
Externí odkaz:
https://doaj.org/article/04f00111e9314507bfa7bd57e37fd06e
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 14, Iss 1, Pp 99-110 (1991)
The system x′=Ax+f(x) of nonlinear vector differential equations, where the nonlinear term f(x) is quadratic with orthogonality property xTf(x)=0 for all x, is point-dissipative if uTAu
Externí odkaz:
https://doaj.org/article/bd01b8069a30498fbf720f834a7594ee
Autor:
James A. Reneke
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 71:e1239-e1246
A game setting is developed for decision making under conditions of uncertainty and risk for a general class of problems. The methodology is illustrated using assumptions governing future oil prices and environmental degradation to evaluate long term
Publikováno v:
Reliability Engineering & System Safety. 94:558-567
The literature in economics, finance, operations research, engineering and in general mathematics is first reviewed on the subject of defining uncertainty and risk. The review goes back to 1901. Different perspectives on uncertainty and risk are exam
Publikováno v:
2015 Clemson University Power Systems Conference (PSC).
In this paper, we formulate a multi-criteria decision problem using a reproducing kernel Hilbert space approach to stochastic processes applied to a wholesale electrical power market. Our approach provides an alternative to stochastic, robust optimiz
Autor:
Margaret M. Wiecek, James A. Reneke
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 63:e2021-e2031
A research investment decision problem at a university research center is modeled as a complex system operating under conditions of uncertainty and risk. A decision-maker driven modeling and decision-making methodology is applied to identify an optim
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 21, Iss 3, Pp 507-518 (1998)
Conditions are investigated for systems of the formMx′=N+Ax+f(x), wherefis quadratic, which lield a point dissipative system. Application of the conditions are made to the problem of existence of linear feedback controlsu=Kxfor systems of the formM
Autor:
James A. Reneke
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 30:265-274