منابع مشابه
Singularly Perturbed Integral Equations
We study singularly perturbed Fredholm equations of the second kind. We give sufficient conditions for existence and uniqueness of solutions and describe the asymptotic behavior of the solutions. We examine the relationship between the solutions of the perturbed and unperturbed equations, exhibiting the degeneration of the boundary layer to delta functions. The results are applied to several ex...
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In some control and observations problems, it may be convenient, at least from the analysis point of view, to use non proper systems. However, as far as their implementation is concerned, proper approximations have to be designed. In this paper, we show how exponential approximations can be rather easily designed. We consider the MIMO case and study the relative stability of the approximation. ...
متن کاملComputing singularly perturbed differential equations
A computational tool for coarse-graining nonlinear systems of ordinary differential equations in time is discussed. Three illustrative model examples are worked out that demonstrate the range of capability of the method. This includes the averaging of Hamiltonian as well as dissipative microscopic dynamics whose ‘slow’ variables, defined in a precise sense, can often display mixed slow-fast res...
متن کاملSingularly Perturbed Piecewise Deterministic Games
In this paper we consider a class of hybrid stochastic games with the piecewise openloop information structure. These games are indexed over a parameter ε which represents the time scale ratio between the stochastic (jump process) and the deterministic (differential state equation) parts of the dynamical system. We study the limit behavior of Nash equilibrium solutions to the hybrid stochastic ...
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1994
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/1292203