Examples of Continuous Optimization
Chapter
Abstract
Many examples of applications are related to the optimization of parameters of mathematical models represented as systems of non-linear differential equations. The objective function f(x) depends on the solution of equations. Variables x represent controlled parameters of the system. The three following examples:
belong to such a family of problems The last example suggests a broad area for applications of global optimization. It is well known that in non-linear regression square deviation as well as a likelihood function could be multi-modal one for some data. The number of local minima may be very large, even in simple cases. An example is
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maximization of the general yield of differential amplifiers (see Section 5.2),
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optimization of the mechanical system of shock-absorber (see Section 5.3),
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estimation of the parameters of non-linear regression of an immunological model (see Section 5.4),
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estimation of unknown parameters of bilinear time series (see Section 5.5).
Keywords
Global Optimization Composite Laminate Differential Amplifier Fiber Orientation Angle Coordinate Optimization
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© Springer Science+Business Media Dordrecht 1997