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- W249337497 abstract "This chapter discusses some basic principles of decomposition and multilevel optimization as applied to static and dynamic systems, and uses these principles in an entirely new application—the decomposition and multilevel optimization of trajectories. The chapter discusses the concepts of decomposition and second level controllers by examining static systems. A very simple example is used to show the advantages and limitations of the techniques. A new second level controller is derived using the Newton-Raphson algorithm for finding the roots of equations. This controller seemingly can not only be applied to a larger class of problems, but also gives the advantage of calculating the step size for the second level controller algorithm. A new Newton-Raphson controller is derived for dynamic systems, analogous to that for the static systems. Decomposition of a system means to manipulate the system equations in such a manner that they can be uncoupled into smaller subsystems that can be independently optimized." @default.
- W249337497 created "2016-06-24" @default.
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- W249337497 date "1968-01-01" @default.
- W249337497 modified "2023-09-26" @default.
- W249337497 title "Multilevel Optimization Techniques with Application to Trajectory Decomposition" @default.
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- W249337497 doi "https://doi.org/10.1016/b978-1-4831-6715-2.50009-0" @default.
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