Flight Envelope Clearance of Atmospheric Re-entry Module with Flight Control

Juliana, S.; Chu, Q.P.; Mulder, J.A.; Baten, T.J. van

doi:10.2514/6.2004-5170

Cited by 3 publications

(2 citation statements)

References 3 publications

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“…To obtain the bounds on the remainder for the interval , we can use standard IA and insert for and (since lies somewhere between and thus somewhere in the interval ). We obtain (25) The width of depends on the width of and on the function…”

Section: A Taylor Modelmentioning

confidence: 99%

“…However, currently, this research field is rapidly growing due to the increasing computation power of personal computers. Examples of applications range from nonlinear aircraft trim [24] to reentry flight clearance [25], integer ambiguity resolution [26], stock market forecasting [27], data analysis [28], and many more (see also the Journal of Reliable Computing). In Section II, we will provide more information regarding interval analysis.…”

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confidence: 99%

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Neural Network Output Optimization Using Interval Analysis

Weerdt

Chu

Mulder

2009

IEEE Trans. Neural Netw.

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Abstract-The problem of output optimization within a specified input space of neural networks (NNs) with fixed weights is discussed in this paper. The problem is (highly) nonlinear when nonlinear activation functions are used. This global optimization problem is encountered in the reinforcement learning (RL) community. Interval analysis is applied to guarantee that all solutions are found to any degree of accuracy with guaranteed bounds. The major drawbacks of interval analysis, i.e., dependency effect and high-computational load, are both present for the problem of NN output optimization. Taylor models (TMs) are introduced to reduce these drawbacks. They have excellent convergence properties for small intervals. However, the dependency effect still remains and is even made worse when evaluating large input do-

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Section: A Taylor Modelmentioning

confidence: 99%