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Given that the control is u=V₂V, and the equation of performance index below, explain or answer, (Q1) what the performance index is calculating and how it is calculating, explain your reasoning using mathematical analysis. T J.= fu(t¹ Ru(t) dt where R=I is the 2X2 identity matrix.

Given that the control is u=V₂V, and the equation of performance index below, explain or answer, (Q1) what the performance index is calculating and how it is calculating, explain your reasoning using mathematical analysis. T J.= fu(t¹ Ru(t) dt where R=I is the 2X2 identity matrix.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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a) Given that the control is u=V,Vand the equation of performance index below, explain or answer, (Q1) what the performance index is calculating and how it is calculating, explain your reasoning using mathematical analysis. J,= Jult Ru(t)dt where R=I is the 2X2 identity matrix.
Transcribed Image Text:a) Given that the control is u=V,Vand the equation of performance index below, explain or answer, (Q1) what the performance index is calculating and how it is calculating, explain your reasoning using mathematical analysis. J,= Jult Ru(t)dt where R=I is the 2X2 identity matrix.
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