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dx, (1) – -2x,(1) + 0.lx, (1)x,(1) + u() dt dx.(1) =-x,(1)– 2x,(1)(x; (1) di y(1) = x, (1) + (1+x,(1))²

dx, (1) – -2x,(1) + 0.lx, (1)x,(1) + u() dt dx.(1) =-x,(1)– 2x,(1)(x; (1) di y(1) = x, (1) + (1+x,(1))²

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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Consider the following nonlinear state space model, where x(1) and x,(1) are state variables, 1(1) is the input, y(1) is the output. dx, (1) =-2x, (t) + 0.1x, (f)x,(1)+u(t) dt dx,(1) - -x,(1) – 2x,(1)(x, (1)" dt y(1) = x, (1) + (1+ x,(1)° Build a linearized model around the operating point given by 4, =1
Transcribed Image Text:Consider the following nonlinear state space model, where x(1) and x,(1) are state variables, 1(1) is the input, y(1) is the output. dx, (1) =-2x, (t) + 0.1x, (f)x,(1)+u(t) dt dx,(1) - -x,(1) – 2x,(1)(x, (1)" dt y(1) = x, (1) + (1+ x,(1)° Build a linearized model around the operating point given by 4, =1
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