Given the following differential equation, your tasks are: * = 2r +12 + 73 *2 =...
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Given the following differential equation, your tasks are: *₁ = −2r₁ +12 + 73 *2 = x1 + x2 + 2x3 *3 = 11+12 +-2.73 k y = [X₁ X₂ X3] X2 a. Put the differential equation into a state-space form,, i.e., re-write the equation into the form. Assume D =0. x = Ax + Bu y=Cx+ Du b. Is this dynamical system stable? Comment. c. Compute et by using the matrix exponential definition, i.e., computing the powers of A. d. Write the transfer function of the underlying linear system. Given the following differential equation, your tasks are: *₁ = −2r₁ +12 + 73 *2 = x1 + x2 + 2x3 *3 = 11+12 +-2.73 k y = [X₁ X₂ X3] X2 a. Put the differential equation into a state-space form,, i.e., re-write the equation into the form. Assume D =0. x = Ax + Bu y=Cx+ Du b. Is this dynamical system stable? Comment. c. Compute et by using the matrix exponential definition, i.e., computing the powers of A. d. Write the transfer function of the underlying linear system. Given the following differential equation, your tasks are: *₁ = −2r₁ +12 + 73 *2 = x1 + x2 + 2x3 *3 = 11+12 +-2.73 k y = [X₁ X₂ X3] X2 a. Put the differential equation into a state-space form,, i.e., re-write the equation into the form. Assume D =0. x = Ax + Bu y=Cx+ Du b. Is this dynamical system stable? Comment. c. Compute et by using the matrix exponential definition, i.e., computing the powers of A. d. Write the transfer function of the underlying linear system. Given the following differential equation, your tasks are: *₁ = −2r₁ +12 + 73 *2 = x1 + x2 + 2x3 *3 = 11+12 +-2.73 k y = [X₁ X₂ X3] X2 a. Put the differential equation into a state-space form,, i.e., re-write the equation into the form. Assume D =0. x = Ax + Bu y=Cx+ Du b. Is this dynamical system stable? Comment. c. Compute et by using the matrix exponential definition, i.e., computing the powers of A. d. Write the transfer function of the underlying linear system.
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Related Book For
Applied Regression Analysis and Other Multivariable Methods
ISBN: 978-1285051086
5th edition
Authors: David G. Kleinbaum, Lawrence L. Kupper, Azhar Nizam, Eli S. Rosenberg
Posted Date:
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