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5. State transition matrix: (t), which is defined as, Calculate analytically the state transition matrix (t) = et = L¯¹{(sI – A)¯¹} Show that the answer is the following, 1 e-4t cos(√2t) - e-4 sin(√2 t) 1 e -4t √2 (t) = et -3 1 -4t sin (√2 t) e COS -4t cos (√2t) + - e sin(√2 t) 2-4t sin(√2 t)| Calculate the following: (SI - A)-1= Use the completion - in - the-square technique (CASE 3) to calculate the inverse Laplace: L¯¹{(SI - A)¯¹} =

5. State transition matrix: (t), which is defined as, Calculate analytically the state transition matrix (t) = et = L¯¹{(sI – A)¯¹} Show that the answer is the following, 1 e-4t cos(√2t) - e-4 sin(√2 t) 1 e -4t √2 (t) = et -3 1 -4t sin (√2 t) e COS -4t cos (√2t) + - e sin(√2 t) 2-4t sin(√2 t)| Calculate the following: (SI - A)-1= Use the completion - in - the-square technique (CASE 3) to calculate the inverse Laplace: L¯¹{(SI - A)¯¹} =

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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5. State transition matrix: (t), which is defined as, Calculate analytically the state transition matrix (t) = et = L¯¹{(sI – A)¯¹} Show that the answer is the following, 1 e-4t cos(√2t) - e-4 sin(√2 t) 1 e -4t √2 (t) = et -3 1 -4t sin (√2 t) e COS -4t cos (√2t) + - e sin(√2 t) 2-4t sin(√2 t)| Calculate the following: (SI - A)-1= Use the completion - in - the-square technique (CASE 3) to calculate the inverse Laplace: L¯¹{(SI - A)¯¹} =
Transcribed Image Text:5. State transition matrix: (t), which is defined as, Calculate analytically the state transition matrix (t) = et = L¯¹{(sI – A)¯¹} Show that the answer is the following, 1 e-4t cos(√2t) - e-4 sin(√2 t) 1 e -4t √2 (t) = et -3 1 -4t sin (√2 t) e COS -4t cos (√2t) + - e sin(√2 t) 2-4t sin(√2 t)| Calculate the following: (SI - A)-1= Use the completion - in - the-square technique (CASE 3) to calculate the inverse Laplace: L¯¹{(SI - A)¯¹} =
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