Question: A system is described by the two differential equations dy/dt + y - 2u + aw = 0, and dw/dt - by + 4u =

A system is described by the two differential equations
dy/dt + y - 2u + aw = 0,
and
dw/dt - by + 4u = 0,
where w and y are functions of time, and u is an input u(t).
(a) Select a set of state variables,
(b) Write the matrix differential equation and specify the elements of the matrices,
(c) Find the characteristic roots of the system in terms of the parameters a and b.

Step by Step Solution

★★★★★

3.48 Rating (174 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Select the state variables as x1 y ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

835-C-S-S-A-D (1484).docx

120 KBs Word File

Students Have Also Explored These Related Systems Analysis And Design Questions!

A system is described by the state variable equations Determine G(s) = Y(s)/U(s). 004 10 10 0 131 [1 142 y

A system is described by x = Ax + Bu where and x1(0) = x2(0) = 10. Determine x1(t) and x2(t). 0 2 2

A system is described by the matrix equations Determine whether the system is controllable and observable. 2 2

How do I review the attached articles? I want to have it review them to able to compare with what I have done so far. American Economic Association Corporate Income Taxes and the Cost of Capital: A...

Divvy Bikes Background Information: Divvy is a bicycle sharing system in the City of Chicago and two adjacent suburbs that is operated by Motivate for the City of Chicago Department of...

"PCAOB Inspection Reports for KPMG" is an excellent topic. Summarize 3 reports - 2010, 2012 & 2014.At least 6 references are needed - 3 academic & 3 practitioner (short articles).Please follow the...

Read the text in photos and answer the following question As in most areas of life and work, advances in information technology have focused attention on the importance of good information systems to...

As in most areas of life and work, advances in information technology have focused attention on the importance of good information systems to support logistics and distribution activities. The...

Overview: The operating system serves as an interface between hardware and applications. It abstracts the details related to CPU scheduling, memory management, and responding to hardware interrupts...

The Purpose of the Romeo Engine Plant is to produce the highest quality production engines in the world that meet all of our customers' requirements at a cost lower than the competition, and to...

On August 3, 2007, the date of incorporation, the Quinn Company accepts separate subscriptions for 1,000 shares of $100 par preferred stock at $104 per share and 9,000 shares of no-par,...

Exercise 13. 10 presented y = hardness of molded plastic and x = time elapsed since the molding was completed. Summary quantities included a. Calculate the estimated standard deviation of the...

2010 1.34 2003

The data in Table 6.9 are from a study, conducted by L. Doi where the goal is to understand how well certain measures predict reading ability in children. Verify that the 0.95 confidence interval for...

First, develop a three-layer architectural design of the book exchange system. In Chapter 7 you developed a use case diagram, a class diagram, and a system sequence diagram for the use cases add a...

This chapter presented the solutions for two use cases for RMO Look up item availability and Process new order. Design three layer solutions for two more use cases, Create new order and Record order...

In Chapter 7, you developed a use case diagram, a domain model class diagram, and detailed documentation for three use cases. In your detailed documentation, you generated a fully developed...

A machine consists of two components. The lifetimes of the two components are identically distributed with the following density function: fX(ID) : { %e_3\"+ ge\" fora: > 0 0 otherwise Suppose the...

As a result of improvements in product engineering, United Automation is able to sell one of its two milling machines. Both machines perform the same function but differ in age. The newer machine...

516 Derek will deposit $5,093.00 per year for 13.00 years into an account that eams 15.00%. Assuming the first deposit is made 6.00 years from today, how much will be in the account 40.00 years from...