Question: Consider the following state space model. [0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 y =

Consider the following state space model. [0 -1 1 0 0 0

Consider the following state space model. [0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 y = 0 0 0 1x 0 x + u 1 (a) Is the system reachable? Show your work completed by hand. (b) Is the system observable? Show your work completed by hand. (c) Is the system reachable if B = 1 1 1 1? (d) Is the open loop system stable, neutrally stable, or unstable?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The given state space model is represented by x Ax Bu y Cx where the matrices A B and C are given by A 0 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 B 0 0 0 1 C 0 0 0 1 Lets address each part of your question a To ... 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

Students Have Also Explored These Related Mathematics Questions!

Consider the following state of a system with four processes, P1, P2, P3, and P4, and five types of resources, RS1, RS2, RS3, RS4, and RS5: Using the deadlock detection algorithm described in Section...

The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...

Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...

Organizational change is said to be a slow process, yet during the pandemic, there was a rapid shift towards working from home and adapting to that lifestyle. So, maybe that change was unusual...

5. (15 pts.) Consider the following state space model. 1 l 0 .00 x: 000 000 y=0001x (a) Is the system reachable? Show your work completed by hand. (b) Is the system observable? Show your work...

Microkernel operating systems aim to address perceived modularity and reliability issues in traditional "monolithic" operating systems. (i) Describe the typical architecture of a microkernel...

Observability and Controllability of a linear time invariant system Problem 4: Consider the following linear time invariant system: 1 1 0 0 x: 1 1 0 x+lu y=[1 1 l]x 0 0 2 1 4.1. Show that for u(t)=0...

2.7. Explicit Solutions to Dierential Equations 109 power (kw) 20 15 10 5 0 08:00 10:00 12:00 14:00 16:00 time 18:00 2.7 Explicit Solutions to Dierential Equations In the very rare case in which an...

Applied Mathematics and Computation 95 (1998) 181192 Love dynamics: The case of linear couples Sergio Rinaldi 1 Centro Teoria dei Sistemi, CNR, Politecnico di Milano, Via Ponzio 34/5, 20133 Milan,...

Supply Chain Management Introduction Outline What is supply chain management? Significance of supply chain management. Push vs. Pull processes utdallas.edu/~metin 1 A Generic Supply Chain Sources:...

You have been tasked with evaluating the quantitative aspects of the two (2) mutually exclusive projects that Exclusivity Inc. is considering:- to either Repair or Replace an existing machine. The...

Chocolate Delight Company (CDC) makes specialty chocolates and can produce 40 pieces per hour. The firm estimates that the variable cost of producing chocolate is $0.35 per piece and each piece sells...

Beth 5 3 single taxpayer. Made 7 5 0 0 contribution to roth IRA in feb 2 0 2 4 for tax yr 2 0 2 3 . Her income was 1 7 5 , 0 0 0 . what would you tell her about her contribution

Melton River Resort opened for business on June 1 with eight air-conditioned units. Its trial balance before adjustment on August 31 is as follows. In addition to those accounts listed on the trial...

Ravonette Corporation issued 300 shares of $10 par value common stock and 100 shares of $50 par value preferred stock for a lump sum of $13,500. The common stock has a market value of $20 per share,...

AAA Lock Manufacturing Co. makes and sells several models of locks. The cost records for the ZForce lock show that manufacturing costs total $29.00 per lock. An analysis of this amount indicates that...

Mizzou Mining Company mines an iron ore called Alpha. During the month of December, 400,000 tons of Alpha were mined and processed at a cost of $742,500. As the Alpha ore is mined, it is processed...

The real risk-free rate of interest is 3 percent. Inflation is expected to be 2 percent this year and 4 percent during the next 2 years. Assume that the maturity risk premium is zero. What is the...

Which would most likely NOT be involved in stakeholder analysis for a supply chain control system?Question 84 options:a)A shipping clerkb)A manager in the ordering departmentc)A champion from the...

Oliver Owl's night job at the university computing center is to change the tapes used for overnight data backups. While waiting for each tape to complete, he works on writing his thesis that proves...

Suppose that a machine has 38-bit virtual addresses and 32-bit physical addresses. (a) What is the main advantage of a multilevel page table over a single-level one? (b) With a two-level page table,...

The mitigation strategy for improving security despite the continuing presence of vulnerabilities has been very successful. Modern attacks are very sophisticated, often requiring the presence of...

For a fixed alternative value m, show that as for either a one-tailed or a two-tailed z test in the case of a normal population distribution with known s.

Let m denote the mean reaction time to a certain stimulus. For a large-sample z test of versus , find the P-value associated with each of the given values of the z test statistic. a. 1.42 b. .90 c....

A manufacturer of nickel-hydrogen batteries randomly selects 100 nickel plates for test cells, cycles them a specified number of times, and determines that 14 of the plates have blistered. a. Does...