Question: Derive the linearized model for the nonlinear system, described by [begin{cases}dot{x}_{1}=x_{1}left|x_{1} ight|+x_{2}-1+sin t & x_{1}(0)=-1 dot{x}_{2}=-x_{1}-x_{2}-1 & x_{2}(0)=0end{cases}]

Derive the linearized model for the nonlinear system, described by

\[\begin{cases}\dot{x}_{1}=x_{1}\left|x_{1}\right|+x_{2}-1+\sin t & x_{1}(0)=-1 \\ \dot{x}_{2}=-x_{1}-x_{2}-1 & x_{2}(0)=0\end{cases}\]

Step by Step Solution

★★★★★

3.31 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To derive the linearized model for the given nonlinear system we first need to find the equilibrium ... View full answer

blur-text-image
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 Systems Analysis And Design Questions!

Q:

Q1. You have identified a market opportunity for home media players that would cater for older members of the population. Many older people have difficulty in understanding the operating principles...

Q:

(i) Write down the linear program relaxation for the vertex cover problem and solve the linear program. [6 marks] (ii) Based on the solution of the linear program in (b)(i), derive an integer...

Q:

Miller-Rabin test to check whether a number N is composite. This will involve computing a N1 mod N for some value of a. [10 marks] Carry out the steps for N = 65 and a = 1, 2, 8 and 12. on what each...

Q:

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,...

Q:

This is non linear control system questions. Please give me answers. 1. Question One [15 marks total] a) An engineer considers the stability of an aircraft which has malfunctioned. The aircraft...

Q:

Solving Two-stage Robust Optimization Problems by A Constraint-and-Column Generation Method Bo Zeng Department of Industrial and Management Systems Engineering University of South Florida, Email:...

Q:

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

Q:

(a) In SystemVerilog, what is the difference between: (i) The ternary operator ? and if...then...else statements? [2 marks] (ii) always_ff and always_comb? [2 marks] (iii) Blocking, non-blocking and...

Q:

Fraction of hosts infected Case Study 2 Hosts, Parasites, and Time-Travel 0.8 0.6 0.4 0.2 0 Past Contemporary Future Time Figure \u00031 Horizontal axis is the time from which the parasite was taken,...

Q:

dee complete please help Complexity Theory (a) Defifine the set of Boolean expressions 2CNF and the language 2SAT over them. (b) For a Boolean expression in 2CNF, let G() be the directed graph with...

Q:

Chad Davis, vice president for operations at C&C Sports, is considering different strategies for managing the companys inventory. Earlier in the year, the company implemented a more systematic...

Q:

In New York, you can exchange $1 for 0.7778 or 0.6619. Suppose that, in Berlin, 1 pound costs 1,151. How much profit can you make on $17,120 using triangle arbitrage?

Q:

Question 1 6 Referring to the Pell Corporation problem, what is sensitivity to the NPV given a one unit change in production? Round to the nearest whole dollar. \ $ 1 , 0 9 8 change in NPV None of...

Q:

4 What is an FTZ? What are its benefits?

Q:

In a single-phase ac circuit, for a general load composed of RLC elements under sinusoidal-steady-state excitation, the average reactive power is given by (a) V rms I r m s cos V rms I r m s cos ...

Q:

The average power in a single-phase ac circuit with a purely capacitive load, for sinusoidal-steady-state excitation, is (a) Zero (b) \(\mathrm{V}_{\max }^{2} / X_{\mathrm{C}}\) (c)...

Q:

The average power in a single-phase ac circuit with a purely inductive load, for sinusoidal-steady-state excitation, is (a) \(\mathrm{I}^{2} X_{\mathrm{L}}\) (b) \(\mathrm{V}_{\max }^{2} /...

Q:

Checking Account Reconciliation Statement date: September 16, 2017 Statement balance (Enter balance from statement): $2,498 Step 1: Subtract total of outstanding checks (checks that you have written...

Q:

Hello, I need some help with the adjusted trial balance for this question for this accounting assignment. Please show work! Thank you! Required information Exercise 8-19 (Algo) Complete the...

Q:

Wrong answers will be downvoted and reported. Suppose that your firm manufactures rubber chickens. Monthly demand for the chickens is 3 3 , 0 0 0 units. Setup cost per order is $ 8 5 , and the annual...