1.27. In this chapter, we introduced a number of general properties of systems. In partic- ular, a system may or may not be (1) Memoryless (2) Time invariant (3) Linear (4) Causal (5) Stable Determine which of these properties hold and which do not hold for each of the following continuous-time systems. Justify your answers. In each example, y(t) de- notes the system output and x(t) is the system input. 0, (d) y(t) { 1²0 = x(t) + x(t2), (g) y(t) = dx(t) dt

1.27. In this chapter, we introduced a number of general properties of systems. In partic- ular, a system may or may not be (1) Memoryless (2) Time invariant (3) Linear (4) Causal (5) Stable Determine which of these properties hold and which do not hold for each of the following continuous-time systems. Justify your answers. In each example, y(t) de- notes the system output and x(t) is the system input. 0, (d) y(t) { 1²0 = x(t) + x(t2), (g) y(t) = dx(t) dt

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...

See similar textbooks

Similar questions

Provide detailed solution for question parts c and d.
Choose T if the statement is always TRUE, otherwise, choose F. 1. The system is stable for all values of K > 0. 2. The root locus has 4 branches. 3. The system plant is Type 0. For a step input: 4. The system can achieve an overdamped response. 5. The system can achieve a critically damped response. 6. The system can achieve an underdamped response. 7. The system can achieve an undamped response. 8. There is a value of K that would yield a 10% overshoot for the output. 9. There is a value of K that would yield a settling time of less than 1 second for the output. 10. A PI controller is needed to reduce the steady-state error to less than 5%. Imaginary Axis (seconds) 15 10 -5 -10 -15 -20 -15 * -10 x Root Locus * -5 Real Axis (seconds ¹¹) 0 5 10
You know that the cost of employing an IC designer (including access to EDA tools, etc.) is US$0.8M. Your estimate is that the productivity of a designer, when working on a IC design project is 10M gates per year. You are embarking on a project to design an IC that is estimated to contain 830M gates and your target time for the project to be completed in 9 months. What would the cost of the design be in US$M to one dp?
H.W: The switch in the circuit shown below has been in position a for a long time. At 1 = 0 the switch is moved to position b. For the position b: a) What is the initial value of vc? b) What is the final value of vc? c) What is the time constant of the circuit ? d) What is the expression for vc(t) when t20? e) What is the expression for i(t) when r 20 ? f) How long after the switch is in position b does the capacitor voltage equal 60 V? g) Plot ve(t) and ic(1) versus t for periods of t=0 till the steady state. R,=40 N R,=400 2 a E, =40 V_ E,=90 V R,= 60 N C=0.5 µF ic
For the figure below: Find the range of K to keep the system stable. Also, determine the value of K so that there will be a 5% error in the steady state. R(s) E(s) K C(s) s-1 g²+ 25 +1
Solve only part (c)
A system said to be BIBO stable when A) The boundary conditions of the system are stable B) There is stability in the overall system C) Every Bounded input results in a bounded output O D) The input and output conditions are stable Zero-state response assumes that the system is in state, O stable rest initial linear
Please fast
(a) Figure Q3(a) shows a system that produces output m(t) from the input x(t) given in Figure 1. BEJ 20203 TOt oril 202 ) 2002 2 x(t) by 2 s(t) d m(t) dt Time advanced by 1 Figure Q3(a) Sketch the signal s(t). (ii) Find the expression for m(t).
Sensor and systems
Which of the following statement(s) are true for a system with Kp = 99 A. The input to the system is ramp B. The system is not stable C. The Kp value will be finite for Type 1 system D. The steady state error = 0.1 E. The system is Type 0
a iig.2, for A(s) = H(s) = 1. Find the values of N, a, b, and K. Determine the values of A(s) and H(s) so that the steady- state error is equal to zero. lincar control system and the corresponding time response to a unit-step input are shown R(s) K C(s) 0.8 S(s +as +i} 0.4 0.2 H(s) Fig.2 Time (sec)