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The graph of the updating function of each DDS is given. Estimate the equilibrium value(s) of eac...
Consider the DDS given by xn+,--0.5xn + 45. a) Find the equilibrium algebraically. b) Use the slo...
Consider the DDS given by xn+,--0.5xn + 45. a) Find the equilibrium algebraically. b) Use the slope criterion to determine the stability of the equilibrium c) Cobweb to verify the answer you get from part b). #4 50 20 30 40 50X 0 10 #5 Consider the DDS given by xn +1--1.5x" + 10. a) Find the equilibrium algebraically. Cobweb to determine the stability of the equilibrium. b) 12 10 0 2 46 8 10 12 14
Consider the DDS...
Ah #2 Consider the model given by Pn..-06h +4. a) Find the equilibrium algebraically b) Graph the...
Ah #2 Consider the model given by Pn..-06h +4. a) Find the equilibrium algebraically b) Graph the updating function together with the identity function c) Cobweb to determine the stability of the equilibrium Determine the stability of the equilibrium value. the updating function is shifted up by 2, that is, Pa. equilibrium and its stability? 0.6P. + 6, how would it affect the nel 14 0 24 610 12 14
Ah #2 Consider the model given by Pn..-06h +4. a)...
2.0. When will the value be between 8. +1 0.0 and 0.2? ider the linear discrete-time dynamical sy...
number 12.
2.0. When will the value be between 8. +1 0.0 and 0.2? ider the linear discrete-time dynamical system y 1.0). For each of the following values of m, 1.0+m(),- a. Find the equilibrium. b. Graph and cobweb c. Compare your results with the stability condition. 10. m 1.5. 11, m=-0.5 13-16 IG . The following discrete-time dynamical systems have slope ekactly 1 at the equilibrium. Check this, and then iterate the librum to see
2.0. When will the...
Use the given graph to estimate the value of each derivative y) 1 0 (a) ro)...
Use the given graph to estimate the value of each derivative y) 1 0 (a) ro) (b) (1) (c) (2) (d) 13) (15)
FF3:38 3A23B 57% . Grades (1 point) Hassell's model is often used to study populations of insects...
FF3:38 3A23B 57% . Grades (1 point) Hassell's model is often used to study populations of insects. Suppose that the updating function for the population of a species of moth P in a sample plot is given by Problems 0.003P)2 Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20...
1. (2 pts each) The graph of some unknown function f is given below. 10 6/ 8-64-2 624 10 12 Use the graph to estimate the following quantities: (0 f (9) (g) f(4) b) lim (a) lim (e) (d) lim ( 6)...
1. (2 pts each) The graph of some unknown function f is given below. 10 6/ 8-64-2 624 10 12 Use the graph to estimate the following quantities: (0 f (9) (g) f(4) b) lim (a) lim (e) (d) lim ( 6) (e) lim f(x) (c) lim f(x) if g(x)f(x) 6) a value of r where f is continuous but not differentiable (k) a value of r where f"(x) 0 and f"(x)>0 (1) the location of a relative maximum value...
5. For each of the following, determine if the system is underdamped, undamped, critically damped or overdamped ad sket...
5. For each of the following, determine if the system is underdamped, undamped, critically damped or overdamped ad sketch the it step response (a) G (s) = (c) G(s)-t 2+68+ (d) G (s) = 36 6. The equation of motion of a rotational mechanical system is given by where θ° and θί are respectively, output and input angular displace- ments. Assuming that all initial conditions are zero, determine (a) the transfer function model. (b) the natural frequency, w natural frequency,...
Problem 1 Y(s) Given G(s) H(s) 0(s)-1 a) Determine the transfer function T(s) of the system above. b) Determine the mamber of RHP or L.HP poles of the system. Is tdhe system stable? Why or why no?...
Problem 1 Y(s) Given G(s) H(s) 0(s)-1 a) Determine the transfer function T(s) of the system above. b) Determine the mamber of RHP or L.HP poles of the system. Is tdhe system stable? Why or why no? c) H HG) were modified as follows. Determine the system stability as a function of parameter k, i.e, what is the minimal value of k required to keep the system stable? d) Sketch Bode the plot for T(s) including data 'k, derived from...
5. For each of the following, determine if the system is underdamped, undamped, critically damped or...
5. For each of the following, determine if the system is underdamped, undamped, critically damped or overdamped ad sketch the it step response (a) G (s) = (c) G(s)-t 2+68+ (d) G (s) = 36 6. The equation of motion of a rotational mechanical system is given by where θ° and θί are respectively, output and input angular displace- ments. Assuming that all initial conditions are zero, determine (a) the transfer function model. (b) the natural frequency, w natural frequency,...
Problem 1 (6.25 points): For Gc(s)- (S+Ziag/(s+Piag) and the system transfer function given below...
Problem 1 (6.25 points): For Gc(s)- (S+Ziag/(s+Piag) and the system transfer function given below, complete the following: . Sketch the Root Locus diagram forzlag-1.125 and plag-0.5. Qualitatively describe the closed-loop system stability and transient characteristics for 0 <K< For r(t) 2.2, analytically determine the steady state error. . For r(t)-22, zlag-1.125, plag = 0.5, and K-2, simulate the closed- loop system response and determine the steady state error, 2% settling time, and percent overshoot graphically. G(s)-16 (s+2)(s+4)
Problem 1 (6.25...
Consider the DDS given by xn+,--0.5xn + 45. a) Find the equilibrium algebraically. b) Use the slope criterion to determine the stability of the equilibrium c) Cobweb to verify the answer you get from part b). #4 50 20 30 40 50X 0 10 #5 Consider the DDS given by xn +1--1.5x" + 10. a) Find the equilibrium algebraically. Cobweb to determine the stability of the equilibrium. b) 12 10 0 2 46 8 10 12 14
Consider the DDS...
Ah #2 Consider the model given by Pn..-06h +4. a) Find the equilibrium algebraically b) Graph the updating function together with the identity function c) Cobweb to determine the stability of the equilibrium Determine the stability of the equilibrium value. the updating function is shifted up by 2, that is, Pa. equilibrium and its stability? 0.6P. + 6, how would it affect the nel 14 0 24 610 12 14
Ah #2 Consider the model given by Pn..-06h +4. a)...
number 12.
2.0. When will the value be between 8. +1 0.0 and 0.2? ider the linear discrete-time dynamical system y 1.0). For each of the following values of m, 1.0+m(),- a. Find the equilibrium. b. Graph and cobweb c. Compare your results with the stability condition. 10. m 1.5. 11, m=-0.5 13-16 IG . The following discrete-time dynamical systems have slope ekactly 1 at the equilibrium. Check this, and then iterate the librum to see
2.0. When will the...
Use the given graph to estimate the value of each derivative y) 1 0 (a) ro) (b) (1) (c) (2) (d) 13) (15)
FF3:38 3A23B 57% . Grades (1 point) Hassell's model is often used to study populations of insects. Suppose that the updating function for the population of a species of moth P in a sample plot is given by Problems 0.003P)2 Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20...
1. (2 pts each) The graph of some unknown function f is given below. 10 6/ 8-64-2 624 10 12 Use the graph to estimate the following quantities: (0 f (9) (g) f(4) b) lim (a) lim (e) (d) lim ( 6) (e) lim f(x) (c) lim f(x) if g(x)f(x) 6) a value of r where f is continuous but not differentiable (k) a value of r where f"(x) 0 and f"(x)>0 (1) the location of a relative maximum value...
5. For each of the following, determine if the system is underdamped, undamped, critically damped or overdamped ad sketch the it step response (a) G (s) = (c) G(s)-t 2+68+ (d) G (s) = 36 6. The equation of motion of a rotational mechanical system is given by where θ° and θί are respectively, output and input angular displace- ments. Assuming that all initial conditions are zero, determine (a) the transfer function model. (b) the natural frequency, w natural frequency,...
Problem 1 Y(s) Given G(s) H(s) 0(s)-1 a) Determine the transfer function T(s) of the system above. b) Determine the mamber of RHP or L.HP poles of the system. Is tdhe system stable? Why or why no? c) H HG) were modified as follows. Determine the system stability as a function of parameter k, i.e, what is the minimal value of k required to keep the system stable? d) Sketch Bode the plot for T(s) including data 'k, derived from...
5. For each of the following, determine if the system is underdamped, undamped, critically damped or overdamped ad sketch the it step response (a) G (s) = (c) G(s)-t 2+68+ (d) G (s) = 36 6. The equation of motion of a rotational mechanical system is given by where θ° and θί are respectively, output and input angular displace- ments. Assuming that all initial conditions are zero, determine (a) the transfer function model. (b) the natural frequency, w natural frequency,...
Problem 1 (6.25 points): For Gc(s)- (S+Ziag/(s+Piag) and the system transfer function given below, complete the following: . Sketch the Root Locus diagram forzlag-1.125 and plag-0.5. Qualitatively describe the closed-loop system stability and transient characteristics for 0 <K< For r(t) 2.2, analytically determine the steady state error. . For r(t)-22, zlag-1.125, plag = 0.5, and K-2, simulate the closed- loop system response and determine the steady state error, 2% settling time, and percent overshoot graphically. G(s)-16 (s+2)(s+4)
Problem 1 (6.25...
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