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Repeat Exercise 34 for a system whose response x(t) to an input u(t) is determined by the differential equation
Repeat Exercise 34
The response x(t) of a system to a forcing function u(t) is determined by the differential equation model
(a) Determine the transfer function characterizing the system.
(b) Write down the characteristic equation of the system. What is the order of the system?
(c) Determine the transfer function poles and zeros, and illustrate them diagrammatically in the s plane.
Consider the following one-commodity Samuelson model. e = (1, 1), u(x0 , x1) = min(3x0 + x1, 2x0 + 5x1). (a) Show the set of feasible stationary allocations in a diagram. Show indifference curves in the diagram.
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