Handout 4: Root-Locus Review Eric Feron Feb17,2004 Summary of Guidelines for plotting a root-locus 1. Mark Poles X and Zeros O 2. Draw the locus on the real axis to the left of an odd number of real poles plus zeros
An alternative to the NPV Rule for Capital Investments Define stochastic processes for the key underlying variables and use risk- neutral valuation This approach (known as the real options approach) is likely to do a better job at valuing growth options, abandonment options, etc than NPV
Exercise for home study O&W4.47 tea this problem examines the Fourier transform of a continuous-time LTI system with a real, causal impulse response, h(t) (a) To prove that H(w) is completely specified by eh(u) for a real and causal h(t) lore the even part of a function, he(t)
Estimation of the inputs A computer exercise using real data Implementation problem and some solutions Estimation results in uncertainty Shrinkage and Bayesian inference to deal with uncertainty Imposing restrictions
3.1 Discrete-Time Fourier Transform Definition- The discrete-time Fourier transform (DTFT) X(eio) of a sequence x[n] is given by jae In general,() is a complex function of the real variable and can be written as X(eio) Xre(eio) +j Xim(eio)
Eco514 Game Theory Problem Set 4: Due Tuesday, November 9 1. Machines Extend Proposition 151.1 (the Perfect Folk Theorem with discounting) to arbitrary mixtures of payoff profiles of the original game G =(, (A Ui) ) Allow for both rational and real weights on the set of profiles {u(a): a E A}; note that the statement of the result will involve an approximation of the payoff profile
Ⅱ. Listening skills W: How much money is the rent for an apartment in this neighborhood M: Your rent should be about a quarter of that Q How much should be the woman's rent be? 2. M: I paid $3, 500 for this digital camera. It was on sale at a 30$ discount w: Its a real bargain
Summary of rules for plotting root locus Rule #l The starting points and the End points of the root locus(根轨迹的起点和终点) Rule #2 The Segments of the Root Locus on the Real axis(实轴上的根轨迹)