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the 50 values in table 91 are intended to be a random sample from a amp39 standard normal distributiona carry out a
consider a two-way contingency table with three rows and three columns suppose that for i 1 2 3 and j 1 2 3 the
for time-invariant systems show that a b is controllable if and only if -a b is controllable is this true for
a right-hand circularly polarized uniform plane wave traveling in air is incident normally on a flat and smooth water
consider the probability distribution of the discrete random vector xy where x represents the number of oders in august
you have two biased coins coin a comes up heads with probability frac14 coin bcomes up heads with probability frac34
find the state feedback gain for the state equationso that the resulting system has eigenvalues -2 and -1 plusmn j1 use
consider the discrete-time state equation in problem 88 let uk - kxk where p is a feedforward gain for the k in problem
consider the uncontrollable state equationis it possible to find a gain k so that the equation with state feedback u r
is it true that the rank of b ab an-1b equals the rank of ab a2b anb if not under what condition will it be
show that the negative-feedback system shown in fig 25b is bibo stable if and only if the gain a has a magnitude less
consider a system with transfer function s s -2s i what are the steady-state responses excited by ut 3 for t ge 0 and
a real matrix m not necessarily symmetric is defined to be positive definite if xamp39 mx gt 0 for any nonzero x is it
is a system with impulse response gt tau e-2itl-tau for t ge tau bibo stable how about gt tau sin te-t-tau cos
consider a plant with transfer function s 1s - 1 suppose a disturbance of form wet a sin2t theta with unknown
given s s - i5s - 2 implement the model gos -2s - 1s2 25 2 in the open-loop and the unity-feedback configurations
consider a plant with transfer matrixfind a compensator in the unity-feedback configuration so that the poles of the
consider a system with an irrational transfer function s show that a necessary condition for the system to be bibo
is a system with impulse response gt 1t 1 bibo stable how about gt te-tnbspfor t ge
find a realization of gt tau sin te-t - tau cos tau is it possible to find a time-invariant state equation
given a plant with transfer function s s - 1s2 - 4 find a compensator in the unity-feedback configuration so that the
find an equivalent state equation of the equation in problem 44 so that all state variables have their largest
show that the companion-form matrix in problem 314 is nonsingular if and only if alpha ne 0 under this assumption show
show that an n x n matrix has the property ak 0 for k ge m if and only if a has eigenvalues 0 with multiplicity n and
consider the mechanical system shown in fig 227 let i denote the moment of inertia of the bar and block about the hinge