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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
show that jf the additivity property holds then the homogeneity property holds for all rational numbers alpha thus if a
consider a sample x1 xn of normally distributed random variables with mean mu and variance sd2 1a if n 10 what is
let x1 x2 x3nbspbe jointly distributed random variables with zero means unit variances and covariances cov x1 x2 080
the probability that a vending machine in the oxnard university student center will dispense the desired item when
you are shown a coin that its owner says is fair in the sense that it will produce the same number of heads and tails
a man with n keys wants to open his door he tries the keys independently and at random let nnnbspbe the number of
the game of roulette is described in example id find the probability that the total amount of money lost by a gambling
a man plays a game in which his probability of winning or losing a dollar is t let s be the mans fortune that is the