Given the mechanical system in the figure below,
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- A linear time invariant system has three poles at -2, -3, and -10. The system also has two finite-valued zeros at -4 and -5. i) Obtain a state-space representation for the system, i.e. obtain the matrices A, B, C, and D. ii) What are the eigen values of the system matrix, A?It is expressed as the state equations of a linear time invariant system. dx(t) / d(t) = Ax(t)+Bu(t) Find the state transition matrix Փ(t), the characteristic equation and the eigenvalues of A for the following systemAPPLIED DYNAMICS Given the matrices A, B, C and D of a state variable model;determine: a) The state transition matrix Ф (s) and Ф (t), b) Obtain theeigenvalues, c) The global transfer function, c) X1 (t) and Y (t)d) Evaluate question (c) for t = 1.8 sec. Draw the block diagram representing the system of theproblem
- It is expressed as the state equations of a linear time invariant system. dx(t) / d(t) = Ax(t)+Bu(t) Find the state transition matrix Փ(t), the characteristic equation and the eigenvalues of A for the following systems:The differential equations below represent systems where x is the input and y is the output. Determine a) the transfer function of the given systems, b) whether the following systems are stable, or unstable, and c) the number of roots with positive real partThe mathematical models of some continuous time systems are given above. x(t) is the input signal of the system, and y(t) is the output signal of the system. Which of the following systems has fixed parameters and which has variable parameters?
- 2. Write the mathematical equations for the mechanical system given. Also find the transfer functions X1(s)/F(s) and X2(s)/F(s) of the given systemFind the transfer function, GðsÞ ¼ X2ðsÞ=FðsÞ, for the translational mechanical system shown in Figure 2.21.Using exactly seven (7) two-way MUX, implement the following function. f(w, x, y, z) = Σm(0, 1, 3, 7, 11, 13, 15
- Given that f1(a,b,c)=∑m(1,4,5) and f2(a,b,c)=∏M(0,2,3), derive the sum of minterms form of thefunction f1+f2(Signals and Systems) Determine whether the systems with these transfer functions are stable, marginally stable or unstable by determining the poles.Given a causal LTI system h(t) = e-ktu(t), where k>0, determine the zero state response of the system if the input is au(t).