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#A BIBO STABILITY CONDITION FOR A CONTINUOUS TIME LTI SYSTEM ISO#
If the A- matrix of the state space model of a S ISO linear time invariant system is rank deficient, the transfer function of the system must have GATE-Instrumentational Engineering-2013Ĭonsider a causal second-order system with the transfer function G(s) = 1/ (1 + 2s + s 2) with a unit-step R(s) = 1/ s as an input. Which one of the following statements about the system is TRUE? Which one of the following options correctly describes the locations of the roots of the equationĪ discrete-time all-pass system has two of its poles at 0.25ïƒ∀ and 2ïƒ∃0. Which one of the following impulse responses is NOT the output of a causal linear time-invariant system?
The symbols, a and T, represent positive quantities, and u(t) is the unit step function. Frequency-domain condition for linear time invariant systems. The zero at the origin has multiplicity 4. The proof for continuous-time follows the same arguments. The pole-zero diagram of a causal and stable discrete-time system is shown in the figure. Which of the following statements is NOT TRUE for a continuous time causal and stable LTI system? GATE-Instrumentational-Engineering-2013Ī system is defined by its impulse response h(n) =2^nu(n-2). The input x(t) and the output y (t) of a continuous-time system are related asĪ closed-loop control system is stable if the Nyquist plot of the corresponding open-loop transfer function. The system is BIBO stable if (A) 0 3 (C) 0 6Ĭonsider a single input single output discrete-time system with x as input and y as output, where the two are related as
The characteristic equation of a linear time-invariant (LTI) system is given by ∆(s) = s^4 + 3s/3 + 3s/2 + s + k = 0. The condition on α for which the system is Bounded-Input Bounded-Output (BIBO) stable is
The input x and output y of a discrete-time system are related as y = αy + x. Which one among the following is correct?Ĭonsider the following statements for continuous-time linear time invariant (LTI) systems There is non causal and BIBO stable system with a pole in the right half of the complex plane. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane. Consider the following statements for continuous-time linear time invariant (LTI) systems.
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