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For which of these problems, the error will be bounded if the system is stable?

For which of these problems, the error will be bounded if the system is stable? Correct Answer Transient problems

For transient problems, a stable system keeps the error bounded when time increases. Stability for a transient problem has special characteristics. Here, stability guarantees that the method gives a bounded solution if the exact solution is bounded.

Related Questions

Consider the following statements for continuous-time linear time invariant (LTI) systems. I. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane. II. There is no causal and BIBO stable system with a pole in the right half of the complex plane. Which one among the following is correct?
Consider the following statements for continuous-time linear time invariant (LTI) systems.
1. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane.
2. There is no causal and BIBO stable system with a pole in the right half of the complex plane.
Which one among the following is correct?
Consider a system whose input r and output y are related by the equation $$y\left( t \right) = \int\limits_{ - \infty }^\infty {x\left( {t - \tau } \right)} h\left( {2\tau } \right)d\tau $$
Signal Processing mcq question image
Where h(t) is shown in the graph
Which of the following four properties are possessed by the system? BIBO: Bounded input gives a bounded output
Causal: The system is causal.
LP : The system is low pass.
LTI: The system is linear and time-invariant.
The input x[n] and output y[n] of a discrete-time system are related as y[n] = αy [n - 1] + x[n]. The condition on α for which the system is Bounded-Input Bounded-Output (BIBO) stable is
Bounded-input bounded-output stability implies asymptotic stability for 1. Completely controllable system 2. Completely observable system 3. Uncontrollable system 4. Unobservable system Which of the above statements are correct?
Imagine, you are solving a classification problems with highly imbalanced class. The majority class is observed 99% of times in the training data. Your model has 99% accuracy after taking the predictions on test data. Which of the following is true in such a case?
1. Accuracy metric is not a good idea for imbalanced class problems.
2.Accuracy metric is a good idea for imbalanced class problems.
3.Precision and recall metrics are good for imbalanced class problems.
4.Precision and recall metrics aren't good for imbalanced class problems.
The transfer function of a discrete time LTI system is given by
$$H\left( z \right) = {{2 - {3 \over 4}{z^{ - 1}}} \over {1 - {3 \over 4}{z^{ - 1}} + {1 \over 8}{z^{ - 2}}}}$$
Consider the following statements:
S1 : The system is stable and causal for
$$ROC:\left| z \right| > {1 \over 2}$$
S2 : The system is stable but not causal for
$$ROC:\left| z \right| S3 : The system is neither stable nor causal for
$$ROC:{1 \over 4} Which one of the following statements is valid?
If a system do not have a bounded output for bounded input, then the system is said to be __________
Consider the following statements related to stability of the control system : 1. Poles in right half-plane (rhp) yield pure exponential decaying natural response. 2. If poles of multiplicity greater than one are present on the imaginary axis, then the system is marginally stable, 3. If one pole is present in right-half plane, the system is unstable. 4. A system is stable if the natural response approaches zero as time approaches  infinity. Which of the above statements is/are not correct ?  
Let h(t) denote the impulse response of a causal system with transfer function $${1 \over {s + 1}}.$$  Consider the following three statements:
S1 : The system is stable.
S2 : $${{h\left( {t + 1} \right)} \over {h\left( t \right)}}$$  independent of t for t > 0.
S3 : A non-causal system with the same transfer function is stable.
For the above system,