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A system is said to be stable if _________

A system is said to be stable if _________ Correct Answer the system can be solved for different initial and boundary conditions

A stable system of algebraic equation means that the system can be solved for different boundary conditions and initial conditions to get the flow properties. While varying the boundary conditions, the system should not become unsolvable.

Related Questions

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?
In a town fair 50 people were asked which dessert they liked: ice cream, Donuts, or cupcakes. 28 said they like ice cream, 26 said they like donuts, and 26 said they like cupcakes. 8 said they like all three. 17 said they like donuts and cupcakes, 11 said they like ice cream and cupcakes. 5 said they do not like any of these. Find those people who liked ice cream and donuts but not cupcakes.
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,
If 'banana' is said 'apple', 'apple' is said 'grapes', 'grapes' is said 'mango', 'mango' is said 'cashew', 'cashew' is said 'guava', 'guava' is said 'papaya' then which fruit is known as the king of fruits?
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?
The first element of each of the rows of the Routh-Hurwitz stability test showed the signs as follows: Row I II III IV V Sign + - - + -  Consider the following statements: 1. The system has three roots in the right-half of s-plane. 2. The system has three roots in the left-half of s-plane. 3. The system is stable. 4. The system is unstable. Which of the above statements about the system are correct?
S1: A man handed a pair of trousers to the departmental store-clerk and said,"I'd like these altered, please".
P: He said that free alteration is not possible without a receipt.
Q: The man said,"Okay, I'd like to return the trousers". The clerk took them back and returned his money.
R: The man pushed the money and said,"Now I want to buy them". The clerk put the trousers in a bag, issued receipt and handed him both.
S: The clerk asked for the sales receipt but after searching his pockets the man replied that he had lost it.
S6: Triumphantly he put the trousers and the receipt on the counter and said,'I'd like to have these altered, please."

The Proper sequence should be:
Which of the following statements is/are correct? 1. A system is said to be Finite Impulse Response (FIR), if the output samples of the system depend only on the present input and a finite number of past or previous input samples. 2. If the output of a system y(n) depends only on the present input and past inputs, but not on past outputs, then it is called a non-recursive system. 3. If the output of a system y(n) depends only on the present input and past inputs, but not on past outputs, then it is called a recursive system.