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For non-linear systems stability cannot be determined due to:
- a)Possible existence of multiple equilibrium states
- b)No correspondence between bounded input and bounded output stability and asymptotic stability
- c)Output may be bounded for the particular bounded input but may not be bounded for the bounded inputs
- d)All of the mentioned
Correct answer is option 'D'. Can you explain this answer?
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For non-linear systems stability cannot be determined due to:a)Possibl...
Explanation: For non-linear systems stability cannot be determined as asymptotic stability and BIBO stability concepts cannot be applied, existence of multiple states and unbounded output for many bounded inputs.
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For non-linear systems stability cannot be determined due to:a)Possibl...
Possible existence of multiple equilibrium states:
In non-linear systems, multiple equilibrium states can exist, which means that the system can have different stable and unstable states depending on the initial conditions. This makes it challenging to determine the stability of the system as it may exhibit different behaviors based on the starting point. Therefore, stability cannot be easily determined in the presence of multiple equilibrium states.
No correspondence between bounded input and bounded output stability and asymptotic stability:
In non-linear systems, there is no direct relationship between bounded input and bounded output stability. Unlike linear systems where bounded input leads to bounded output, non-linear systems can exhibit complex behaviors such as limit cycles, chaos, or other non-periodic patterns. Therefore, the stability of a non-linear system cannot be determined solely based on the boundedness of the input and output.
Output may be bounded for the particular bounded input but may not be bounded for the bounded inputs:
Non-linear systems can have different responses to different inputs. It is possible that for a specific bounded input, the output of the system remains bounded. However, for other bounded inputs, the output may become unbounded or exhibit unpredictable behavior. This lack of predictability makes it difficult to determine the stability of non-linear systems.
All of the mentioned:
Considering the above points, it is clear that all of the mentioned reasons contribute to the difficulty in determining stability for non-linear systems. The existence of multiple equilibrium states, the lack of correspondence between bounded input and bounded output stability, and the possibility of unbounded behavior for certain bounded inputs make stability analysis challenging for non-linear systems. Therefore, stability cannot be determined conclusively for non-linear systems.
In non-linear systems, multiple equilibrium states can exist, which means that the system can have different stable and unstable states depending on the initial conditions. This makes it challenging to determine the stability of the system as it may exhibit different behaviors based on the starting point. Therefore, stability cannot be easily determined in the presence of multiple equilibrium states.
No correspondence between bounded input and bounded output stability and asymptotic stability:
In non-linear systems, there is no direct relationship between bounded input and bounded output stability. Unlike linear systems where bounded input leads to bounded output, non-linear systems can exhibit complex behaviors such as limit cycles, chaos, or other non-periodic patterns. Therefore, the stability of a non-linear system cannot be determined solely based on the boundedness of the input and output.
Output may be bounded for the particular bounded input but may not be bounded for the bounded inputs:
Non-linear systems can have different responses to different inputs. It is possible that for a specific bounded input, the output of the system remains bounded. However, for other bounded inputs, the output may become unbounded or exhibit unpredictable behavior. This lack of predictability makes it difficult to determine the stability of non-linear systems.
All of the mentioned:
Considering the above points, it is clear that all of the mentioned reasons contribute to the difficulty in determining stability for non-linear systems. The existence of multiple equilibrium states, the lack of correspondence between bounded input and bounded output stability, and the possibility of unbounded behavior for certain bounded inputs make stability analysis challenging for non-linear systems. Therefore, stability cannot be determined conclusively for non-linear systems.
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For non-linear systems stability cannot be determined due to:a)Possible existence of multiple equilibrium statesb)No correspondence between bounded input and bounded output stability and asymptotic stabilityc)Output may be bounded for the particular bounded input but may not be bounded for the bounded inputsd)All of the mentionedCorrect answer is option 'D'. Can you explain this answer?
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For non-linear systems stability cannot be determined due to:a)Possible existence of multiple equilibrium statesb)No correspondence between bounded input and bounded output stability and asymptotic stabilityc)Output may be bounded for the particular bounded input but may not be bounded for the bounded inputsd)All of the mentionedCorrect answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about For non-linear systems stability cannot be determined due to:a)Possible existence of multiple equilibrium statesb)No correspondence between bounded input and bounded output stability and asymptotic stabilityc)Output may be bounded for the particular bounded input but may not be bounded for the bounded inputsd)All of the mentionedCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For non-linear systems stability cannot be determined due to:a)Possible existence of multiple equilibrium statesb)No correspondence between bounded input and bounded output stability and asymptotic stabilityc)Output may be bounded for the particular bounded input but may not be bounded for the bounded inputsd)All of the mentionedCorrect answer is option 'D'. Can you explain this answer?.
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For non-linear systems stability cannot be determined due to:a)Possible existence of multiple equilibrium statesb)No correspondence between bounded input and bounded output stability and asymptotic stabilityc)Output may be bounded for the particular bounded input but may not be bounded for the bounded inputsd)All of the mentionedCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for For non-linear systems stability cannot be determined due to:a)Possible existence of multiple equilibrium statesb)No correspondence between bounded input and bounded output stability and asymptotic stabilityc)Output may be bounded for the particular bounded input but may not be bounded for the bounded inputsd)All of the mentionedCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of For non-linear systems stability cannot be determined due to:a)Possible existence of multiple equilibrium statesb)No correspondence between bounded input and bounded output stability and asymptotic stabilityc)Output may be bounded for the particular bounded input but may not be bounded for the bounded inputsd)All of the mentionedCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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