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Q#1 State Variable Analysis GATE EC 2025 MCQ +2 marks -0.66 marks

Consider a system where , and  are three internal state signals and  is the input signal. The differential equations governing the system are given by

 

Which of the following statements is/are TRUE?

The signals , and  are bounded for all bounded inputs

There exists a bounded input such that at least one of the signals , , and  is unbounded

There exists a bounded input such that the signals , and  are unbounded

The signals , and  are unbounded for all bounded inputs

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