EC > GATE 2025 > State Space Analysis
Consider a system where x1(t), x2(t), and x3(t) are three internal state signals and u(t) is the input signal. The differential equations governing the system are given by
Which of the following statements is/are TRUE?
A
The signals x1(t), x2(t) and x3(t) are bounded for all bounded inputs
B
There exists a bounded input such that at least one of the signals x1(t), x2(t) and x3(t) is unbounded
C
There exists a bounded input such that the signals x1(t), x2(t), and x3(t) are unbounded
D
The signals x1(t), x2(t), and x3(t) are unbounded for all bounded inputs

Correct : b

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