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The systems with equation such as dx/dt =F (x) are called:

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The systems with equation such as dx/dt =F (x) are called:

(a) Stable systems

(b) Control systems

(c) Autonomous systems

(d) Unstable control system

This question was posed to me by my school teacher while I was bunking the class.

Enquiry is from Liapunov’s Stability Criterion topic in chapter Liapunov’s Stability Analysis of Control Systems

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The correct choice is (c) Autonomous systems

To elaborate: Autonomous systems are represented by the differential equations as stated above and these systems are tested by liapunov’s stability criteria.

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