1.

The Positiveness of the coefficients of characteristic equation is necessary as well as sufficient condition for:(a) First order system(b) Second order system(c) Third order system(d) None of the mentionedI had been asked this question during an interview for a job.I'd like to ask this question from Necessary Conditions for Stability and Non-Linear Systems topic in section Stability and Algebraic Criteria of Control Systems

Answer»

The CORRECT option is (c) Third order system

To elaborate: It does not ensure the negativeness of the REAL PARTS of the complex roots of the third or HIGHER order SYSTEMS.



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