Pure imaginary pair:(a) Centre(b) Focus point(c) Saddle point(d) Stable nodeThe question was asked in examination.I want to ask this question from Controlability and Observability in chapter State Variable Analysis and Design of Control Systems

Pure imaginary pair:(a) Centre(b) Focus point(c) Saddle point(d) Stabl

1.	Pure imaginary pair:(a) Centre(b) Focus point(c) Saddle point(d) Stable nodeThe question was asked in examination.I want to ask this question from Controlability and Observability in chapter State Variable Analysis and Design of Control Systems
Answer» Correct option is (a) Centre Explanation: Pure IMAGINARY PAIR is the nature of the root of the equation that has no real part only has the nature of center for linearized AUTONOMOUS second order SYSTEM.

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