GATE EC 2015 Set 3 — Question 58

Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.
NAT+2 / -0MediumRouth-Hurwitz CriterionStability AnalysisControl Systems

Control Systems → Stability Analysis → Routh-Hurwitz Criterion

Last updated

Question

The characteristic equation of an LTI system is given by F(s)=s5+2s4+3s3+6s24s8=0F(s) = s^5 + 2s^4 + 3s^3 + 6s^2 - 4s - 8 = 0. The number of roots that lie strictly in the left half ss-plane is ______.
Your answer

Enter a number. Decimals, negative values and scientific notation are accepted.

The solution stays hidden until you check.

Continue learning with Success Tracker

A step still unclear? Work through it with support

Use Success Tracker to ask about the reasoning, then try another GATE EC question to check your understanding.

AI-powered practice· Unlimited practice on eligible plans
PYQs with solutions
Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
Practice that adapts
Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
AI doubt support
Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.

Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.

This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.

More questions on Stability Analysis