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Question: equation from q1...

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Question 3- Stability and state space Continuous-time (i) Describe briefly how the roots of the characteristic polynomial appear in the impulse response from Question 1 (ii) Show that the impulse response h(t) satisfies h(t) dt0o if and only if the roots of the characteristic polynomial have strictly negative real parts. Remember the roots can ccur in complex conjugate pairs for a characteristic polynomial with real coefficients iii) Make a succinct statement of a BIBO stability condition for a continuous-time LTI system. iv) Write the differential equation (I) from Question 1 in state-space form. (v) Determine the characteristic equation of the A-matrix and find its roots. These are the eigenvalues of A. (vi) Make a succinct statement of a BIBO stability condition for a continuous-time LTI system in state-space form.

Equation from Q1:

dt

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