Conceptual questions (Short answers please!) (a) Consider the state space system

Question

Conceptual questions (Short answers please!) (a) Consider the state space system x = Ax + Bu y = Cx + Du with B = [1 0 0], C = [1 0 0 1] Is this a valid state-space system? (b) (No Matlab) A system has the following transfer function G(s) = 1/(s + 1)(s + 2)(s + 3). Why could pure proportional feedback drive the system unstable? (c) True or false: Consider a system with a stable loop transfer function L(s). If the gain |L(iomega)| is less than 1 (0 dB) whenever the phase L(iomega) crosses - 180degree, then the closed-loop system is stable (short motivation please!).

Explanation / Answer

A)state space system is invalid bcuz order of the matrices is wrong

B)transfer of the system represents the system is stable,all poles of transfer function is left side only

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