Conceptual questions Short answers please a Consider the sta

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!).

Solution

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