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AIEE analysis of closed-loop analysis of sampled-data analyzed in Section Chapter characteristic equation CK(s coefficients component conditions on G(s considered CVJ CM cz(m Cz(s difference equations due to C-^s elementary functions evaluated expression for C(s,K Farmanfarma finite sampling finite width pulses forward link functions of 3.4 Gb(s Gg(s Gn(s initial conditions input interval KT K+l)T KT+h Laplace transform taken limit cycle linear functions modified z-transform number seven open-loop system output of S2 output of sampler partial fraction expansion periodic samplers poles of G(s polynomials Pq function Pulse Width Qj(K ra ra rbz(m response of Ga(s sampled-data control systems sampled-data systems sampler S2 sampling time h Section 3.3 seven of Table shown in Fig single-loop system single-sampler system system of Fig systems with finite t-KT Taking the z-transform thesis transfer function two-sampler closed-loop system two-sampler system unknown functions variable written zero