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zTRANSFORM METHOD OF SOLUTION
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absolute convergence Analysis assume calculated Chapter characteristic equation closed form contour contour integration convergence convolution theorem convolution z-transform defined determinant difference equation differential equation discussed evaluate example f(nT FIGURE PROB finite given Hence initial conditions input inside the unit integral inverse z-transform Jury Laplace transform limit cycle Linear Discrete Systems Linear Systems Markov process matrix modified z-transform nonlinear discrete systems noted number of roots operator output poles polynomial power series preceding problem procedure pulse Pulse-width modulated readily obtain relationship residue response roots inside Sampled-Data Control Systems Sampled-Data Systems sampling instants sampling period sequence shown in Fig simplified singular solved stability constraints steady-state Substituting summation table form theorem time-varying Trans transfer function unit circle unit step yields York z-forms z-plane z-transform method z-transform of equation z-transform theory zero Zero-order hold