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The StateSpace Description of a System
b The Standard Form of the State Equations
c Converting Differential Equations to State
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2TTW angle of departure asymptotes bandlimited bandpass filter bandwidth branches break-away points calculated capacitor characteristic equation circuit closed-loop system coefficients column vector complex envelope convolution theorem curve defined delta-function delta-response Derive determine difference equation differential equation discrete-time filter eigenvalues electrical network exponential Fourier series F(jw fast Fourier transform fluxes formula Fourier integral Fourier transform function s(t gain H(ju imaginary axis impulse response inductors infinity initial values input x[k interval KF(p kflt Laplace transform linear system matrix modulation multiplying negative network in Fig Nyquist plot obtain open-loop poles open-loop transfer function open-loop zeros output partial fractions periodic function periodic signal Problem real axis resistors right half-plane right-eigenvectors root locus sequence Show shown in Fig signal s(t sinusoidal solve stick balancer system is stable temporal mode time-invariant unstable variables wave write z-transform zero-input response zero-state response