## State models, transfer functions, and simulation |

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### Contents

Further Comments on the Concept of States | 2 |

State Model for Physical Systems | 7 |

State Models from Transfer Functions | 9 |

11 other sections not shown

### Common terms and phrases

analog or digital analog simulation bang-bang control basic behavior capacitor voltages characteristic polynomial circuit of Fig coefficients concept consider control signal corresponding decomposition derived described determine diagram of Fig digital simulation directly dynamical systems eigenvalues electric circuit energy storage evaluation example factoring feedback loops feedback paths first-order differential equations Hence illustrated inductor initial conditions integrators interest inverted pendulums involving linear loop gains Mason's formula matrix measured mittance model of Fig modern control network synthesis numerical analysis output parameters partial fraction expansion partial-fraction pendulums physical system physical variables poles preceding sections probability problem procedure recurrence relations Routh sampling period set of equations shown in Fig signal flow diagram signal flow graph simple simplified simultaneous simultaneous equations solution specified stability system of Fig third consecutive head third-order three consecutive heads toss touch all loops transfer function unity branch unity transmittance unstable zero