## Bilinear Control Processes: with Applications to Engineering, Ecology, and MedicineBilinear Control Processes: with Applications to Engineering, Ecology, and Medicine |

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### Contents

1 | |

21 | |

Chapter III Optimal Control | 53 |

Chapter IV Nuclear and Thermal Control Processes | 110 |

Chapter V Ecologic and Physiologic Control | 151 |

Chapter VI Socioeconomic Systems | 193 |

Author Index | 215 |

219 | |

### Common terms and phrases

adjoint admissible control algorithm analysis analyzed approximated arterial assumed bang—bang bilinear control bilinear model bilinear system Calculus of Variations cardiac output cell Chapter chemostat China compartment compartmental completely controllable computed condition cone continuous Control Theory control value control variable convenient converges coolant corresponding cost functional costate costate equation curve deﬁned derived described dx/dt dynamics economic eigenvalues eigenvector enzyme equations equilibrium point equilibrium set example exists feedback ﬁnite ﬁrst ﬁssion process ﬁxed ﬂow rate ﬂux fuel-optimal given gradient heat transfer identiﬁcation initial input iteration linear in control linear programming mathematical matrix maximum principle minimal minimal realization Mohler and Shen neutron level nuclear ﬁssion number of switchings obtained optimal control parameters pCO2 phase plane piecewise population precursor R(xo rate constraint reachable zone reactivity regulation satisﬁed Section sequence signiﬁcant singular solution speciﬁc steel production STVM switching vector terminal theorem theory time-optimal Time-Varying Systems tion tissue tracer Volterra series York zero