## H [infinity symbol]-optimal control and related minimax design problems: a dynamic game approach |

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### Contents

A General Introduction to Minimax HOptimal Designs | 1 |

Basic Elements of Static and Dynamic Games | 13 |

The DiscreteTime Minimax Design Problem With Perfect | 28 |

Copyright | |

7 other sections not shown

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admits a unique auxiliary problem bounded Chapter Closed-loop perfect CLPS information conjugate point constraint continuous-time corresponding cost function counterpart of Theorem defined denote differential game discrete-time disturbance attenuation problem dynamic game dynamic programming eigenvalue equivalence principle equivalently exists feedback saddle-point solution finite fixed following theorem formulated Furthermore game theory given Hence Hilbert space infimum infinite-horizon information pattern information structure initial interval introduce Kalman filter Lemma linear linear-quadratic matrix maximization minimal minimax attenuation level minimax controller noise insensitive nonlinear nonnegative definite norm notation obtained open-loop optimal controller optimization problem optimum attenuation level orem output pair performance index Player positive definite solution quadratic recursion replaced result Riccati differential equation Riccati equation saddle-point policies saddle-point solution saddle-point value sampled-data sampling satisfied Section sequence soft-constrained game spectral radius strictly concave supremum surjective Theorem 3.2 time-invariant tion trajectory unbounded unique solution upper value vector zero