## Abstract

We pose, and solve, the problem of minimizing the entropy of an H_{∞}-norm bounded and stabilized closed-loop. Solution proceeds via the equivalent error system distance problem. The central member of the admissible class is shown to minimize the entropy at infinity, and in that case an explicit state-space formula is derived for the minimum value of the entropy. Links between entropy, H_{2}-norms and H_{2}-optimal control are given.

Original language | English |
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Pages (from-to) | 193-199 |

Number of pages | 7 |

Journal | Automatica |

Volume | 27 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jan 1991 |

Externally published | Yes |

## Keywords

- control systems synthesis
- Multivariable control systems
- optimal control
- robust control
- state space
- suboptimal control

## ASJC Scopus subject areas

- Control and Systems Engineering
- Electrical and Electronic Engineering

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