Paper Info

Title | ||
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Nonsquare Spectral Factors of Nonlinear Control Systems in terms of Inner-Inner Factorizations |

Abstract | ||
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This paper considers nonsquare spectral factors of nonlinear input affine state space control systems in continuous time. More specifically, we obtain a parametrization of nonsquare spectral factors in terms of a special class of inner-inner factorizations. Explicit formulas for different classes of spectral factors and related inner systems in terms of solutions of Hamilton--Jacobi equations are provided. Furthermore, the important notion of a minimal inner embedding for nonlinear control systems is introduced and used to derive several relationships between inner systems. |

Year | DOI | Venue |
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2004 | 10.1137/S0363012902409568 | SIAM J. Control and Optimization |

Keywords | Field | DocType |

jacobi equation,nonlinear input affine state,nonlinear control system,inner-inner factorizations,related inner system,minimal inner embedding,space control system,nonsquare spectral factor,nonsquare spectral factors,nonlinear control systems,inner system,continuous time,spectral factor,spectral factorization | Affine transformation,Applied mathematics,Nonlinear system,Embedding,Parametrization,Hamilton–Jacobi equation,Nonlinear control,Mathematical analysis,Control theory,State space,Mathematics,Spectral theorem | Journal |

Volume | Issue | ISSN |

43 | 3 | 0363-0129 |

Citations | PageRank | References |

3 | 0.48 | 1 |

Authors | ||

1 |

Authors (1 rows)

Cited by (3 rows)

References (1 rows)

Name | Order | Citations | PageRank |
---|---|---|---|

Mark A. Petersen | 1 | 16 | 3.11 |