Let ##x(t)\in C^1(\mathbb{R}_+,\mathbb{R}^m)## be a vector-function such that(adsbygoogle = window.adsbygoogle || []).push({});

1) ##\|x(t)\|+\|\dot x(t)\|\to 0## as ##t\to\infty## and

2) for all ##t>0## one has ##\|x(t)\|\le c_1\|\dot x(t)\|##

Is it true that ##\|x(t)\|\le c_2 e^{-c_3t}##? Here ##c_i## are positive constants.

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# A Estimation of a function

Have something to add?

Draft saved
Draft deleted

Loading...

Similar Threads - Estimation function | Date |
---|---|

A LTI Impulse Response Estimation with Point Process Input | Jun 11, 2017 |

I Population estimates | May 18, 2017 |

Error estimate for integral of interpolated function | May 2, 2015 |

Estimating Error Functions for very large values | Sep 14, 2011 |

How to estimate a function that fit well with a curve | Jul 21, 2011 |

**Physics Forums - The Fusion of Science and Community**