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2003 The Riccati Equation: Pinching of Forcing and Solutions
Marlies Gerber, Boris Hasselblatt, Daniel Keesing
Experiment. Math. 12(2): 129-134 (2003).

Abstract

A problem at the interface of differential geometry and dynamical systems gives rise to the question of what control of solutions of the Riccati equation {$\dot x+x^2=k(t)$} with positive right-hand side can be obtained from control of the forcing term k. We show that a known result about "relative'' pinching is optimal and refine two known theorems. This gives improved regularity of horospheric foliations and may be of interest in control or filtering theory.

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Marlies Gerber. Boris Hasselblatt. Daniel Keesing. "The Riccati Equation: Pinching of Forcing and Solutions." Experiment. Math. 12 (2) 129 - 134, 2003.

Information

Published: 2003
First available in Project Euclid: 31 October 2003

zbMATH: 1059.34004
MathSciNet: MR2016702

Subjects:
Primary: 34A99 , 34D05 , 34H05
Secondary: 37D40

Keywords: control , Filtering , foliations , Riccati equation

Rights: Copyright © 2003 A K Peters, Ltd.

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Vol.12 • No. 2 • 2003
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