Characterization of Finite Frequency Properties for n-Dimensional Behaviors Using Quadratic Differential Forms

Chiaki KOJIMA; Shinji HARA

doi:10.9746/jcmsi.7.112

Characterization of Finite Frequency Properties for n-Dimensional Behaviors Using Quadratic Differential Forms

SICE Journal of Control Measurement and System Integration ◽

10.9746/jcmsi.7.112 ◽

2014 ◽

Vol 7 (2) ◽

pp. 112-121

Author(s):

Chiaki KOJIMA ◽

Shinji HARA

Keyword(s):

Quadratic Differential ◽

Differential Forms ◽

Finite Frequency ◽

Quadratic Differential Forms ◽

Frequency Properties

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Characterization of Finite Frequency Properties Using Quadratic Differential Forms

SICE Journal of Control Measurement and System Integration ◽

10.9746/jcmsi.3.466 ◽

2010 ◽

Vol 3 (6) ◽

pp. 466-475 ◽

Cited By ~ 2

Author(s):

Chiaki KOJIMA ◽

Yusuke KAIZUKA ◽

Shinji HARA

Keyword(s):

Quadratic Differential ◽

Differential Forms ◽

Finite Frequency ◽

Quadratic Differential Forms ◽

Frequency Properties

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Linear-quadratic control and quadratic differential forms for multidimensional behaviors

Linear Algebra and its Applications ◽

10.1016/j.laa.2010.08.031 ◽

2011 ◽

Vol 434 (1) ◽

pp. 117-130

Author(s):

D. Napp ◽

H.L. Trentelman

Keyword(s):

Quadratic Differential ◽

Differential Forms ◽

Linear Quadratic Control ◽

Linear Quadratic ◽

Quadratic Differential Forms

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Locally Stable Singularities for Positive Quadratic Differential Forms

Journal of Differential Equations ◽

10.1006/jdeq.1994.1057 ◽

1994 ◽

Vol 110 (1) ◽

pp. 1-37 ◽

Cited By ~ 8

Author(s):

V. Guinez

Keyword(s):

Quadratic Differential ◽

Differential Forms ◽

Quadratic Differential Forms

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Application of quadratic differential forms to designing linear controllers for nonlinearities

Asian Journal of Control ◽

10.1002/asjc.326 ◽

2010 ◽

Vol 13 (3) ◽

pp. 449-455 ◽

Cited By ~ 3

Author(s):

I. Pendharkar ◽

H. K. Pillai

Keyword(s):

Quadratic Differential ◽

Differential Forms ◽

Quadratic Differential Forms ◽

Linear Controllers

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Positive quadratic differential forms: linearization, finite determinacy and versal unfolding

Annales de la faculté des sciences de Toulouse Mathématiques ◽

10.5802/afst.844 ◽

1996 ◽

Vol 5 (4) ◽

pp. 661-690 ◽

Cited By ~ 4

Author(s):

Carlos Gutierrez ◽

Victor Guíñez

Keyword(s):

Quadratic Differential ◽

Differential Forms ◽

Finite Determinacy ◽

Versal Unfolding ◽

Quadratic Differential Forms

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Time domain characterization of finite frequency properties via behavioral approach

2008 SICE Annual Conference ◽

10.1109/sice.2008.4655060 ◽

2008 ◽

Author(s):

Yusuke Kaizuka ◽

Chiaki Kojima ◽

Shinji Hara

Keyword(s):

Time Domain ◽

Behavioral Approach ◽

Finite Frequency ◽

Time Domain Characterization ◽

Frequency Properties

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The Reduction of Degenerate Quadratic Differential Forms

Proceedings of the National Academy of Sciences ◽

10.1073/pnas.20.3.215 ◽

1934 ◽

Vol 20 (3) ◽

pp. 215-219

Author(s):

T. Y. Thomas

Keyword(s):

Quadratic Differential ◽

Differential Forms ◽

Quadratic Differential Forms

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ROBUST STABILITY ANALYSIS VIA QUADRATIC DIFFERENTIAL FORMS

IFAC Proceedings Volumes ◽

10.3182/20071017-3-br-2923.00051 ◽

2007 ◽

Vol 40 (20) ◽

pp. 308-313

Author(s):

Kiyotsugu Takaba

Keyword(s):

Stability Analysis ◽

Robust Stability ◽

Quadratic Differential ◽

Differential Forms ◽

Robust Stability Analysis ◽

Quadratic Differential Forms

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Errata: ‘‘On the invariants of quadratic differential forms” [Trans.\ Amer.\ Math.\ Soc. {\bf 3} (1902), no. 1, 71–91; 1500588]

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1902-1500455-8 ◽

1902 ◽

Vol 3 (4) ◽

pp. 501

Author(s):

Charles Nelson Haskins

Keyword(s):

Quadratic Differential ◽

Differential Forms ◽

Quadratic Differential Forms

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Positive Quadratic Differential Forms: Topological Equivalence Through Newton Polyhedra

Journal of Dynamical and Control Systems ◽

10.1007/s10883-006-0003-1 ◽

2006 ◽

Vol 12 (4) ◽

pp. 489-516 ◽

Cited By ~ 1

Author(s):

C. Gutierrez ◽

R. D. S. Oliveira ◽

M. A. Teixeira

Keyword(s):

Quadratic Differential ◽

Differential Forms ◽

Topological Equivalence ◽

Newton Polyhedra ◽

Quadratic Differential Forms

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