A Linear Algebra Approach to Linear Metatheory

A geometrical numerical linear algebra approach to residual-enhanced parametric model reduction

PAMM ◽

10.1002/pamm.201410396 ◽

2014 ◽

Vol 14 (1) ◽

pp. 831-832

Author(s):

Ralf Zimmermann

Keyword(s):

Model Reduction ◽

Linear Algebra ◽

Parametric Model ◽

Numerical Linear Algebra ◽

Algebra Approach

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A Dioid Linear Algebra Approach to Study a Class of Continuous Petri Nets

Lecture Notes in Computer Science - Network and Parallel Computing ◽

10.1007/978-3-540-30141-7_48 ◽

2004 ◽

pp. 333-340

Author(s):

Duan Zhang ◽

Huaping Dai ◽

Youxian Sun

Keyword(s):

Petri Nets ◽

Linear Algebra ◽

Algebra Approach ◽

Continuous Petri Nets

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Multistage reactions, equilibrium, and detailed balancing: A linear algebra approach

International Journal of Chemical Kinetics ◽

10.1002/kin.550030603 ◽

1971 ◽

Vol 3 (6) ◽

pp. 491-499 ◽

Cited By ~ 1

Author(s):

J. Lee

Keyword(s):

Linear Algebra ◽

Algebra Approach ◽

Detailed Balancing

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A linear algebra approach to minimal convolutional encoders

IEEE Transactions on Information Theory ◽

10.1109/18.243440 ◽

1993 ◽

Vol 39 (4) ◽

pp. 1219-1233 ◽

Cited By ~ 57

Author(s):

R. Johannesson ◽

Z.-x. Wan

Keyword(s):

Linear Algebra ◽

Algebra Approach ◽

Convolutional Encoders

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An easy linear algebra approach to the eigenvalues of the Bernoulli-Laplace model of diffusion

Archiv der Mathematik ◽

10.1007/bf01196635 ◽

1995 ◽

Vol 64 (2) ◽

pp. 150-153 ◽

Cited By ~ 1

Author(s):

Holger W. Gollan ◽

Wolfgang Lempken

Keyword(s):

Linear Algebra ◽

Algebra Approach

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A LINEAR ALGEBRA APPROACH TO THE ANALYSIS OF RIGID BODY MOTION FROM POSITION AND VELOCITY DATA

Computer Aided Design of Multivariable Technological Systems ◽

10.1016/b978-0-08-029357-8.50008-1 ◽

1983 ◽

pp. 19-24

Author(s):

G.R. Shiflett ◽

A.J. Laub

Keyword(s):

Rigid Body ◽

Linear Algebra ◽

Rigid Body Motion ◽

Body Motion ◽

Velocity Data ◽

Algebra Approach

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A Note on Probabilistic Models over Strings: The Linear Algebra Approach

Bulletin of Mathematical Biology ◽

10.1007/s11538-013-9906-6 ◽

2013 ◽

Vol 75 (12) ◽

pp. 2529-2550 ◽

Cited By ~ 7

Author(s):

Alexandre Bouchard-Côté

Keyword(s):

Linear Algebra ◽

Probabilistic Models ◽

Algebra Approach

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Trajectory tracking of a mini four-rotor helicopter in dynamic environments - a linear algebra approach

Robotica ◽

10.1017/s0263574714000952 ◽

2014 ◽

Vol 33 (08) ◽

pp. 1628-1652 ◽

Cited By ~ 15

Author(s):

Claudio Rosales ◽

Daniel Gandolfo ◽

Gustavo Scaglia ◽

Mario Jordan ◽

Ricardo Carelli

Keyword(s):

Control System ◽

Numerical Methods ◽

Linear Algebra ◽

Trajectory Tracking ◽

Dynamic Environments ◽

Lagrange Equations ◽

3D Space ◽

Control Actions ◽

Algebra Approach ◽

Simulation Results

SUMMARYThis paper presents the design of a controller that allows a four-rotor helicopter to track a desired trajectory in 3D space. To this aim, a dynamic model obtained from Euler-Lagrange equations describes the robot. This model is represented by numerical methods, with which the control actions for the operation of the system are obtained. The proposed controller is simple and presents good performance in face of uncertainties in the model of the system to be controlled. Zero-convergence proof is included, and simulation results show a good performance of the control system.

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