His scientific interests lie mostly in Nonlinear system, Applied mathematics, Control theory, Chaotic and Observability. His Nonlinear system research incorporates themes from Embedding, Estimation theory, Statistical physics, Mathematical optimization and Function. Luis A. Aguirre combines subjects such as Constraint, Extended Kalman filter and Unscented transform with his study of Mathematical optimization.
His Applied mathematics research incorporates elements of Discrete mathematics, Fixed point, Meteorology, Benchmark and Series. Luis A. Aguirre has researched Control theory in several fields, including Polynomial, Stability and Identification. His work on Lyapunov exponent as part of general Chaotic research is often related to Biological system, Tumor cells and Inductor, thus linking different fields of science.
The scientist’s investigation covers issues in Control theory, Nonlinear system, Applied mathematics, Observability and Polynomial. His work on Kalman filter as part of general Control theory research is frequently linked to Context, bridging the gap between disciplines. The concepts of his Nonlinear system study are interwoven with issues in Nonlinear system identification, Identification, Attractor, Mathematical optimization and Series.
His research investigates the link between Mathematical optimization and topics such as Estimation theory that cross with problems in Function. His Applied mathematics study combines topics in areas such as Discrete mathematics and Bifurcation. His Polynomial research is multidisciplinary, relying on both Structure, Algorithm and Nonlinear autoregressive exogenous model.
Luis A. Aguirre mainly focuses on Nonlinear system, Control theory, Observability, Topology and Autoregressive model. His Nonlinear system research is multidisciplinary, incorporating perspectives in Dynamical systems theory, Nonlinear system identification, System identification, Applied mathematics and Mathematical model. His Control theory study incorporates themes from Estimation theory, Fixed point and Identification.
His Observability study combines topics from a wide range of disciplines, such as Algorithm and Scalar. The Measure research Luis A. Aguirre does as part of his general Topology study is frequently linked to other disciplines of science, such as Observable, therefore creating a link between diverse domains of science. His work deals with themes such as Polynomial and Compensation, which intersect with Autoregressive model.
Luis A. Aguirre focuses on Nonlinear system, System identification, Topology, Nonlinear system identification and Observability. His study in Nonlinear system is interdisciplinary in nature, drawing from both Initial value problem, Lipschitz continuity, Optimization problem and Applied mathematics. His System identification research is multidisciplinary, incorporating elements of Nonlinear autoregressive exogenous model, Mathematical model, Human–computer interaction and Sample.
His study on Dimension, Function and Vector field is often connected to Observable as part of broader study in Topology. His Nonlinear system identification study integrates concerns from other disciplines, such as Estimation theory, Probabilistic logic, Selection and Linear algebra. His biological study spans a wide range of topics, including State variable, Network dynamics and Jacobian matrix and determinant.
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Improved structure selection for nonlinear models based on term clustering
Luis A. Aguirre;S. A. Billings.
International Journal of Control (1995)
Dynamical effects of overparametrization in nonlinear models
Luis Antonio Aguirre;S. A. Billings.
Physica D: Nonlinear Phenomena (1995)
Modeling Nonlinear Dynamics and Chaos: A Review
Luis A. Aguirre;Christophe Letellier.
Mathematical Problems in Engineering (2009)
Relation between observability and differential embeddings for nonlinear dynamics.
Christophe Letellier;Luis A. Aguirre;Jean Maquet.
Physical Review E (2005)
Investigating nonlinear dynamics from time series: The influence of symmetries and the choice of observables
Christophe Letellier;Luis A. Aguirre.
On the non-equivalence of observables in phase-space reconstructions from recorded time series
C Letellier;J Maquet;L Le Sceller;G Gouesbet.
Journal of Physics A (1998)
Validating Identified Nonlinear Models with Chaotic Dynamics
Luis A. Aguirre;S.A. Billings.
International Journal of Bifurcation and Chaos (1994)
RETRIEVING DYNAMICAL INVARIANTS FROM CHAOTIC DATA USING NARMAX MODELS
Luis Antonio Aguirre;S.A. Billings.
International Journal of Bifurcation and Chaos (1995)
State estimation for linear and non-linear equality-constrained systems
Bruno Otávio Soares Teixeira;Jaganath Chandrasekar;Leonardo A. B. Tôrres;Luis Antonio Aguirre.
International Journal of Control (2009)
GLOBAL NONLINEAR POLYNOMIAL MODELS: STRUCTURE, TERM CLUSTERS AND FIXED POINTS
Luis Antonio Aguirre;Eduardo M. A. M. Mendes.
International Journal of Bifurcation and Chaos (1996)
Profile was last updated on December 6th, 2021.
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