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Page 1650 of Mathematical Reviews Vol. , Issue 2004b [page]

2004 Mathematical Reviews  
(E-BILBS-DP; Bilbao) Adaptive stabilization of non-necessarily inversely stable first- order systems by using estimates modification based on testing the Sylvester determinant.  ...  The singularities are avoided through a modification of the a priori estimated plant parameter vector so that its associated Sylvester matrix is guaranteed to be non-singular.  ... 

Stabilization of Continuous-Time Adaptive Control Systems with Possible Input Saturation through a Controllable Modified Estimation Model

M. De la Sen
2004 Nonlinear Analysis: Modelling and Control  
An alternative modification scheme based on the achievement of a modified diagonally dominant Sylvester matrix of the parameter estimates is also proposed.  ...  That property is achieved by ensuring that the absolute value of its determinant does not lie below a positive threshold.  ...  In a set of papers, the assumption of the plant being inversely stable has been removed by using either excitation of the plant signals or estimates modification by using hysteresis switching functions  ... 
doi:10.15388/na.2004.9.1.15167 fatcat:7dlfxth4anexzhj4ehbcupdjmi

An account of chronological developments in control of distributed parameter systems

Radhakant Padhi, Sk. Faruque Ali
2009 Annual Reviews in Control  
Decades of research have lead to a great deal of literature on distributed parameter systems scattered in a wide spectrum.  ...  Control systems arising in many engineering fields are often of distributed parameter type, which are modeled by partial differential equations.  ...  Unknown parameters appearing in the system equation were assumed constant and estimated on-line by using adaptation laws. Stability were guaranteed in Lyapunov sense.  ... 
doi:10.1016/j.arcontrol.2009.01.003 fatcat:tqz7b375v5gari5zacaj2xwvuu

High-performance numerical software for control

2004 IEEE Control Systems  
Acknowledgments This work was supported in part by the European Community BRITE-EURAM III Thematic Networks Programme NICONET (project BRRT-CT97-5040), the Belgian Programme on Interuniversity Poles of  ...  and Communications Technology) of the Flemish Community, and the FWO projects G.0078.01 (structured matrices) and G.0270.02 (nonlinear Lp approximation).  ...  Many operations on standard matrices (such as finding the rank, determinant, inverse or generalized inverses) or the solution of linear matrix equations have natural generalizations for rational matrices  ... 
doi:10.1109/mcs.2004.1272746 fatcat:p5nxnufy2nbnljvlqihcvfghvy

Stronger-than-Lyapunov notions of matrix stability, or how "flowers" help solve problems in mathematical ecology

Dmitrii O. Logofet
2005 Linear Algebra and its Applications  
, notions of matrix stability, like D-stability, qualitative stability, Volterra-Lyapunov stability, and others.  ...  Persistent patterns of interactions in a multi-component system (e.g., intra-and interspecies relations in a community of n interacting species) may imply a number of formalizations as special, stronger-than-Lyapunov  ...  Special thanks to the anonymous reviewer whose special care has markedly improved the manuscript.  ... 
doi:10.1016/j.laa.2003.04.001 fatcat:akhvjvv5hnhhvjcq6sqpbrjmvu

Subspace Tracking for Signal Processing [chapter]

Jean Pierre Delmas
2010 Adaptive Signal Processing  
Before proceeding with a brief literature review of the main contributions of adaptive estimation of subspace or eigenvectors, let us first classify these algorithms with respect to their computational  ...  , and neural analysis can be significantly improved by using the subspace and component-based methodology.  ...  First, the updating of the estimated parameters φ(k), i.e., the adaptive identification of the channel can be useful to an optimal equalization based on an identified channel.  ... 
doi:10.1002/9780470575758.ch4 fatcat:pwbi2mtzora4dpouyscxf6hite

H2 optimal and frequency limited approximation methods for large-scale LTI dynamical systems

Pierre Vuillemin, Charles Poussot-Vassal, Daniel Alazard
2013 IFAC Proceedings Volumes  
The first one is an empirical approach based on the modification of a sub-optimal H 2 model approximation method.  ...  The first-order optimality conditions of the optimal H 2,Ω approximation problem are derived and used to built a complex-domain descent algorithm aimed at finding a local minimum of the problem.  ...  The first one is an empirical approach based on the modification of a sub-optimal H2 model approximation method.  ... 
doi:10.3182/20130204-3-fr-2033.00061 fatcat:ijxrjgml45ephgvq53v37pxiyi

The Born approximation in the three-dimensional Calderón problem II: Numerical reconstruction in the radial case [article]

Juan A. Barceló, Carlos Castro, Fabricio Macià, Cristóbal J. Meroño
2022 arXiv   pre-print
The results are based on an explicit representation formula for the Born approximation recently introduced by the authors.  ...  In this work we illustrate a number of properties of the Born approximation in the three-dimensional Calderón inverse conductivity problem by numerical experiments.  ...  This research has been supported by Grant MTM2017-85934-C3-3-P of Agencia Estatal de Investigación (Spain).  ... 
arXiv:2205.15587v1 fatcat:72nunmo46fbrdbcwzy7r4ttsmm

Sensitivity and stability analysis of a delayed stochastic epidemic model with temperature gradients

Premeshori Waikhom, Renu Jain, Sandeep Tegar
2016 Modeling Earth Systems and Environment  
The underlying systems are analyzed to examine deterministic and stochastic stability criteria by constructing suitable Lyapunov functions.  ...  Further, it determines the possible link between pathogen invasion and temperature adaptability in host species.  ...  Acknowledgments This research is in part supported by Department of Science and Technology, Government of India (Grant no. SR/ WOS-A/MS-19/2010).  ... 
doi:10.1007/s40808-016-0095-9 fatcat:iesbvgn5mzf6nigii3ygqcypwi

Iterative Learning Control [chapter]

Daphne Ari-Even Roth, Avi Karni, Na'ilah Suad Nasir, Tryphenia B. Peele-Eady, Paul Ginns, Carolyn A. Maher, John M. Francisco, Marjory F. Palius, Karl H. Schlag, Aude Billard, Daniel Grollman, Thomas R. Zentall (+79 others)
2012 Encyclopedia of the Sciences of Learning  
The ILC design problem has then turned into a state estimation problem, where the initial state, determined by wF is estimated through the Kalman filter, using the Kalman gain L which is given by (see  ...  with order equal to the size of A, and P is the solution to a Sylvester equation of same order.  ...  Downside to these methods is the very large order of the problems for ILC, which has been solved in the development of a low-order ILC setting based on a Hamiltonian system description for ILC.  ... 
doi:10.1007/978-1-4419-1428-6_65 fatcat:ipwd2xbqqra5lmeymok45dfeum

Error Bounds and Applications for Stochastic Approximation with Non-Decaying Gain [article]

Jingyi Zhu
2020 arXiv   pre-print
Therefore, Chapter 5 discusses a data-dependent gain-tuning strategy based on estimating the Hessian information and the noise level.  ...  Overall, this work answers the questions "what is the estimate for the dynamical system θ_k^*" and "how much we can trust θ̂_k as an estimate for θ_k^*."  ...  Recursive estimates are useful to adapt themselves to the system dynamics.  ... 
arXiv:2003.07357v1 fatcat:ebwhbynunzbvdccjwn73txeooi

A Consolidated Review of Path Planning and Optimization Techniques: Technical Perspectives and Future Directions

Faiza Gul, Imran Mir, Laith Abualigah, Putra Sumari, Agostino Forestiero
2021 Electronics  
The paper provides a consolidated platform, where plenty of available research on-ground autonomous vehicle and their trajectory optimization with the extension for aerial and underwater vehicles are documented  ...  In this paper, a review on the three most important communication techniques (ground, aerial, and underwater vehicles) has been presented that throws light on trajectory planning, its optimization, and  ...  In the first step, the Artificial Neural Network (ANN) is hybridized with PSO to find the easiest path using acceleration and velocity constraints; the second step, the first and second-order stability  ... 
doi:10.3390/electronics10182250 fatcat:xxbfslyes5ctpfktnprezb6p6m

The reconstruction problem [chapter]

William Lionheart, Nicholas Polydorides, Andrea Borsic
2004 Series in Medical Physics and Biomedical Engineering  
Sometimes it is useful to consider a non-invertible P, for example if L is a first order difference operator L * L has a non-trivial null space.  ...  The implementation is based on the results of the duality theory for inverse problems with linear forward operators.  ... 
doi:10.1201/9781420034462.pt1 fatcat:zzwaarjx6jez7b7bmv267r654y

Chaos and order in event-triggered control [article]

Gabriel de Albuquerque Gleizer, Manuel Mazo Jr
2022 arXiv   pre-print
First, we characterize limit traffic patterns by observing invariant lines and planes through the origin, as well as their attractivity.  ...  The methodology and tools allow us to find ETC examples that provably outperform periodic sampling in terms of average IST.  ...  map f by using a non-parametric hypothesis test such as the Kolmogorov-Smirnov (KS) test.  ... 
arXiv:2201.04462v2 fatcat:gss7vs3glbc6rh6ielqrfdbr2m

ARTP statement on pulmonary function testing 2020

Karl Peter Sylvester, Nigel Clayton, Ian Cliff, Michael Hepple, Adrian Kendrick, Jane Kirkby, Martin Miller, Alan Moore, Gerrard Francis Rafferty, Liam O'Reilly, Joanna Shakespeare, Laurie Smith (+3 others)
2020 BMJ Open Respiratory Research  
The Association for Respiratory Technology & Physiology (ARTP) last produced a statement on the performance of lung function testing in 1994.  ...  achieved by the subject.  ...  However the TLco equation is based on the volume of gas that the tracer gas distributes into and not necessarily the TLC.  ... 
doi:10.1136/bmjresp-2020-000575 pmid:32631927 fatcat:bhvrxvxfyzexji2vkqyl2nrj5e
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