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On the stability properties of linear dynamic time-varying unforced systems involving switches between parameterizations from topologic considerations via graph theory

M. De la Sen, A. Ibeas
2007 Discrete Applied Mathematics  
This paper deals with the stability of linear time-varying systems involving switches through time between different parameterizations of a dynamic linear time-varying system.  ...  An axiomatic framework is first established concerned with previously known stability results from systems theory related to the achievement of stability when switches between several parameterizations  ...  Acknowledgments The authors are very grateful to MCYT by its partial support of this work via Project DPI 2003-00164 and to UPV its support through Research Groups Grant 9/UPV/00I06.I06-15263/2003.  ... 
doi:10.1016/j.dam.2006.05.003 fatcat:mlhys5fh2bg2bguvdd3rv7kmoe

Some results of studies on the stability and controlability properties of the switched systems of differential equations

Efren Vazquez Silva, Rosa Isabel Urquiza Salgado, Mark Leonard Gordon, Acacio da Conceicao de Jesus Domingos
2014 Applied Mathematical Sciences  
The first deals with the study of the considered systems of differential equations with regards the pooling of the same in two clusters, namely linear switched systems dependent on a continuous or discrete  ...  variable (such an independent variable usually represents time); and nonlinear switched and stochastic switched systems.  ...  The present paper has been supported by Vibration Signature Analysis and Design (VSAD), Midrand, Gauteng, South Africa.  ... 
doi:10.12988/ams.2014.48673 fatcat:jovjkv3hzffgvly5am6jhu4rqy

Boundary Integral Methods for Multicomponent Fluids and Multiphase Materials

T.Y. Hou, J.S. Lowengrub, M.J. Shelley
2001 Journal of Computational Physics  
A common link between these different physical phenomena is the utility of an analysis of the appropriate equations of motion at small spatial scales to develop accurate and efficient time-stepping methods  ...  In materials science, we discuss microstructure evolution in diffusional phase transformations, and the effects of the competition between surface and elastic energies on microstructure morphology.  ...  Acknowledgements The authors thank R. Almgren  ... 
doi:10.1006/jcph.2000.6626 fatcat:nnd7nesam5amjhfzfennikc3fu

Modern Koopman Theory for Dynamical Systems [article]

Steven L. Brunton, Marko Budišić, Eurika Kaiser, J. Nathan Kutz
2021 arXiv   pre-print
Koopman spectral theory has emerged as a dominant perspective over the past decade, in which nonlinear dynamics are represented in terms of an infinite-dimensional linear operator acting on the space of  ...  The field of dynamical systems is being transformed by the mathematical tools and algorithms emerging from modern computing and data science.  ...  We also thank Shervin Bagheri, Bing Brunton, Bethany Lusch, Ryan Mohr, Frank Noe, Josh Proctor, Clancy Rowley, and Peter Schmid for many fruitful discussions on DMD, Koopman theory, and control.  ... 
arXiv:2102.12086v2 fatcat:2oylyx25dbctvkjfnirfcgjuqu

Data-driven approximations of dynamical systems operators for control [article]

Eurika Kaiser, J. Nathan Kutz, Steven L. Brunton
2019 arXiv   pre-print
The Koopman and Perron Frobenius transport operators are fundamentally changing how we approach dynamical systems, providing linear representations for even strongly nonlinear dynamics.  ...  Related methods have seen rapid development, due to a combination of an increasing abundance of data and the extensibility of DMD based on its simple framing in terms of linear algebra.  ...  SLB acknowledges support from the Army Research Office (W911NF-17-1-0306 and W911NF-17-1-0422). JNK acknowledges support from the Air Force Office of Scientific Research (FA9550-19-1-0011).  ... 
arXiv:1902.10239v1 fatcat:23bw5qdalbenddnelslxtmes7m

On the Contact Topology and Geometry of Ideal Fluids [chapter]

Robert Ghrist
2007 Handbook of Mathematical Fluid Dynamics  
We survey certain topological methods for problems in inviscid fluid dynamics in dimension three. The tools come from the topology of contact structures, or nowhere-integrable plane fields.  ...  Because of their topological basis, these methods point one toward a theory of "generic" fluids, where the geometry of the underlying domain is the genericity parameter.  ...  We therefore turn to a weaker notion of stability: linear stability.  ... 
doi:10.1016/s1874-5792(07)80005-x fatcat:mziqn4f4knhh3pcqfwbgb74kdu

Synchronization in complex networks of phase oscillators: A survey

Florian Dörfler, Francesco Bullo
2014 Automatica  
This survey reviews the vast literature on the theory and the applications of complex oscillator networks.  ...  We present the sharpest known results about synchronization in networks of homogeneous and heterogeneous oscillators, with complete or sparse interconnection topologies, and in finite-dimensional and infinite-dimensional  ...  Acknowledgments The authors are grateful to the anonymous reviewers for their detailed comments and for refining the scope of this survey.  ... 
doi:10.1016/j.automatica.2014.04.012 fatcat:ffliyqnfjrcc7okpxnbljpm654

Advances in Delamination Modeling of Metal/Polymer Systems: Atomistic Aspects [chapter]

Olaf van der Sluis, Nancy Iwamoto, Jianmin Qu, Shaorui Yang, Cadmus Yuan, Willem D. van Driel, G. Q. Zhang
2018 Nanopackaging  
Acknowledgments The authors are grateful to the following colleagues, (former) students, and funding sources:  ...  This base model will vary depending upon the material system and the performance properties that are being developed within the application.  ...  The integration time step must be small enough to capture the dynamics of the vibration modes of the system, with frequencies in the order of 10 13 s À1 .  ... 
doi:10.1007/978-3-319-90362-0_4 fatcat:uiepc74qsjaw7dsqgbmo5neoei

27th Annual Computational Neuroscience Meeting (CNS*2018): Part One

2018 BMC Neuroscience  
Acknowledgement Neural Engineering System Design (NESD) program from the Defense Advanced Research Projects Agency (DARPA).  ...  Acknowledgements This work was produced as part of the activities of FAPESP Acknowledgements The research leading to these results has received funding from the Brazilian higher education funding agency  ...  In system theoretic terms, the success of the voltage clamp experiment rests on the fact that the inverse dynamics of neuronal models are stable and almost linear whereas the direct dynamics from applied  ... 
doi:10.1186/s12868-018-0452-x pmid:30373544 pmcid:PMC6205781 fatcat:xv7pgbp76zbdfksl545xof2vzy

Modular power plants, based on gas turbine: the way forward for the nuclear energy development
Модульні енергетичні установки на основі газової турбіни: перспективний шлях розвитку ядерної енергетики

O.A. Mekh, Dobrov Institute for Scientific and Technological Potential and Science History Studies of NAS of Ukraine, Kyiv, S.G. Boublyk, Dobrov Institute for Scientific and Technological Potential and Science History Studies of NAS of Ukraine, Kyiv
2019 Visnik Nacional noi academii nauk Ukrai ni  
The Cambridge Nonlinear Science Series contains books on all aspects of contemporary research in classical and quantum nonlinear dynamics, both deterministic and nondeterministic, at the level of graduate  ...  Specific subject areas suitable for consideration include: Hamiltonian and dissipative chaos; squeezed states and applications of quantum measurement theory; pattern selection; formation and recognition  ...  In terms of the theory of dynamical systems, this can be interpreted as constructing a Poincaré map according to the condition that the variable z has a maximum, and looking on the times between the successive  ... 
doi:10.15407/visn2019.07.064 fatcat:dj4ndsex5ffhxhfd6bnrjs6l6q

Linear Matrix Inequalities in Control [chapter]

Carsten Scherer, Siep Weiland
2010 The Control Systems Handbook, Second Edition  
• We have made use of a rather straightforward application of the global version of Banach's fixed-point theorem. As variants on could work with well-established local versions thereof.  ...  the detailed exposition of the basic ingredients.  ...  Chapter 9 Linear parameterically varying systems Linear parameterically varying (LPV) systems are linear systems whose describing matrices depend on a time-varying parameter such that both the parameter  ... 
doi:10.1201/b10384-28 fatcat:ikzdk5ggwzandoq6yvfm5ezeii

Feedback systems: an introduction for scientists and engineers

2008 ChoiceReviews  
Kristi Morgansen and Hideo Mabuchi helped teach early versions of the course at Caltech on which much of the text is based, and Steve Waydo served as the head TA for the course taught at Caltech in 2003  ...  Charlotta Johnsson and Anton Cervin taught from early versions of the manuscript in Lund in 2003-2007 and gave very useful feedback.  ...  The idea for writing this book came in part from a report on future Further Reading Design by loop shaping was a key element in the early development of control, and systematic design methods were developed  ... 
doi:10.5860/choice.46-2107 fatcat:a4d6odtavfhubcf6mgwe3vk5ni

Predictability: a way to characterize complexity

G Boffetta
2002 Physics reports  
The problems involved in systems with intrinsic randomness is discussed, with emphasis on the important problems of distinguishing chaos from noise and of modeling the system.  ...  Different aspects of the predictability problem in dynamical systems are reviewed.  ...  to the sum will be given by the terms with scale-index n = log 2 (R = U t) while the temporal dependency of the coe cients {a n; k (t)} will be practically frozen on that time scale.  ... 
doi:10.1016/s0370-1573(01)00025-4 fatcat:d5qzef57jfcpdlzflgnj63efy4

Grafting acoustic instruments and signal processing: Creative control and augmented expressivity

Dan Overholt
2013 Journal of the Acoustical Society of America  
It is traditionally a participatory form of music with no distinction between performers and audience, a characteristic that makes for acoustical requirements that differ considerably from those of a concert  ...  In addition, various measurement techniques for this type of space are explored and reported. 9:15 1aAA2. The effect of two different rooms on acoustical and perceptual measures of mixed choir sound.  ...  We show that time-frequency considerations lead to new approximation methods for dynamic systems and wave propagation.  ... 
doi:10.1121/1.4830794 fatcat:2sexsmbypjcozjctnorzoiy7te

IJATES² Vol. 1, No.2-3

Jaroslav Koton
2012 International Journal of Advances in Telecommunications, Electrotechnics, Signals and Systems  
ACKNOWLEDGMENT The authors are thankful to the Brazilian agency FAPEMIG for the financial support.  ...  He is an author or co-author of more than 700 research articles published in international journals or conference proceedings. Professor Vrba is a Member of IEEE and IEICE.  ...  As it can be seen from the graphs, at low frequencies the higher the magnitude of the input signal the closer are the values of p DC and p RMS parameters to the ideal ones.  ... 
doi:10.11601/ijates.v1i2-3.41 doaj:a6929772ec494972aadff2d95f936e63 fatcat:vfifceskhvhxfosenimd6moike
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