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Page 2031 of Mathematical Reviews Vol. , Issue 98C [page]

1998 Mathematical Reviews  
The control law is based on an input-output model and is of the non-switching type. The system behaviour in the vicinity of the sliding surface is examined.  ...  The method of proof combines the implicit function theorem with a constructive method of solving the controllability problem in the linear case.  ... 

Page 8130 of Mathematical Reviews Vol. , Issue 99k [page]

1999 Mathematical Reviews  
The paper addresses generalised discrete-time systems of the form Fx,4, = Gx, + Bux, with regular associated matrices, and focusses on the study of their causal solutions for the set of consistent initial  ...  Wang (Los Angeles, CA) 99k:93061 93C40 93B51 93C41 Wu, Hansheng Continuous adaptive robust controllers guaranteeing uniform ultimate boundedness for uncertain nonlinear systems.  ... 

Page 7821 of Mathematical Reviews Vol. , Issue 95m [page]

1995 Mathematical Reviews  
An implicit linear continuous-time control system of the form Ex'(t) = Fx(t) + Gu(t) is considered. It is converted into a distri- butional system of the form Ex‘!)  ...  for reduction of discrete-time stable SISO models.  ... 

Advances in Wave Digital Modeling of Linear and Nonlinear Systems: A Summary [chapter]

Alberto Bernardini
2019 SpringerBriefs in Applied Sciences and Technology  
Though WD methods usually focus on the discrete-time implementation of analog audio circuits; the methodologies addressed in the thesis are general enough as to be applicable to whatever system that can  ...  of Professor Augusto Sarti, and that are contained in my doctoral dissertation, entitled "Advances in Wave Digital Modeling of Linear and Nonlinear Systems".  ...  It is shown how certain curves (even some multi-valued functions in the Kirchhoff domain) can be represented as functions in explicit canonical PWL form in the WD domain.  ... 
doi:10.1007/978-3-030-32094-2_1 fatcat:bebubwdyzjeptcyxhwigx5qmb4

Consistent Discretization of Locally Homogeneous Finite-time Stable Control Systems

Andrey Polyakov, Denis Efimov, Bernard Brogliato, Markus Reichhartinger
2019 2019 18th European Control Conference (ECC)  
An algorithm of consistent implicit discretization for locally homogeneous finite-time stable system having discontinuity only at the origin is developed.  ...  The scheme is demonstrated for a simplified model of a quadrotor control system.  ...  The first and the second authors also acknowledge the support of the Government of Russian Federation (Grant 08-08) and the Ministry of Education and Science of Russian Federation (Project 14.Z50.31.0031  ... 
doi:10.23919/ecc.2019.8795633 dblp:conf/eucc/PolyakovEBR19 fatcat:kgiqipgjhzew5ez4lavc6vrzem

List of talks

1987 Journal of Computational and Applied Mathematics  
., Block-triangularizations of a system of equations and combinatorial canonical forms of mixed matrices. * NAKAO, M.T., Superconvergence of the gradient of Gale&in approximations for elliptic problems  ...  ., An algorithm for optimal control of pumping stations based on aggregated model of water network. * KLIP, D.A., An analytic approach to the solution of non-linear equations.  ...  ., An integral method for constructing bivariate spline functions. WU, L.C., MOORE, M.I. and EDWARDS, H.K., Utilization of a mixed integer mathematical model for strategic planning.  ... 
doi:10.1016/0377-0427(87)90161-0 fatcat:bsq5p4k3dbfzpgvsgn63fohoi4

2020 Index IEEE Transactions on Cybernetics Vol. 50

2020 IEEE Transactions on Cybernetics  
., Reference Trajectory Reshaping Optimi-zation and Control of Robotic Exoskeletons for Human-Robot Co-Manipulation; TCYB Aug. 2020 3740-3751 Wu, X., Jiang, B., Yu, K., Miao, c., and Chen, H  ...  ., +, TCYB Nov. 2020 4670-4679 Relative Degrees and Implicit Function-Based Control of Discrete-Time Noncanonical Form Neural Network Systems.  ...  ., +, TCYB Nov. 2020 4670-4679 Relative Degrees and Implicit Function-Based Control of Discrete-Time Noncanonical Form Neural Network Systems.  ... 
doi:10.1109/tcyb.2020.3047216 fatcat:5giw32c2u5h23fu4drupnh644a

A fully implicit numerical method for single-fluid resistive magnetohydrodynamics

Daniel R. Reynolds, Ravi Samtaney, Carol S. Woodward
2006 Journal of Computational Physics  
A high-order adaptive time integration is employed, which in many cases enables time steps ranging from one to two orders of magnitude larger than those constrained by the explicit CFL condition.  ...  The method uses a high-order spatial discretization that preserves the solenoidal property of the magnetic field.  ...  This work was performed under the auspices of the US Department of Energy by the University of California, Lawrence Livermore National Laboratory under Contract W-7405-ENG-48 and was supported in part  ... 
doi:10.1016/j.jcp.2006.03.022 fatcat:2zefgscrwffkfcqethe2w2io6e

Rank-adaptive structure-preserving model order reduction of Hamiltonian systems [article]

Jan S. Hesthaven, Cecilia Pagliantini, Nicolò Ripamonti
2022 arXiv   pre-print
This work proposes an adaptive structure-preserving model order reduction method for finite-dimensional parametrized Hamiltonian systems modeling non-dissipative phenomena.  ...  To overcome the slowly decaying Kolmogorov width typical of transport problems, the full model is approximated on local reduced spaces that are adapted in time using dynamical low-rank approximation techniques  ...  The semi-discrete formulation of (8.5) represents a canonical Hamiltonian system with the gradient of the Hamiltonian function with respect to u h given by ∇H h (u h ; η h ) =   1 2 (D x φ h ) 2 + (D  ... 
arXiv:2007.13153v2 fatcat:ewby6pg4ezh4zlewk6akffzake

PI(D) tuning for Flight Control Systems via Incremental Nonlinear Dynamic Inversion

Paul Acquatella B., Wim van Ekeren, Qi Ping Chu
2017 IFAC-PapersOnLine  
This leads to a meaningful and systematic method for PI(D)-control tuning of robust nonlinear flight control systems via INDI.  ...  This leads to a meaningful and systematic method for PI(D)-control tuning of robust nonlinear flight control systems via INDI.  ...  Looye are acknowledged for discussions leading to improvements of this paper.  ... 
doi:10.1016/j.ifacol.2017.08.1265 fatcat:37dsj2xy2veedaypmkkhmizcyy

PI(D) tuning for Flight Control Systems via Incremental Nonlinear Dynamic Inversion [article]

Paul Acquatella B., Wim van Ekeren, Qi Ping Chu
2017 arXiv   pre-print
This leads to a meaningful and systematic method for PI(D)-control tuning of robust nonlinear flight control systems via INDI.  ...  Previous results reported in the robotics literature show the relationship between time-delay control (TDC) and proportional-integral-derivative control (PID).  ...  Looye are acknowledged for discussions leading to improvements of this paper.  ... 
arXiv:1701.08981v3 fatcat:at72oosjzjc5tgifo5makn67hu

Rank-adaptive structure-preserving model order reduction of Hamiltonian systems

Jan S. Hesthaven, Cecilia Pagliantini, Nicolò Ripamonti
2022 Mathematical Modelling and Numerical Analysis  
This work proposes an adaptive structure-preserving model order reduction method for finite-dimensional parametrized Hamiltonian systems modeling non-dissipative phenomena.  ...  To overcome the slowly decaying Kolmogorov width typical of transport problems, the full model is approximated on local reduced spaces that are adapted in time using dynamical low-rank approximation techniques  ...  The semi-discrete formulation of (8.5) represents a canonical Hamiltonian system with the gradient of the Hamiltonian function with respect to 𝑢 ℎ given by where ⊙ is the Hadamard product between two  ... 
doi:10.1051/m2an/2022013 fatcat:rl2vcdrt35gbxpmli7qqlovmay

Development and validation of a SUPG finite element scheme for the compressible Navier–Stokes equations using a modified inviscid flux discretization

Benjamin S. Kirk, Graham F. Carey
2008 International Journal for Numerical Methods in Fluids  
The spatial discretization, including a modified approach for interpolating the inviscid flux terms in the SUPG finite element formulation, and the 2 nd -order accurate time discretization are presented  ...  This paper considers the streamline-upwind Petrov-Galerkin (SUPG) method applied to the unsteady compressible Navier-Stokes equations in conservation-variable form.  ...  The cost for this increased stability is the need to solve (at least approximately) a nonlinear implicit system at each time step of the solution.  ... 
doi:10.1002/fld.1635 fatcat:ffkopzvbobhbpiby5c5wvrhpqe

Symplectic Approaches for Solving Two-Point Boundary-Value Problems

Haijun Peng, Qiang Gao, Zhigang Wu, Wanxie Zhong
2012 Journal of Guidance Control and Dynamics  
estimated numerator polynomial of the transfer function of the controlled aeroelastic system generic individual control surface deflection as a function of time, 6 € R, rad vector of the unknown parameters  ...  L., “Solution of Two-Point Boundary-Value Problems using Lagrange Implicit Function Theorem,” Journal of Guidance, Control, and Dynamics, Vol. 32, No. 5, 2009, pp. 1684-1687. J.  ... 
doi:10.2514/1.55795 fatcat:7e3du2w5ivd6re7nh4o7kddl3y

Jacobian-free Newton–Krylov methods: a survey of approaches and applications

D.A. Knoll, D.E. Keyes
2004 Journal of Computational Physics  
The link between the two methods is the Jacobian-vector product, which may be probed approximately without forming and storing the elements of the true Jacobian, through a variety of means.  ...  Jacobian-free Newton-Krylov (JFNK) methods are synergistic combinations of Newton-type methods for superlinearly convergent solution of nonlinear equations and Krylov subspace methods for solving the Newton  ...  Acknowledgements The authors thank all of their co-authors and co-explorers in Newton-Krylov methodology over the past dozen years, especially S. Balay  ... 
doi:10.1016/j.jcp.2003.08.010 fatcat:w26jxxlalngzbogwvaa5efazgm
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