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Control for stability and positivity: equivalent conditions and computation

Huijun Gao, J. Lam, Changhong Wang, Shengyuan Xu
2005 IEEE transactions on circuits and systems - 2, Analog and digital signal processing  
A necessary and sufficient condition for the existence of desired state-feedback controllers guaranteeing the resultant closed-loop system to be asymptotically stable and positive is obtained.  ...  This paper investigates the stabilizability of linear systems with closed-loop positivity.  ...  In this section, we develop another necessary and sufficient condition for the existence of desired controllers guaranteeing the closed-loop system to be asymptotically stable and positive, which is numerically  ... 
doi:10.1109/tcsii.2005.850525 fatcat:fr7eaz664jck5fynbhng324gju

Page 1278 of American Society of Civil Engineers. Collected Journals Vol. 128, Issue 12 [page]

2002 American Society of Civil Engineers. Collected Journals  
Feedback loop for twin actuator system face, as shown in Fig. 1(b). This results in both a moment and a force being fed back to the numerical substructure.  ...  For stability of a discrete system it is necessary for the closed-loop poles [i.e., the roots of the denomi- nator of H(z) in Eq. (10)] to lie inside the unit circle centered on the origin in the z plane  ... 

Matter fields in the Lagrangian loop representation: scalar QED

J.M. Aroca, M. Baig, H. Fort, R. Siri
1996 Physics Letters B  
We have simulated numerically the loop action equivalent to the Villain form of the action and mapped out the beta-gamma phase diagram of this model.  ...  The partition function of lattice compact U(1)-Higgs model is expressed as a sum over closed as much as open surfaces.  ...  There were not numerical results of the phase diagram (as far as we know) for the Villain action of SQED c .  ... 
doi:10.1016/0370-2693(95)01361-x fatcat:o2c5ffk44jau7hrmspqvt24kri

Discussion: "Kinematic Analysis of Mechanisms by the Complex Conjugate Exponential Method" (Smith, J. A., 1975, ASME J. Eng. Ind., 97, pp. 795–799)

B. Paul
1975 Journal of Engineering for Industry  
The procedure formulates closed-form expressions which do not require either graphical, approximate numerical, or iterative techniques for a solution."  ...  As a corollary, if the geometric orientation is known, then closed-form solutions are preferable to iterative or numerical techniques.  ...  The procedure formulates closed-form expressions which do not require either graphical, approximate numerical, or iterative techniques for a solution."  ... 
doi:10.1115/1.3438683 fatcat:sfyapstigrejdk7djhmymahgzy

Page 496 of Journal of Aircraft Vol. 10, Issue 8 [page]

1973 Journal of Aircraft  
For ex- ample, for conventional (CTOL) control of h with atti- tude, the closed inner-loop bandwidth (a measure of closed-loop response time) must be sufficiently high to permit fairly rapid corrections  ...  Under these conditions of constrained attitude, the pertinent dynamics of the aircraft’s motions are given by the attitude numerator, i.e., the closed, inner-loop de- nominator, A’, given in general by  ... 

Dynamic Output-Feedback Control Architectures Matter [Focus on Education]

2016 IEEE Control Systems  
If the inverses of F 1 and F 2 exist, the fact that[S1, p. 643] ) for the two-input architecture, numerator of (25) for the two-input architecture, which cancels the estimator dynamics out of the closed-loop  ...  For simplicity, consider a single-input, single-output system G(s); "Zero Calculation" shows that, with dynamic output-feedback control, the closed-loop transfer function is of the form ( ) ( ) ( ) ( )  ...  be given careful consideration in the design of the overall closed-loop system.  ... 
doi:10.1109/mcs.2016.2602641 fatcat:5zvpefcv5fhk3ftzj57nowfl4i

Page 216 of Journal of the Aerospace Sciences Vol. 27, Issue 3 [page]

1960 Journal of the Aerospace Sciences  
As can be seen from this sequence, the character of the closed-loop response could change drastically as a function of the actual flight condition. (3) Summary of Significant Closed-Loop Considerations  ...  The complete closed-loop Dutch roll will then always be positively damped, even though the presence of the roll-numerator zero will reduce this damping somewhat depending on the roll gain em- ployed.  ... 

A modified open-plus-closed-loop approach to control chaos in nonlinear oscillations

Li-Qun Chen, Yan-Zhu Liu
1998 Physics Letters A  
We present a modified form of open-plus-closed-loop control for chaotic oscillations described by a non-autonomous second-order ordinary differential equation.  ...  The Duffing-Helmholtz oscillator is treated as a numerical example to demonstrate the effectiveness and robustness of the method.  ...  Its effectiveness and robustness is demonstrated by a numerical example.Here the main idea of the open-plus-closed-loop control for chaotic oscillators is that the open-loop part creates a desired motion  ... 
doi:10.1016/s0375-9601(98)00342-9 fatcat:3b6x4shyt5d5lazwdepy4o7cz4

Oscillation in Closed-Loop System Involving Thyristor Amplifier with an Inductive Load
誘導負荷サイリスタ増幅器を含む閉ループ系の振動現象

Yoshihiro IKEDA, Shiro HATA
1975 Transactions of the Society of Instrument and Control Engineers  
in suitable forms for numerical calculations.  ...  The method is applied to closed-loop systems with two kinds of thyristor amplifier, namely an AC-DC converter and a DC chopper, and rigorous conditions for the 1/2-harmonic self-oscillation are obtained  ...  in suitable forms for numerical calculations.  ... 
doi:10.9746/sicetr1965.11.108 fatcat:7quvqeo2i5hubasdfeoe6css24

Fermion loop simulations in 2--d lattice theories -- results and limitations [article]

Markus Limmer, Christof Gattringer, Verena Hermann
2007 arXiv   pre-print
We review our results for the simulation of the 2--d lattice Gross--Neveu model in a fermion loop representation.  ...  Possible extensions of our techniques to other models and higher dimensions are discussed, as well as the limitations of loop--type representations.  ...  Acknowledgments: We thank Erek Bilgici, Philipp Huber, Christian Lang, Klaus Richter, Andreas Schäfer and Erhard Seiler for discussions and helpful remarks.  ... 
arXiv:0710.2794v1 fatcat:lui5ret6hzdnbod2bmv5wvci4u

Closed-Loop Feedback Flank Errors Correction of Topographic Modification of Helical Gears Based on Form Grinding

Huiliang Wang, Jubo Li, Yang Gao, Jianjun Yang
2015 Mathematical Problems in Engineering  
A numerical example of gear grinding, including on-machine measurement and closed-loop feedback correction completing process, is presented.  ...  Combined with gear form grinding kinematics principles, the equations of motion for each axis of five-axis computer numerical control forming grinding machine are established.  ...  Acknowledgments The authors are grateful to the National Natural Science Foundation of China for its financial support. Part of this work was performed under Contracts nos. 51375144 and 51405135.  ... 
doi:10.1155/2015/635156 fatcat:oiv2cngctvbblluqljcd4dp7gm

On the Comparison and Evaluation of Some Basic Regulator Design Methods

László Keviczky, Csilla Bányász
2021 American Journal of Computer Science and Technology  
The disadvantage is that this regulator assigns the pole of the closed-loop system, unfortunately it also leaves the numerator of the process untouched in T and puts another polynomial in the numerator  ...  The disadvantage is that this regulator assigns the pole of the closed-loop system, unfortunately it also leaves the numerator of the process untouched in T .  ... 
doi:10.11648/j.ajcst.20210403.14 fatcat:5farhl5o4nefhpp5xdl2sd7bve

Two-loop integrand decomposition into master integrals and surface terms

Harald Ita
2016 Physical Review D  
This decomposition facilitates a general, numerical unitarity approach for multi-loop amplitudes circumventing analytic integral reduction.  ...  Such a decomposition is an important input for the numerical unitarity approach, which constructs integrand coefficients from on-shell tree amplitudes.  ...  (V.10) The closed formsΩ closed are given by the holomorphic algebraic m-forms (V.7).  ... 
doi:10.1103/physrevd.94.116015 fatcat:ee46fkjiabfnfbkhwd5p6tr5ae

Synthesis of linear systems with desired equivalent form

M.M. Konstantinov, P.Hr. Petkov, N.D. Christov
1980 Journal of Computational and Applied Mathematics  
A method for feedback synthesis of linear control systems with desired linearly equivalent form of the closed loop system matrix is proposed.  ...  The algorithm for synthesis involves a simple recurrent procedure and gives the possibility to achieve any attainable equivalent form of the closed loop system.  ...  Van Dooren of Stanford University for his hetp comments on this paper.  ... 
doi:10.1016/0771-050x(80)90014-5 fatcat:bz4gz4pvsrftldc6arkjwzi56m

Exact solutions of electromagnetic fields in both near and far zones radiated by thin circular-loop antennas: a general representation

Le-Wei Li, Mook-Seng Leong, Pang-Shyan Kooi, Tat-Soon Yeo
1997 IEEE Transactions on Antennas and Propagation  
The closed form reduces to those for the sinusoidal current loop and further for the uniform current loop. Validity of the approximate formulas is discussed and clarified.  ...  in closed form.  ...  Also, the closed form for a given current distribution is very compact, as seen from (5) . III.  ... 
doi:10.1109/8.650191 fatcat:w2z2uy45u5glpouel4mt2cs55i
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