A Convergent Fixed-Point Proximity Algorithm Accelerated by FISTA for the ℓ0 Sparse Recovery Problem

Aiming at the traditional topology identification based on steady-state operation, a topology identification method considering power system transient data is proposed. Firstly, the power system is dynamically modeled. Through theoretical derivation, the feature vectors that can reflect the topology information are extracted, and the topology identification problem is transformed into a sparse vector recovery problem. Based on compressive sensing theory, the orthogonal matching pursuit algorithm is adopted to solve the sparse recovery problem. Since the identification process is bidirectional, there may be some identification conflicts. For this consideration, an optimization strategy is introduced to improve the original algorithm. The influence of each algorithm parameter on the topology identification performance is then studied. By considering the transient process, a large amount of effective identification data was obtained in only a few processes. Finally, a simulation test on the proposed algorithm on the IEEE standard 22-bus power distribution system is conducted. The results show that the improved algorithm has outperformed the traditional algorithm.

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Mental equilibrium: Identifying fixed-point attractors in the stream of thought

PsycEXTRA Dataset ◽

10.1037/e633872013-031 ◽

2003 ◽

Author(s):

Robin R. Vallacher ◽

Andrzej Nowak ◽

Matthew Rockloff

Keyword(s):

Fixed Point

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ON THE RANDOM FIXED POINT THEOREMS IN ABSTRACT SPACE

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30707-0 ◽

1981 ◽

Vol 1 (2) ◽

pp. 133-144 ◽

Cited By ~ 2

Author(s):

Shaozhong Chen ◽

Zuoshu Liu

Keyword(s):

Fixed Point ◽

Fixed Point Theorems ◽

Abstract Space ◽

Random Fixed Point

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Fixed point model for adaptive token passing bus protocol

IEE Proceedings E Computers and Digital Techniques ◽

10.1049/ip-e.1992.0007 ◽

1992 ◽

Vol 139 (1) ◽

pp. 50 ◽

Cited By ~ 2

Author(s):

P.G. Harrison ◽

F. Naraghi

Keyword(s):

Fixed Point ◽

Point Model ◽

Token Passing

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Bifurcation in a Simple Model of the Cardiovascular System

Methods of Information in Medicine ◽

10.1055/s-0038-1634285 ◽

2000 ◽

Vol 39 (02) ◽

pp. 118-121 ◽

Cited By ~ 5

Author(s):

S. Akselrod ◽

S. Eyal

Keyword(s):

Nonlinear Dynamics ◽

Blood Pressure ◽

Heart Rate ◽

Fixed Point ◽

Cardiovascular System ◽

Modified Model ◽

Mayer Waves ◽

Sustained Oscillations ◽

Human Cardiovascular System ◽

Physiological Values

Abstract:A simple nonlinear beat-to-beat model of the human cardiovascular system has been studied. The model, introduced by DeBoer et al. was a simplified linearized version. We present a modified model which allows to investigate the nonlinear dynamics of the cardiovascular system. We found that an increase in the -sympathetic gain, via a Hopf bifurcation, leads to sustained oscillations both in heart rate and blood pressure variables at about 0.1 Hz (Mayer waves). Similar oscillations were observed when increasing the -sympathetic gain or decreasing the vagal gain. Further changes of the gains, even beyond reasonable physiological values, did not reveal another bifurcation. The dynamics observed were thus either fixed point or limit cycle. Introducing respiration into the model showed entrainment between the respiration frequency and the Mayer waves.

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