Network Observability Analysis Through Measurement Jacobian Matrix Reduction

1987 ◽  
Vol PER-7 (5) ◽  
pp. 40-41 ◽  
Author(s):  
Ilya W. Slutsker ◽  
Jon M. Scudder
Keyword(s):  
Jacobian Matrix ◽  
Matrix Reduction ◽  
Observability Analysis

Improved Cubature Kalman Filtering-Based Estimation of the Jacobian Matrix for Environment Mutation

2019 ◽  
Author(s):  
Xiuqian Jia ◽  
Haixia Wang ◽  
Chunyang Sheng ◽  
Zhiguo Zhang ◽  
Wei Cui ◽  
...  
Keyword(s):  
Kalman Filtering ◽  
Jacobian Matrix

scholarly journals The dynamics of a Leslie type predator–prey model with fear and Allee effect

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
S. Vinoth ◽  
R. Sivasamy ◽  
K. Sathiyanathan ◽  
Bundit Unyong ◽  
Grienggrai Rajchakit ◽  
...  
Keyword(s):  
Local Stability ◽  
Allee Effect ◽  
Jacobian Matrix ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Fear Effect ◽  
Prey Model ◽  
Lyapunov Coefficient ◽  
Points Of View ◽  
Two Parameter

AbstractIn this article, we discuss the dynamics of a Leslie–Gower ratio-dependent predator–prey model incorporating fear in the prey population. Moreover, the Allee effect in the predator growth is added into account from both biological and mathematical points of view. We explore the influence of the Allee and fear effect on the existence of all positive equilibria. Furthermore, the local stability properties and possible bifurcation behaviors of the proposed system about positive equilibria are discussed with the help of trace and determinant values of the Jacobian matrix. With the help of Sotomayor’s theorem, the conditions for existence of saddle-node bifurcation are derived. Also, we show that the proposed system admits limit cycle dynamics, and its stability is discussed with the value of first Lyapunov coefficient. Moreover, the numerical simulations including phase portrait, one- and two-parameter bifurcation diagrams are performed to validate our important findings.

Observability Analysis of a Power System Stochastic Dynamical Model Using a Derivative-Free Approach

2021 ◽  
pp. 1-1
Author(s):  
Zongsheng Zheng ◽  
Yijun Xu ◽  
Lamine Mili ◽  
Zhigang Liu ◽  
Mert Korkali ◽  
...  
Keyword(s):  
Power System ◽  
Dynamical Model ◽  
Observability Analysis ◽  
Derivative Free
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