Characteristic Equation
Stability and Hopf Bifurcation Analysis of Delayed Rosenzweig-MacArthur Model with Prey Immigration
... the characteristic equation through partial differential equation theory, and by analyzing the distribution of the roots of the characteristic equation, the local stability of the ...
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Against Phase Veloсities of Elastic Waves in Thin Transversely Isotropic Cylindrical Shell
... The characteristic equation for wave numbers of elastic axisymmetrical waves in the transversely isotropic cylindrical shell we receive by expanding the determinant, which is equals ...
5
An Exact Method to Compute Time Delay Margin for Stability of Time- Delayed Generator Excitation Control System
... delays on the stability of a generator excitation control system compensated with a stabilizing transformer known as rate feedback stabilizer to damp out oscillations. The time delays are due to the use of measurement ...
8
Fuzzy Delay Differential Equation in Predator-Prey Interaction: Analysis on Stability of Steady State
... The organization of this paper is as follows. In Section 2, the basic definitions regarding the fuzzy number, steady states and characteristic equation are briefly presented. In Section 3 delay ...
5
Comparison of the hyperbolic range of two-fluid models on two-phase gas -liquid flows
... of characteristic equation leads to an ill-posed initial value problem and failure to achieve converged and consistent ...the characteristic equation of governing equations in solution ...
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A modified Leverrier-Faddeev algorithm for matrices with multiple-eigenvalues
... The Ieverrier algorithm as modified by Faddeev gives the characteristic equation of a matrix A, its inverse, and the eigenvector corresponding to a simple eigenvalue h [r] ...
11
Propagation, Excitation, and Orthogonality of Modes in a Parallel Plate, Anisotropic Waveguide Using a Modified, Coordinate Transformation
... wave equation satisfying Dirichlet and mixed-partial derivative boundary ...modal characteristic equation analysis used to determine the propagating and complex (or non propagating) modes that may ...
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Soft Soil Seismic Design Spectra Including Soil-structure Interaction
... a characteristic equation, the spectral acceleration is extracted from the design spectrum at each natural period and the maximum responses are calculated from the spectral analysis equations using the ...
8
PID Stabilization of Linear Neutral Time Delay Systems in a Numerical Approach
... rightmost characteristic roots and Nyquist ...closed-loop characteristic equation of the neutral time-delay system and then stability is checked by Nyquist plot and step response of closed-loop ...
6
Control Strategy of Triple Effect Evaporators based on Solar Desalination of Red Sea water
... that has been widely reported in desalination unit. Evaporators are the largest heat users and major contributors to losses in desalination factories .These factors make effective evaporator control crucial to overall ...
7
The Evaluation of Development Tourism in Abgarm City (Qazvin Province-Iran) with Regard to SWOT Model
... In this section the resistance of model toward error of model, have been examined and will be compared to the two above discussed methods. In control systems with time delay, the exist of error in the model can have a ...
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Analytical Solution of Kolmogorov Equations for Four Condition Homogenous, Symmetric and Ergodic System
... ristic equation coefficients on intensity of failure and recovery flows are ...of characteristic equation meet the demands of functional dependence matching proposed visible analytical solution of ...
5
Grabbe Ramo Wooldridge Handbook of Automation Computation and Control Vol 1 1958 pdf
... The characteristic equation with vanishing roots, namely zn = 0, has the least control area.. Such a system can be shown to recover most quickly from a disturbance.[r] ...
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Bifurcation Analysis on the Mathematical Model of Measles Disease Dynamics
... Abstract In this paper we proposed a Mathematical model of Measles disease dynamics. The Disease Free Equilibrium (DFE) state, Endemic Equilibrium (EE) states and the characteristic equation of the model ...
5
Search | Preprints
... of characteristic equation (14) has absolute value greater than one, then the equilibrium point x of ...of characteristic equation (14) has absolute value equal to ...of characteristic ...
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The stability analysis of a system with two delays
... The method originated from paper [24]. This method consists in obtaining a “partition” of the parameter space in several regions, so that each region is bounded by a hyper sur- face which corresponds to the case when at ...
11
Alternative Views of Some Extensions of the Padovan Sequence with the Google Colab
... ), which is represented by Figure 4. In this case, we notice the presence of five pockets, one more central and the other four more lateral, representing the number of roots of the characteristic equation. ...
8
Photovoltaic Generator Characteristics Modeling Using MATLAB/SIMULINK
... By calling “fsolve” command and after some iterations system of equations will be solved and vector M will be; M = [5.2446e+001;9.3563e-001;4.5487e+000; 4.8275e- 010;5.6723e-001] (18) So the characteristic ...
6
Search | Preprints
... teristic equation (13) has absolute value equal to ...of characteristic equation (13) with absolute value equal to one, then the equilibrium x is called ...
14
Lecture11-SystemStability
... • In this case, we need to establish an auxiliary (helping) polynomials which immediately precedes the zero entry in the Routh array. The order of the auxiliary polynomial is always even and indicates the number of ...
23