[PDF] Top 20 On the Stability Analysis of Delay Differential-Algebraic Equations
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On the Stability Analysis of Delay Differential-Algebraic Equations
... Example 1 have shown, that the spectral location will only give a right prediction to the behaviour of the solution when the initial function belongs to a suitable function space. Therefore, it raises two important ... See full document
13
Almost sure exponential stability of stochastic differential delay equations
... exponential stability of the SDE, then there exists a positive number τ ∗ such that the SDDE ...the delay is bounded by τ ∗ ...exponential stability of ... See full document
16
Generalized sensitivity analysis for delay differential equations
... generalized sensitivity functions with respect to q = (K, b, τ ) T . The solutions of the TSFs imply that the solution is sensitive to all three parameters, with the sensitivities varying in phase with each other, and ... See full document
24
On differential–algebraic equations in infinite dimensions
... In the previous section, we have shown that the spectra connected to strong and mild solutions coincide. Hence, one might argue that the asymptotic properties (i.e., exponen- tial stability or instability) of ... See full document
34
Exponential stability of fractional stochastic differential equations with distributed delay
... This paper is organized as follows: In Section , the explicit form of solution to the retarded SDE with an fBm is given. In Section , asymptotic behavior of the solution is provided, and sufficient conditions are derived ... See full document
8
Stability of highly nonlinear neutral stochastic differential delay equations
... stochastic differential delay equations (NSDDEs) have been studied intensively for the past several ...the stability of hybrid NSDDEs without the linear growth condition, to which we will ... See full document
7
Solving Delay Differential Equations with Constant Lags using RKCeM Method
... Delay differential equations (DDEs) arise in population dynamics [1], control systems [2], chemical kinetics [3] and in many areas of Science and ...of stability regionof RK method for ...the ... See full document
9
A Biologically-Based Controlled Growth and Differentiation Model Using Delay Differential Equations: Development, Applications and Stability Analysis.
... However, the modeling does not stop there. Information on immature germ cell dynamics indicates that the immature sperm cells progress through the various stages of development on a very precise and carefully measured ... See full document
108
Stability of highly nonlinear hybrid stochastic integro-differential delay equations
... the stability of the systems due to highly ...no delay dependent criterion which can be applied to the SIDDE to derive a su ffi cient bound on the time-delay τ such that the SIDDE ... See full document
27
Fault Detection in Differential Algebraic Equations.
... Although specific to ODE models, [68] demonstrates potential for an extension to nonlinear DAE models, although there are some subtleties. In general, one would expect a linearized DAE to provide local information on the ... See full document
187
Almost sure exponential stability of an explicit stochastic orthogonal Runge Kutta Chebyshev method for stochastic delay differential equations
... For the purpose of stability, we assume that f (, ) = g(, ) = , which implies that (.) admits the equilibrium solution y(t) = corresponding to the initial condition ψ (t) = for t ∈ [–τ , ]. As a ... See full document
8
Nonlinear Buckling of Circular Nano Plates on Elastic Foundation
... governing equations are obtained based on displacements. The differential quadrature method (DQM) as a numerical procedure is applied for solving the ...this analysis, for solving the ... See full document
9
Three-dimensional Magneto-thermo-elastic Analysis of Functionally Graded Truncated Conical Shells
... the differential quadrature method (DQM) is employed to discretize the resulting differential equations and transform them into a system of algebraic ... See full document
16
2. Stability of a linear integro-differential equation of first order with variable delays
... In [4], instead of using a Lyapunov functional, the author studied asymptotic stabil- ity of the above IDE by using the concept of a contraction mapping in line with the fixed point theory for a class of equations ... See full document
12
Stability of Exponential Euler Method for Linear Stochastic Delay Differential Equations
... stochastic differential delay equations under the generalized Khasminskii-type conditions, Applied Mathematics and Computation, 217(2011), ...and stability of Euler method for impulsive ... See full document
6
Stability for Functional Differential Equations with Delay in Banach Spaces
... [21] Driver, D.R. (1984) A Mixed Neutral Systems. Nonlinear Analysis : Theory , Me- thods & Applications , 8, 155-158. https://doi.org/10.1016/0362-546X(84)90066-X [22] Popov, E.P. (1966) Automatic Regulation ... See full document
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14. On the stability and instability of functional Volterra integro-differential equations of first order
... [9] John R. Graef, C. Tun¸ c and S. Sevgin, Behavior of solutions of non-linear functional Voltera integro -differential equations with multiple delays, Dynam. Systems Appl. 25 (2016) 39–46. [10] G. ... See full document
10
Stability analysis of linear multistep methods for delay differential equations
... Stability properties of linear multistep methods for delay differential equations with respect to the test equation.. It is known that the solution of this equation is.[r] ... See full document
12
Stabilization of Linear Differential-algebraic Equations with Time-varying Delay
... sense. Stability and control have been developed in the literature using Lyapunov-like ...linear differential-algebraic equations with time-varying ... See full document
6
Robust Stability of Implicit Dynamic Equations on Time Scales
... robust stability of implicit dynamic equations on time scales, which is a general form of differential algebraic equations and implicit difference ...exponential stability of ... See full document
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