Differential Algebraic Equations
Analysis of Numerical Methods for Differential-Algebraic Equations: The one Step Methods Gaussian Quadrature Rule
... 5. D.Liberzon and S.Trenn, On stability of linear switched differential algebraic equations. In Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. ...
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The Numerical Solution of Partial Differential-Algebraic Equations (PDAEs) By Multivariate Pade Approximation
... Many important mathematical models can be expressed in terms of Partial Differential Alge- braic Equations(PDAEs). Such models arise in many areas of mathematics, engineering, the physical sciences and ...
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Pseudo-transient continuation and differential-algebraic equations
... 4. Conclusion. We have shown, under natural assumptions, that tc is a globally convergent method for semi-explicit index-1 differential-algebraic equations. We have also argued that the index-1 DAE ...
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Observer Construction for Systems of Differential Algebraic Equations Using Completions.
... of equations that utilizes the available measurements, or observations, on the inputs and outputs of the physical system to produce an asymptotic estimate of the ...of equations is constructed from a ...
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On the Stability Analysis of Delay Differential-Algebraic Equations
... Abstract: The stability analysis of linear time invariant delay differential- algebraic equations (DDAEs) is analyzed. Examples are delivered to demonstrate that the eigenvalue-based approach to ...
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Linear Differential-Algebraic Equations (Benchmark Proposal)
... In this manuscript we have presented a diverse set of challenging executable benchmarks for the verification of differential algebraic equations. We have also provided a tool named Daev that is able ...
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Bolh-Perron Theorem for Differential Algebraic Equations
... In lots of applications there is a frequently arising question, namely how robust is a characteristic qualitative property of a system (e.g., the stability) when the system comes under the effect of uncertain ...
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Stabilization of Linear Differential-algebraic Equations with Time-varying Delay
... Abstract—Stabilization involves finding feedback controllers which stabilize the closed-loop system in the finite-time sense. Stability and control have been developed in the literature using Lyapunov-like method. In ...
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Applications of Fractional Differential Transform Method to Fractional Differential-Algebraic Equations
... of differential-algebraic equations (DAEs), and the solution of these equations has been a subject of many investigators in recent ...of differential- algebraic equations ...
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On higher index differential-algebraic equations in infinite dimensions
... Abstract. We consider initial value problems for differential-algebraic equations in a possibly infinite-dimensional Hilbert space. Assuming a growth condition for the associated operator pencil, we ...
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On differential–algebraic equations in infinite dimensions
... H, differential-algebraic equations have applications to control and electrical circuit theory, see ...of differential-algebraic equations in infinite spatial ...
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Differential Algebraic Equations of MOS Circuits and Jump Behavior
... in the following we assume S to be a smooth manifold. The second condition requires the construction of a vector field X on the smooth manifold S . Based on fundamental physi- cal laws, the relationships between currents ...
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Periodic solutions of semi-explicit differential-algebraic equations with time-dependent constraints
... differential-algebraic equations with non-autonomous constraints of a particular ...differential equations on implicitly defined manifolds, combined with elementary facts of matrix ...
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Approximate Solution for Fuzzy Differential Algebraic Equations of Fractional Order Using Fractional Differential Transform Method
... Piston-Ring Assembly (a) Equivalent Stresses (von-misses) (b) Result Maximum shear stress (c) frictional Stress Acting on Bronze Piston Ring (d) Sliding distance occur during the operat[r] ...
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A graph-theoretic approach to sparse matrix inversion for implicit differential algebraic equations
... system equations of DAE models for the stanford manipulator, where the numbers of systems equa- tions correspond to those of the unknown variables according to the elimination of redundant ...
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Initial value problems for system of differential algebraic equations in Maple
... nonsingular and nilpotent part. Then generalized inverse for A and B is calculated, and the problem is reduced to solving a system of ODEs. So existing solvers for ODEs can be used. In Matlab, the equation is also ...
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Stability criteria for neutral delay differential algebraic equations with many delays
... According to [12], the matrix pencil has index 1, but the index of the system is 3, while the strangeness index is zero if f = 0. The stability property depends on the index of a system, especially the strangeness index. ...
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The Additional Dynamics of the Least Squares Completions of Linear Differential Algebraic Equations
... In the previous section we have determined the additional dynamics of the LSC de- fined by the standard derivative array, one that is formed by successively differentiating the DAE. We have concluded that the solution ...
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Efficient Numerical Methods for Solving Differential Algebraic Equations
... The methods are constructed with the objective of solving DAE systems in their original forms. Both algorithms use the Runge-Kutta method as the integrator, and couple this with a method to solve the algebraic ...
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Fault Detection in Differential Algebraic Equations.
... High-quality optimization software is required to solve Problem 4.1.2. There are a variety of good optimization software packages available. In order to handle the specific formulations presented in this section the ...
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