Solution of the Continuous-Time State Equations
Time-Domain Solution of LTI State Equations. 2 State-Variable Response of Linear Systems
... Solution: The system may be treated as a rotational system. The moment of inertia J of the mass is J = ml 2 , and when the rod is displaced from the vertical, gravity exerts a torque mgl sin θ about the bearing as ...
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Generalized continuous time random walks, master equations, and fractional Fokker-Planck equations
... generalized continuous time random walk model with biased jumps has been used to consider transport that is also subject to an external ...master equations for continuous time random ...
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Formulation of Impulsive Differential Equations with Time-Dependent Continuous Delay
... differential equations has been undergoing some exciting growth in recent ...differential equations, in general, and indeed impulsive delay differential equations are very important models for ...
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Stabilization of continuous-time hybrid stochastic differential equations by discrete-time feedback control
... of continuous-time hybrid stochastic differen- tial equations (also known as stochastic differential equations with Markovian switching) by discrete-time feedback ...by ...
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Time-dependent solution of the NIMFA equations around the epidemic threshold
... We solve the differential equations of the N -intertwined mean-field approximation of the susceptible-infected-susceptible epidemic process with heterogeneous spreading parameters around[r] ...
Noise tolerant continuous time Zhang neural networks for time varying Sylvester tensor equations
... the time-varying Sylvester tensor equations (TVSTEs) with noise, we will design three noise-tolerant continuous-time Zhang neural networks (NTCTZNNs), termed NTCTZNN1, NTCTZNN2, NTCTZNN3, ...
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State scaling of continuous-time sigma-delta modulators
... Abstract. In this paper, the common method of scaling the feedback coefficients of continuous time sigma delta modu- lators in order to stabilize the system is enhanced. The pre- sented approach scales the ...
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State-switching continuous-time correlated random walks
... one-state continuous-time model (such as the CTCRW) is fitted to the data, and a large number m of possible realisations of the movement process are simulated from the model on a regular time ...
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State-switching continuous-time correlated random walks
... These state- switching models describe animal movements as the outcome of several distinct behaviours, ...in continuous-time ...fine time scale, a disadvantage in dealing with large tracking ...
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On the numerical solution of large-scale sparse discrete-time Riccati equations
... cannot exploit sparsity of the problem and are therefore not suitable for large- scale problems. An iterative procedure for stabilizing large-scale discrete-time systems is suggested in [25] and can be used for ...
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Positive solution of singular BVPs for a system of dynamic equations on time scales
... Abstract This paper is devoted to derivation of some necessary and sufficient conditions for the existence of positive solutions to a singular second-order system of dynamic equations with Dirichlet boundary ...
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Cell-Vertex Based Multigrid Solution of the Time-Domain Maxwell's Equations
... The time domain Maxwell’s equations posed as a set of hyperbolic conservation laws are solved using a cell-vertex based multilevel scheme originally proposed by Ni for the solution of nonlinear Euler ...
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GLOBAL IN TIME EXISTENCE OF STRONG SOLUTION TO 3D NAVIER-STOKES EQUATIONS
... IN TIME EXISTENCE OF STRONG SOLUTION TO 3D NAVIER-STOKES EQUATIONS ABDELKERIM CHAABANI ...in time existence for arbitrary large in H 1 initial data of a strong solution to 3D periodic ...
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Ground state solution and multiple solutions to asymptotically linear Schrödinger equations
... Abstract In this paper, we consider the Schrödinger equation – u + V(x)u = f (x, u), x ∈ R N , where V and f are periodic in x 1 , . . . , x N , asymptotically linear and satisfies a monotonicity condition. We use the ...
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Lyapunov functionals construction for stochastic difference second kind Volterra equations with continuous time
... erential equations with afteref- fect and stochastic difference equations is ...Volterra equations with continuous time usable in mathematical ...
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A general solution to the continuous-time estimation problem under widely linear processing
... 5 Concluding Remarks A new WL estimator has been given for solving general continuous-time estimation problems. The formulation considered can be adapted in order to include as parti- cular cases a great ...
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Closed form transient solution of continuous time Markov chains through uniformization
... the solution of DTMC and CTMC using the undetermined coefficients ...transient solution of a Markov chain, it is not covered, or it is done superficially, in the books found in the ...transient ...
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Dynamics-aware Continuous-time Economic Dispatch: A Solution for Optimal Frequency Regulation
... real time [2, ...shorter time horizons so as to minimize the reliance on AGC regulation that—while engineered to encourage—does not guarantee economic optimality for large excursions away from ED ...
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Asymptotic behavior of solution for a fractional Riemann-Liouville differential equations on time scales
... with α ∈ [ 0, 1 ) , where T t 0 D t α x is the Riemann-Liouville fractional derivative of order α of x on time scales. We obtain some asymptotic behavior of solutions for the equation by developing a generalized ...
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Solution of Space Time Fractional Partial Differential Equations By Adomian Decomposition Method
... differential equations. In recent years, fractional differential equations have attracted many researchers due to their applications in the field ofvisco-elasticity, feedback amplifiers, electrical ...
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