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Asymptotic Stability

Digital Phase Plane for Analyzing Asymptotic Stability of Digital Systems

Digital Phase Plane for Analyzing Asymptotic Stability of Digital Systems

... DPP gives, in plot form, solutions to the asymptotic stability of (6). Based on (15) and Corollary 2, all LCs can be found in the circles of (20). Theorem 1 and Theorem 2 in this paper could be applied to ...

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On asymptotic stability of Weber fractional differential systems

On asymptotic stability of Weber fractional differential systems

... the asymptotic stability of these systems. We present the stability regions and then compare the stability regions of fractional differential systems with the Riemann-Liouville and Weber ...

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Asymptotic stability for dynamic equations on time scales

Asymptotic stability for dynamic equations on time scales

... Remark 2.9. Comparing Lemmas 2.7 and 1.5 we see that nabla exponential functions ap- proach zero in the larger region (see (1.25)) in the complex plane than delta exponential functions (see (2.87)). Thus ...

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Global asymptotic stability of solutions of cubic stochastic difference equations

Global asymptotic stability of solutions of cubic stochastic difference equations

... that asymptotic stability can be guaranteed for the discretization of the re- lated continuous-time system ...moment stability issues have been examined for corresponding drift-implicit θ- and ...

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Asymptotic stability of a repairable system with imperfect switching mechanism

Asymptotic stability of a repairable system with imperfect switching mechanism

... In this section, we will study the asymptotic stability of the repairable system. We will prove that there exists a nonnegative steady solution of the system, and the dynamic solu- tion converges to the ...

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Permanence and Globally Asymptotic Stability of Cooperative System Incorporating Harvesting

Permanence and Globally Asymptotic Stability of Cooperative System Incorporating Harvesting

... “Global Asymptotic Stability of a Two Species Competitive System with Stage Struc- ture and Harvesting,” Communications in Nonlinear Sci- ence & Numerical Simulation, ...

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Global Asymptotic Stability in a Class of Difference Equations

Global Asymptotic Stability in a Class of Difference Equations

... This article has studied the global asymptotic stability of a class of di ff erence equations. The result obtained extends and generalizes some previous results. We are attempting to apply the technique used ...

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Global asymptotic stability for quadratic fractional difference equation

Global asymptotic stability for quadratic fractional difference equation

... the asymptotic behavior of solutions of ...global asymptotic behavior of solutions of ...global asymptotic behavior of solutions of ...global asymptotic behavior of solutions of ...global ...

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Strict diagonal dominance in asymptotic stability of general equilibrium

Strict diagonal dominance in asymptotic stability of general equilibrium

... Stability of general equilibrium is usually depicted by a dynamic process of price adjustment which makes the flow of prices eventually come to rest at certain prices, so that the supply and demand of every ...

7

On asymptotic stability of Prabhakar fractional differential systems

On asymptotic stability of Prabhakar fractional differential systems

... the asymptotic stability analysis of fractional differential systems with the Prabhakar fractional ...the stability regions for these types of fractional differential ...the stability aspects of ...

9

Uniform asymptotic stability implies exponential stability for nonautonomous half linear differential systems

Uniform asymptotic stability implies exponential stability for nonautonomous half linear differential systems

... From Theorems A and D, for the linear differential system (.), uniform asymptotic stability and global exponential stability are equivalent. In the case of the linear system (.), the following ...

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A note on asymptotic stability of delay difference systems

A note on asymptotic stability of delay difference systems

... is reduced to r < 3(1 − µ)/4(1 + µ), while, by Remark 2.3, one can easily verify that the zero solution of the linearized system (2.36) is asymptotically stable if and only if r < 1; and so our claim is valid. ...

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Asymptotic stability and boundedness of stochastic functional differential equations with Markovian switching

Asymptotic stability and boundedness of stochastic functional differential equations with Markovian switching

... The stability problem of SDDEs with Markovian switching under different settings has been discussed, for example, in [10]-[13], ...the asymptotic stability and boundedness of SDDEs with Markovian ...

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Global Asymptotic Stability for a New Class of Neutral Neural Networks

Global Asymptotic Stability for a New Class of Neutral Neural Networks

... global asymptotic stability of the neural networks. All these stability criteria are expressed in the form of linear matrix inequalities, which are solvable by the use of the Matlab ...

6

Asymptotic stability for a symmetric parabolic problem modeling Ohmic heating

Asymptotic stability for a symmetric parabolic problem modeling Ohmic heating

... Ohmic-heating model, which comes from thermal electricity in this paper, u and f (u) represent the temperature of the conductor and the electrical conductivity. The model prescribes the dimensionless temperature when the ...

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Asymptotic stability of standing waves for the coupled nonlinear Schrödinger system

Asymptotic stability of standing waves for the coupled nonlinear Schrödinger system

... This paper considers the asymptotic stability of standing waves of a coupled nonlinear Schrödinger system with an attractive potential.. In particular, for the existence of standing wave[r] ...

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Asymptotic stability of positive periodic solution for semilinear evolution equations

Asymptotic stability of positive periodic solution for semilinear evolution equations

... Remark  Under the assumptions of Theorem  or Corollary , the existence and unique- ness of positive ω-periodic mild solutions for Eq. () were obtained by Li in []. So, in this paper, we mainly focus on the ...

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Global asymptotic stability of inhomogeneous iterates

Global asymptotic stability of inhomogeneous iterates

... globally asymptotic stability of the inhomogeneous iterates of {T n ...the stability of equilibrium of T when it satisfies certain type of sublinear conditions with respect to the partial order defined ...

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A note on asymptotic stability conditions for delay difference equations

A note on asymptotic stability conditions for delay difference equations

... Kaewong: Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand E-mail address: theeradach@tsu.ac.th Y.. Lenbury: Department of Mathematics, Fac[r] ...

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