Stability and asymptotic stability
A note on asymptotic stability of delay difference systems
... DELAY DIFFERENCE SYSTEMS HIDEAKI MATSUNAGA Received 9 September 2003 and in revised form 22 December 2004 For the linear delay difference system x n+1 − x n = Ax n − k , where A is a 2 × 2 real constant matrix and k is a ...
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Global Asymptotic Stability in a Class of Difference Equations
... [5] X. Yang, D. J. Evans, and G. M. Megson, “Global asymptotic stability in a class of Putnam-type equations,” Nonlinear Analysis: Theory, Methods & Applications, vol. 64, no. 1, pp. 42–50, 2006. [6] J. ...
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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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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 ...
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Uniform asymptotic stability implies exponential stability for nonautonomous half linear differential systems
... uniform asymptotic stability is not equivalent to exponential stability in the case of nonlinear ...uniform asymptotic stability is equivalent to exponential stability for the ...
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Uniform Asymptotic Stability and Robust Stability for Positive Linear Volterra Difference Equations in Banach Lattices
... Here and subsequently, Qz denotes the Z-transform of {Qn}; that is, Qz : ∞ n0 Qnz −n , which is defined for |z| ≥ 1 under our assumption ∞ n0 Qn < ∞. Then, zI − Qz is called the characteristic operator associated with ...
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Uniform Asymptotic Stability and Slow Convergence in Adaptive Systems
... Keywords: Adaptive systems; Asymptotic stability; Convergence analysis 1. INTRODUCTION Adaptive systems for the control of linear time-invariant plants can be shown to be stable under ideal conditions, with ...
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Global asymptotic stability for quadratic fractional difference equation
... the asymptotic behavior of the solutions of the considered ...global stability and global asymptotic stability of the zero or positive equilibrium of this ...
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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 ...
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New stability criteria for asymptotic stability of time delay systems via integral inequalities and Jensen inequalities
... new stability criteria for the asymptotic stability of time-delay systems via integral inequalities and Jensen ...the asymptotic stability of the linear system with time-delay is ...
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Digital Phase Plane for Analyzing Asymptotic Stability of Digital Systems
... The University of Auckland, New Zealand [email protected] Abstract-Digital phase plane is presented in this paper. For constant input second order digital systems with arbitrary initial conditions for arbitrary ...
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Műszaki Informatika Szak DIPLOMADOLGOZAT. Asymptotic Stability of an Evaporator System
... the asymptotic stability of systems given in DAE form on the example of a two-phase lumped parameter evaporator ...checking stability can only be applied to purely differential models, we substitute ...
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Global Asymptotic Stability for a New Class of Neutral Neural Networks
... global asymptotic stability of a neutral-type neural networks, with time-varying delays, are presented and ...global asymptotic stability of this neural network has been ...
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Global Asymptotic Stability of Solutions to Nonlinear Marine Riser Equation
... the asymptotic behavior of solutions of nonlinear wave equations with nonlinear dissipative terms see, ...on asymptotic stability of the zero solution and estimates of the zero solution and the ...
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On the asymptotic stability of a class of jump diffusions of neutral type with impulses
... the asymptotic stability in the pth moment for a class of jump-diffusions of neutral type with ...the stability of jump-diffusions of neutral type with impulses are established by means of the Banach ...
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Global asymptotic stability of solutions of cubic stochastic difference equations
... sure asymptotic stability of solutions of some nonlinear stochastic dif- ference equations with cubic-type main part in their drift and di ff usive part driven by square-integrable martingale differences is ...
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The p th moment asymptotic stability and exponential stability of stochastic functional differential equations with polynomial growth condition
... moment asymptotic stability and the exponential stability of nonlinear stochastic functional differential equations (SFDEs) satisfying the local Lipschitz condition but not the linear growth ...
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On Asymptotic Stability of Linear Control Systems
... In the first part of the paper, we consider the stability problem of a matrix polytope through common quadratic Lyapunov functions. We suggest a modified gradient algorithm. In the second part by using Bendixson’s ...
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Global asymptotic stability of inhomogeneous iterates
... Then we apply the results to investigate the stability of equilibrium of T when it satisfies certain type of sublinear conditions with respect to the partial order defined by a closed convex cone. The examples of ...
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A note on asymptotic stability conditions for delay difference equations
... Lenbury: Department of Mathematics, Faculty of Science, Mahidol University, 272 Rama 6 Road, Bangkok 10400, Thailand. E-mail address : [email protected][r] ...
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