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About Stability of One System of Stochastic Difference Equations with Exponential Nonlinearity
Leonid Shaikhet
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Stability of Volterra Difference Equations
Differential Equations, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kolmanovskii, V. B., Kosareva, N. P.
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Nonuniform Stability of Arbitrary Difference Equations
Results in Mathematics, 2015We describe two approaches to study the robustness of the exponential stability of an arbitrary difference equation with finite delay on a Banach space. The first approach is based on a characterization of Perron-type of the exponential stability in terms of the invertibility of a certain linear operator between spaces of bounded sequences.
Barreira, Luis +2 more
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Stability of finite-difference equations
Journal of Soviet Mathematics, 1988zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boikov, I. V., Zhechev, I. I.
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On the Stability of Positive Difference Equations
IFAC Proceedings Volumes, 2009In this chapter, we are interested with stability of linear continuous-time difference equations. These equations involve delays, which can be non commensurable. Spectrum analysis comes down to the zeros analysis of an exponential polynomial. From previous results on stability dependent or independent of delays, we focus on the particular case of ...
Di Loreto, Michaël +1 more
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Stability Analysis of Impulsive Fractional Difference Equations
Fractional Calculus and Applied Analysis, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Guo-Cheng, Baleanu, Dumitru
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Stability of Difference-Integral Delay Equations
2020 39th Chinese Control Conference (CCC), 2020This article discusses the existence of the complete quadratic Lyapunov functional of a class of difference-integral delay systems and its stability. First, two kinds of special difference-integral equations are equivalently transformed into coupled differential difference equations with time-delay, this result in the expressions of the solutions of ...
Hongfei Li, Lijun Zhang
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Robust stability of delay-difference equations
Proceedings of 1995 34th IEEE Conference on Decision and Control, 2002Some issues in the stability of difference-delay in the linear and the nonlinear case are investigated. In particular, sufficient conditions are derived under which a system remains stable or unstable, independent of the length of the delay(s). Connections are made to certain Riccati equations and to singular perturbations of discrete maps.
E.I. Verriest, A.F. Ivanov
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Stability of semi-autonomous difference equations
Russian Mathematics, 2011The difference equation \[ x(n+1)- x(n)=-\sum^N_{k=0} a_k x(n- b_k(n)) \] with positive coefficients and nonnegative bounded integer delays \(h_k\) is investigated with respect to uniform stability resp. uniformly exponential stability.
Kulikov, A. Yu., Malygina, V. V.
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Asymptotic stability of (q, h)-fractional difference equations
Applied Mathematics and Computation, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mei Wang +3 more
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