Results 241 to 250 of about 861,879 (285)

On the Stability of Positive Difference Equations

IFAC Proceedings Volumes, 2009
In 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, Loiseau, Jean Jacques   +1 more
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Stability Analysis of Impulsive Fractional Difference Equations

Fractional Calculus and Applied Analysis, 2018
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Wu, Guo-Cheng, Baleanu, Dumitru
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Stability of Difference-Integral Delay Equations

2020 39th Chinese Control Conference (CCC), 2020
This 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, 2002
Some 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, 2011
The 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, 2019
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Mei Wang, Feifei Du, Churong Chen, Baoguo Jia   +3 more
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Stability of nonlinear homogeneous difference equations

Journal of Economic Theory, 1985
The paper deals with nonlinear n-th order difference equations of the form \[ z_ t=H(z_{t-1},z_{t-2},...,z_{t-n}) \] where the function H is positively homogeneous of degree one, nondecreasing in each variable and strictly increasing in the first and the last variable.
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Robust Stabilizing Solution of the Riccati Difference Equation

European Journal of Control, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zou, Jianping, Gupta, Yash P.
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Stability of certain nonautonomous difference equations

Positivity, 2015
Stability conditions for the equilibrium points of \[ x_n=f_n(x_{n-1},\dots,x_{n-m}) \] on metric and ordered Banach spaces are discussed; the right hand side function is required to satisfy some contractive conditions.
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Ulam‐Hyers stability of Caputo fractional difference equations

Mathematical Methods in the Applied Sciences, 2019
We study the Ulam‐Hyers stability of linear and nonlinear nabla fractional Caputo difference equations on finite intervals. Our main tool used is a recently established generalized Gronwall inequality, which allows us to give some Ulam‐Hyers stability results of discrete fractional Caputo equations.
Churong Chen, Martin Bohner, Baoguo Jia
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