Search results for: Jiří Jánský

Items from 1 to 4 out of 4 results

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On stability and stabilization of some discrete dynamical systems

Jan Čermák, Jiří Jánský, Hideaki Matsunaga

Mathematical Methods in the Applied Sciences > 41 > 10 > 3684 - 3695

The paper formulates effective and nonimprovable stability conditions for a linear difference system involving 2 integer delays. The used technique combines algorithm of the discrete D‐decomposition method with some procedures of the polynomial theory. Contrary to the related existing results, the derived conditions are fully explicit with respect to both delays, which enables their simple applicability...

article

Stability and periodic investigations of linear planar difference systems

Jan Čermák, Jiří Jánský

Mathematical Methods in the Applied Sciences > 39 > 18 > 5343 - 5354

This paper discusses the problem of stability and periodic behaviour of linear planar difference systems appearing in modelling of discrete problems of population biology and Hopfield neural networks. We concentrate especially on procedures, which enable to formulate optimal (i.e. necessary and sufficient) conditions guaranteing such a behaviour. As a main tool, we analyse in detail location of zeros...

article

Explicit stability conditions for a linear trinomial delay difference equation

Jan Čermák, Jiří Jánský

Applied Mathematics Letters > 2015 > 43 > Complete > 56-60

We present new type of necessary and sufficient conditions for the asymptotic stability of the zero solution of the linear difference equation x(n)=αx(n−m)+βx(n−k) where α,β are real scalars and k>m>0 are integers. Compared to the existing criteria, our conditions are fully explicit and simple to analyse. In particular, we show the usefulness of these conditions in the description of appropriate...

article

Stability switches in linear delay difference equations

Jan Čermák, Jiří Jánský

Applied Mathematics and Computation > 2014 > 243 > Complete > 755-766

The paper discusses necessary and sufficient conditions for the asymptotic stability of the zero solution of the linear delay difference equation y(n+1)=αy(n)+βy(n-k), where α,β are complex numbers and k is a positive integer. Compared to the case when α,β are real numbers, the stability behavior of this equation turns out to be much richer. In particular, if |α|+|β|>1 then, as k monotonously increases,...

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ASYMPTOTIC STABILITY (2)
CHARACTERISTIC POLYNOMIAL (2)
DIFFERENCE EQUATIONS (2)
LOCATION OF ZEROS (2)
STABILITY THEORY (2)
DELAY DIFFERENCE EQUATION (1)
LINEAR DELAY DIFFERENCE EQUATION (1)
PERIODIC SOLUTIONS (1)
POLYNOMIALS (1)
STABILITY SWITCH (1)
STABILIZATION OF SYSTEMS BY FEEDBACK (1)
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Search results for: Jiří Jánský

On stability and stabilization of some discrete dynamical systems

Stability and periodic investigations of linear planar difference systems

Explicit stability conditions for a linear trinomial delay difference equation

Stability switches in linear delay difference equations

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INFONA - science communication portal

Search results for: Jiří Jánský

On stability and stabilization of some discrete dynamical systems

Stability and periodic investigations of linear planar difference systems

Explicit stability conditions for a linear trinomial delay difference equation

Stability switches in linear delay difference equations

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