Stability and Stable Oscillations in Discrete Time Systems

Halanay, A.; Râsvan, Vladimir

doi:10.1201/9781482283280

Cited by 51 publications

(26 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We shall note that for asymptotically almost periodic sequence φ = {φ(n)}, the decomposition φ = φ 1 + φ 2 in Definition 2.4 is unique (see [13,25]). …”

Section: Preliminariesmentioning

confidence: 98%

See 1 more Smart Citation

Almost periodic solutions of discrete Volterra equations

Song¹

2006

Journal of Mathematical Analysis and Applications

View full text Add to dashboard Cite

show abstract

“…We shall note that for asymptotically almost periodic sequence φ = {φ(n)}, the decomposition φ = φ 1 + φ 2 in Definition 2.4 is unique (see [13,25]). …”

Section: Preliminariesmentioning

confidence: 98%

“…Let us first review some definitions of uniformly almost periodic sequences (see [21]) and almost periodic sequences (see [13,25]). For almost periodic and asymptotically almost periodic functions, we recommend [7,24,25].…”

Section: Preliminariesmentioning

confidence: 99%

Almost periodic solutions of discrete Volterra equations

Song¹

2006

Journal of Mathematical Analysis and Applications

View full text Add to dashboard Cite

show abstract

“…We start with the following definitions from [17,21]. In [10] it was shown that the notions of Bohr almost periodicity and Bochner almost periodicity are equivalent.…”

Section: Almost Periodic Difference Equationsmentioning

confidence: 99%

Towards a Theory of Periodic Difference Equations and Its Application to Population Dynamics

Elaydi

Luís

Oliveira

2011

Dynamics, Games and Science I

View full text Add to dashboard Cite

This survey contains the most updated results on the dynamics of periodic difference equations or discrete dynamical systems this time. Our focus will be on stability theory, bifurcation theory, and on the effect of periodic forcing on the welfare of the population (attenuance versus resonance). Moreover, the survey alludes to two more types of dynamical systems, namely, almost periodic difference equations and stochastic difference equations.

show abstract

“…The theory of stability, optimal control and applications of periodic systems is available in several recent monographs [1][2][3][4] as well as in the references therein. The so called stabilizing solution of discrete-time periodic systems has a crucial role in solving a linear linear quadratic optimal control problem on infinite time horizon.…”

Section: Introductionmentioning

confidence: 99%

The Iterative Solution to Discrete-Time H∞ Control Problems for Periodic Systems

Ivanov¹,

Bogdanova²

2016

Algorithms

View full text Add to dashboard Cite

This paper addresses the problem of solving discrete-time H ∞ control problems for periodic systems. The approach for solving such a type of equations is well known in the literature. However, the focus of our research is set on the numerical computation of the stabilizing solution. In particular, two effective methods for practical realization of the known iterative processes are described. Furthermore, a new iterative approach is investigated and applied. On the basis of numerical experiments, we compare the presented methods. A major conclusion is that the new iterative approach is faster than rest of the methods and it uses less RAM memory than other methods.

show abstract

Stability and Stable Oscillations in Discrete Time Systems

Cited by 51 publications

References 0 publications

Almost periodic solutions of discrete Volterra equations

Almost periodic solutions of discrete Volterra equations

Towards a Theory of Periodic Difference Equations and Its Application to Population Dynamics

The Iterative Solution to Discrete-Time H∞ Control Problems for Periodic Systems

Contact Info

Product

Resources

About