Asymptotic stability of differential systems with impulsive effects suffered by logic choice

Suo, Jinghui; Sun, Jitao

doi:10.1016/j.automatica.2014.10.090

Cited by 82 publications

(34 citation statements)

References 18 publications

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“…However, for a problem with logic choice, for example, the differential systems with impulsive effects suffered by logic choice, see [27], can we solve such a problem by the iterative method?…”

Section: Resultsmentioning

confidence: 99%

On the multilevel nonlinear problem and its convergence algorithms

He¹

2016

J. Nonlinear Sci. Appl.

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In this paper, applying the geometrical knowledge of Hilbert spaces, we investigate and analyze a system of multilevel split fixed point problems (MSFP). New split solution algorithms are introduced and strong convergence theorems for (MSFP) are established. At the end of this paper, as an application of our results, we investigate and analyze a system of multilevel split variational inclusion problems (MSVIP) and some strong convergence solution for (MSVIP) are obtained. These results obtained by this paper improve and develop some known ones in the literature.

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Section: Resultsmentioning

confidence: 99%

On the multilevel nonlinear problem and its convergence algorithms

He¹

2016

J. Nonlinear Sci. Appl.

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“…Let us also note, that in this case the number of jumps need not to be finite (as usually in the theory of impulsive differential problems, e.g. [14]) and thus our approach allows to study the Zeno phenomenon for hybrid systems (with infinite number of jumps -see [46], [47], [26], [43]).…”

Section: Remark 311mentioning

confidence: 99%

Existence theory for semilinear evolution inclusions involving measures

Cichoń

Satco

2016

Mathematische Nachrichten

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We provide existence results for semilinear differential inclusions involving measures: trueleftdu∈Au0.28em0.28emdt+Ffalse(t,ufalse)0.28emdg0.28em,1emt∈false[0,1false],leftu(0)=u0,where A is the infinitesimal generator of a C0‐semigroup {T(t),t≥0} of contractions on a separable Banach space X and g:[0,1]→R is a right‐continuous non‐decreasing function. The existence of mild solutions, as well as the compactness of the solution set are obtained via Kakutani–Ky Fan's fixed point theorem in the space of regulated functions endowed with weak, respectively strong topologies. Some examples of special cases covered by our existence results have been included.

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“…Email: sunjt@sh163.com being recognised not only richer than the corresponding theory of ordinary differential systems but also represents a more natural framework for mathematical modelling of many real world phenomena (see Shen & Liu, 2006). Significant progresses for impulsive differential systems have been made in the past few decades (see e.g., Chen, Li, & Lu, 2013;Federson & Mesquita, 2013;Lakshmikantham, Bainov, & Simeonov, 1989;Li, Sun, & Sun, 2010;Stamova, 2014;Suo & Sun, 2014).…”

Section: Introductionmentioning

confidence: 99%

Sample controllability of impulsive differential systems with random coefficients

Zhang

2014

International Journal of Systems Science

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In this paper, we investigate the controllability of impulsive differential systems with random coefficients. Impulsive differential systems with random coefficients are a different stochastic model from stochastic differential equations. Sufficient conditions of sample controllability for impulsive differential systems with random coefficients are obtained by using random Sadovskii's fixed-point theorem. Finally, an example is given to illustrate our results.

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Asymptotic stability of differential systems with impulsive effects suffered by logic choice

Cited by 82 publications

References 18 publications

On the multilevel nonlinear problem and its convergence algorithms

On the multilevel nonlinear problem and its convergence algorithms

Existence theory for semilinear evolution inclusions involving measures

Sample controllability of impulsive differential systems with random coefficients

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