Controllability of second-order impulsive evolution systems with infinite delay
By G. Arthi, Krishnan Balachandran. Nonlinear Analysis: Hybrid Systems, 2014
62 citations recorded by the source corpus.
Abstract In this paper, we examine the controllability problems of certain impulsive differential equations. Sufficient conditions ensuring the controllability of second-order impulsive evolution systems with infinite delay are established. Fixed point approaches are employed for achieving the required results. An example is discussed to illustrate the efficiency of the result.
Subfields: Applied Mathematics, Control and Systems Engineering, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/f1e44c9e7229dbbfbf96269857137bafbcdfcae2
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In Applied Mathematics
- V. Vijayakumar
- Rathinasamy Sakthivel
- Rangasamy Murugesu
- Nazim Idrisoglu Mahmudov
- Malik Muslim
- Avadhesh Kumar
- Jerzy Klamka
- R. Udhayakumar
In Control and Systems Engineering
- V. Vijayakumar
- Rathinasamy Sakthivel
- Rangasamy Murugesu
- Nazim Idrisoglu Mahmudov
- Malik Muslim
- Avadhesh Kumar
- Jerzy Klamka
- R. Udhayakumar
In Numerical Analysis
- V. Vijayakumar
- Nazim Idrisoglu Mahmudov
- Rathinasamy Sakthivel
- Malik Muslim
- Rangasamy Murugesu
- Avadhesh Kumar
- Tuncer Acar
- Krzysztof Rykaczewski
Citations in the corpus
- Exact and trajectory controllability of second‐order evolution systems with impulses and deviated arguments (2018, background): “In the most of the works, the existence of solutions to the problem (2) is related to the existence of an evolution operator S (t, s) for the homogeneous equation: x′′ðtÞ 1⁄4 AðtÞxðtÞ; 0 ≤ t; s ≤ T: (3) Let us assume that the domain of A(t) is a subspace D, which is dense in X and independent of t, ”
- Approximate Controllability for a Class of Second-Order Stochastic Evolution Inclusions of Clarke’s Subdifferential Type (2018, background): “2) are studied by many authors [2,3,14,15,18,44,48,49] and the references cited therein.”
- Approximate Controllability of Second-Order Evolution Differential Inclusions in Hilbert Spaces (2015, background): “Concerning the general motivations, relevant developments and the current status of the theory, we refer the reader to [1,4,5,22,23,26,41,45,46,51,54,55].”
- Controllability for a class of second-order evolution differential inclusions without compactness (2019, background): “Recently, several works reported the existence results for impulsive functional differential systems of first-order and second-order, see [1,2,4,5,7,8,14,17,21,42,43].”