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A note on Approximate controllability of differential inclusion with non-instantaneous impulses | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 20 شهریور 1404 اصل مقاله (429.55 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.34305.5122 | ||
| نویسندگان | ||
| Vineet Kumar Chaurasiya1؛ Brijendra Kumar Chaurasiya* 2؛ Avadhesh Kumar2 | ||
| 1Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University Mathura, 281406, India | ||
| 2Department of Mathematics, School of Advanced Sciences, VIT-AP University, Amaravati 522237, India | ||
| تاریخ دریافت: 12 خرداد 1403، تاریخ بازنگری: 05 آبان 1403، تاریخ پذیرش: 28 آذر 1403 | ||
| چکیده | ||
| The article explores the study of approximation controllability in a particular subset of differential inclusion systems that include non-instantaneous impulses in the Banach space X. By using non-linear alternatives for Kakutani mappings, semi-group theory, and fixed-point theorems. Our approach yields noteworthy conclusions. Furthermore, we provide a concrete example to clarify how the suggested theoretical framework might be used in practice. An investigation of the concept of approximation controllability is crucial for comprehending the dynamics of a system, especially in situations when attaining exact control is difficult. When we consider systems with impulses that do not happen instantly, we face complexity that requires advanced mathematical techniques for a comprehensive examination. Our study expands the theoretical comprehension of controllability in complex systems and provides valuable insights for both theoretical investigation and practical applications in control theory. | ||
| کلیدواژه‌ها | ||
| Approximate controllability؛ Differential inclusions؛ Non-instantaneous impulses؛ Analytic semi-group | ||
| مراجع | ||
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