Regional Weak and Strong Stabilization of Time Delay Infinite Dimensional Bilinear Systems
<p id="p2">This chapter centers its attention on achieving regional stabilization for infinite-dimensional bilinear systems with time delay that evolves within the spatial domain <span class="inline-formula"><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="m1"><mml:mi mathvariant="normal...
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| Autores principales: | , , |
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| Formato: | Capítulo de libro |
| Lenguaje: | inglés |
| Publicado: |
IntechOpen
2024
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| Materias: | |
| Acceso en línea: | https://www.intechopen.com/chapters/88595 |
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| Sumario: | <p id="p2">This chapter centers its attention on achieving regional stabilization for infinite-dimensional bilinear systems with time delay that evolves within the spatial domain <span class="inline-formula"><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="m1"><mml:mi mathvariant="normal">Ω</mml:mi></mml:math></span>. The central objective is to investigate the asymptotic patterns of such systems within a designated subregion <span class="inline-formula"><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="m2"><mml:mi>ω</mml:mi></mml:math></span> of <span class="inline-formula"><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="m3"><mml:mi mathvariant="normal">Ω</mml:mi></mml:math></span>. Subsequently, we proceed to showcase the realization of regional weak stabilization through the application of conditions related to weak observability. Furthermore, the potential for regional strong stabilization is demonstrated, contingent on the fulfillment of exact observability conditions. To validate the precision of the theoretical outcomes, we incorporate illustrative examples and simulations.</p> |
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| ISBN: | 978-1-83769-195-1 |
| DOI: | 10.5772/intechopen.113027 |