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article · Journal of Optimization Differential Equations and their Applications

Regional Feedback Stabilization of Distributed Bilinear Systems with Time Delay

Abstract

The current study focuses on the regional stabilization of infinite dimensional bilinear systems with time delays, evolving in a spatial domain Ω. It consists of studying the asymptotic behaviour of such a system in a subregion ω of Ω. Then, we demonstrate regional weak stabilization under weak observability conditions, while regional strong stabilization is achievable under exact observability conditions. Illustrative examples and simulations are included to validate the theoretical results.

Research topics

  • Stability and Controllability of Differential Equations
  • Advanced Control Systems Optimization
  • Control and Stability of Dynamical Systems

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DOI: 10.15421/142408

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