Browsing Mathematics, Statistics & Physics by Subject "Negative imaginary systems"

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    • Finding the Nearest Negative Imaginary System with Application to Near-Optimal Controller Design 

      Mabrok, M.A.; Mabrok, Mohamed A. ( Institute of Electrical and Electronics Engineers Inc. , 2023 , Conference Paper)
      In this paper, we consider the problem of robust stabilization of linear time-invariant systems with respect to unmodeled dynamics and structure uncertainties. To that end, we first present a methodology to find the nearest ...

    • Koopman Operator Approximation Under Negative Imaginary Constraints 

      Mabrok, Mohamed A.; Aksikas, Ilyasse; Meskin, Nader ( Institute of Electrical and Electronics Engineers Inc. , 2023 , Article)
      Nonlinear Negative Imaginary (NI) systems arise in various engineering applications, such as controlling flexible structures and air vehicles. However, unlike linear NI systems, their theory is not well-developed. In this ...