• Asymptotic behaviour of contraction non-autonomous semi-flows in a Banach space: Application to first-order hyperbolic PDEs 

      Aksikas, Ilyasse ( Elsevier Ltd , 2016 , Conference Paper)
      The asymptotic behaviour is studied for a class of non-autonomous infinite-dimensional non-linear dissipative systems. This is achieved by using the concept of contraction semi-flow, which is a generalization of contraction ...
    • Asymptotic stability of time-varying distributed parameter semi-linear systems 

      Aksikas, Ilyasse ( IFAC , 2014 , Conference Paper)
      The asymptotic behaviour is studied for a class of non-linear distributed parameter time-varying dissipative systems. This is achieved by using time-varying infinite-dimensional Banach state space description. Stability ...
    • 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 ...
    • Optimal control of a non-isothermal catalytic packed-bed reactor model 

      Aksikas, Ilyasse; Moghadam, Amir Alizadeh; Forbes, Fraser ( Institute of Electrical and Electronics Engineers Inc. , 2016 , Conference Paper)
      This work deals with the linear-quadratic control problem for a non-isothermal packed-bed catalytic reactor, which is described by coupled hyperbolic and parabolic partial differential equations model. The classical Riccati ...
    • Optimal control of a time-varying system of coupled parabolic-hyperbolic PDEs 

      Aksikas, Ilyasse; Moghadam, Amir Alizadeh; Forbes, Fraser ( IEEE Computer Society , 2017 , Conference Paper)
      This paper is devoted to design an optimal linear quadratic controller for a time-varying system of coupled parabolic and hyperbolic partial differential equations (PDEs). Infinite-dimensional state space approach is adopted ...
    • Single-step full-state feedback control design for nonlinear hyperbolic PDEs 

      Xu, Qingqing; Aksikas, Ilyasse; Dubljevic, Stevan ( Taylor and Francis Ltd. , 2019 , Article)
      The present work proposes an extension of single-step formulation of full-state feedback control design to the class of distributed parameter system described by nonlinear hyperbolic partial differential equations (PDEs). ...