Browsing Mathematics, Statistics & Physics by Author "Aksikas, Ilyasse"
Now showing items 1-5 of 5
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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 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). ...