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Asymptotic stability of time-varying distributed parameter semi-linear systems
(
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 ...
Optimal control of a time-varying system of coupled parabolic-hyperbolic PDEs
(
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 ...
Asymptotic behaviour of contraction non-autonomous semi-flows in a Banach space: Application to first-order hyperbolic PDEs
(
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 ...