10 citations · 33 across the 24 of their papers we have counts for
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Backstepping Control of Continua of Linear Hyperbolic PDEs and Application to Stabilization of Large-Scale Coupled Hyperbolic PDE Systems
Jukka-Pekka Humaloja, Nikolaos Bekiaris-Liberis
We develop a backstepping control design for a class of continuum systems of linear hyperbolic PDEs, described by a coupled system of an ensemble of rightward transporting PDEs and…
Average Predictor-Feedback Control Design for Switched Linear Systems
Andreas Katsanikakis, Nikolaos Bekiaris-Liberis, Delphine Bresch-Pietri
We develop an input delay-compensating feedback law for linear switched systems with time-dependent switching. Because the future values of the switching signal, which are needed f…
Numerical and Lyapunov-Based Investigation of the Effect of Stenosis on Blood Transport Stability Using a Control-Theoretic PDE Model of Cardiovascular Flow
Shantanu Singh, Nikolaos Bekiaris-Liberis
We perform various numerical tests to study the effect of (boundary) stenosis on blood flow stability, employing a detailed and accurate, second-order finite-volume scheme for nume…
On Computation of Approximate Solutions to Large-Scale Backstepping Kernel Equations via Continuum Approximation
Jukka-Pekka Humaloja, Nikolaos Bekiaris-Liberis
We provide two methods for computation of continuum backstepping kernels that arise in control of continua (ensembles) of linear hyperbolic PDEs and which can approximate backstepp…
Simultaneous compensation of input delay and state/input quantization for linear systems via switched predictor feedback
Florent Koudohode, Nikolaos Bekiaris-Liberis
We develop a switched predictor-feedback law, which achieves global asymptotic stabilization of linear systems with input delay and with the plant and actuator states available onl…
Stabilization of a Class of Large-Scale Systems of Linear Hyperbolic PDEs via Continuum Approximation of Exact Backstepping Kernels
Jukka-Pekka Humaloja, Nikolaos Bekiaris-Liberis
We establish that stabilization of a class of linear, hyperbolic partial differential equations (PDEs) with a large (nevertheless finite) number of components, can be achieved via…