Stabilization of Crystallization Models Governed by Hyperbolic Systems
Alexander Zuyev, Peter Benner
备注：
Accepted for publication in the special volume "Stabilization of Distributed Parameter Systems: Design Methods and Applications", SEMA SIMAI Springer Series
发表信息：
In: Sklyar G., Zuyev A. (eds) Stabilization of Distributed Parameter Systems: Design Methods and Applications. SEMA SIMAI Springer Series, vol 2., 2021, pp. 123-135
This paper deals with mathematical models of continuous crystallization described by hyperbolic systems of partial differential equations coupled with ordinary and integro-differential equations. The considered systems admit nonzero steady-state solutions with constant inputs. To stabilize these solutions, we present an approach for constructing control Lyapunov functionals based on quadratic forms in weighted L2-spaces. It is shown that the proposed control design scheme guarantees exponential stability of the closed-loop system.
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H$_1$-ISS Analysis and Boundary Control Design for Coupled Linear ODEs and Hyperbolic PDEs
Universidade Federal de Santa Catarina（圣卡塔琳娜联邦大学）；Université Grenoble Alpes, CNRS, Grenoble-INP, GIPSA-lab（格勒诺布尔阿尔卑斯大学，法国国家科学研究中心，格勒诺布尔国立理工学院，GIPSA实验室）
