Input-to-State Stability for PDEs
Iasson Karafyllis, Miroslav KrsticThis book lays the foundation for the study of input-to-state stability (ISS) of partial differential equations (PDEs) predominantly of two classes—parabolic and hyperbolic. This foundation consists of new PDE-specific tools.
In addition to developing ISS theorems, equipped with gain estimates with respect to external disturbances, the authors develop small-gain stability theorems for systems involving PDEs. A variety of system combinations are considered:
- PDEs (of either class) with static maps;
- PDEs (again, of either class) with ODEs;
- PDEs of the same class (parabolic with parabolic and hyperbolic with hyperbolic); and
- feedback loops of PDEs of different classes (parabolic with hyperbolic).
年:
2019
版:
1st ed.
出版社:
Springer International Publishing
言語:
english
ISBN 10:
3319910116
ISBN 13:
9783319910116
シリーズ:
Communications and Control Engineering
ファイル:
PDF, 4.30 MB
IPFS:
,
english, 2019
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