On Lyapunov-Krasovskii Characterizations of Input-to-Output Stability
نویسندگان
چکیده
منابع مشابه
Lyapunov Characterizations of Input to Output Stability
This paper presents necessary and sufficient characterizations of several notions of input to output stability. Similar Lyapunov characterizations have been found to play a key role in the analysis of the input to state stability property, and the results given here extend their validity to the case when the output, but not necessarily the entire internal state, is being regulated.
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Iasson Karafyllis , Pierdomenico Pepe and Zhong-Ping Jiang Department of Environmental Engineering, Technical University of Crete, 73100, Chania, Greece; Dipartimento di Ingegneria Elettrica e dell'Informazione, Università degli Studi dell'Aquila, Monteluco di Roio, 67040, L'Aquila, Italy; Department of Electrical and Computer Engineering, Polytechnic Institute of New York University, Six Metro...
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We show that the well-known Lyapunov sufficient condition for "input-to-state stability" (ISS) is also necessary, settling positively an open question raised by several authors during the past few years. Additional characterizations of the ISS property, including one in terms of nonlinear stability margins, are also provided.
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This work explores Lyapunov characterizations of the input-output-to-state stability (IOSS) property for nonlinear systems. The notion of IOSS is a natural generalization of the standard zero-detectability property used in the linear case. The main contribution of this work is to establish a complete equivalence between the IOSS property and the existence of a certain type of smooth Lyapunov fu...
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ژورنال
عنوان ژورنال: IFAC-PapersOnLine
سال: 2017
ISSN: 2405-8963
DOI: 10.1016/j.ifacol.2017.08.2015