A Small-Gain Condition for Interconnections of ISS Systems With Mixed ISS Characterizations
نویسندگان
چکیده
منابع مشابه
Stability of Interconnections of ISS Systems
Interconnections of several nonlinear systems with inputs are considered in this paper. Each system is assumed to be input-to-state stable (ISS). However an interconnection of such systems is not stable in general. We provide a stability condition for interconnections of such systems. Some interpretations of this condition are given. Moreover we show how an ISS-Lyapunov function for such a netw...
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In this paper ISS small-gain theorems for discrete-time systems are stated, which do not require input-to-state stability (ISS) of each subsystem. This approach weakens conservatism in ISS small-gain theory, and for the class of exponentially ISS systems we are able to prove that the proposed relaxed small-gain theorems are non-conservative in a sense to be made precise. The proofs of the small...
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We introduce a concept of input-to-output practical stability (IOpS) which is a natural generalization of input-to-state stability proposed by Sontag. It allows us to establish two important results. The first one states that the general interconnection of two IOpS systems is again an IOpS system if an appropriate composition of the gain functions is smaller than the identity function. The seco...
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ژورنال
عنوان ژورنال: IEEE Transactions on Automatic Control
سال: 2011
ISSN: 0018-9286
DOI: 10.1109/tac.2010.2080110