Discrete-time Lyapunov-based small-gain theorem for parameterized interconnected ISS systems
نویسندگان
چکیده
منابع مشابه
Lyapunov based small-gain theorem for parameterized discrete-time interconnected ISS systems
Input-to-state stability (ISS) of a feedback interconnection of two discrete-time ISS systems satisfying an appropriate small gain condition is investigated via the Lyapunov method. In particular, an ISS Lyapunov function for the overall system is constructed from the ISS Lyapunov functions of the two subsystems. We consider parameterized families of discretetime systems that naturally arise wh...
متن کاملDiscrete-time Lyapunov-based small-gain theorem for parameterized interconnected ISS systems
Input-to-state stability (ISS) of a feedback interconnection of two discrete-time ISS systems satisfying an appropriate small gain condition is investigated via the Lyapunov method. In particular, an ISS Lyapunov function for the overall system is constructed from the ISS Lyapunov functions of the two subsystems. We consider parameterized families of discrete-time systems that naturally arise w...
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Stability of an interconnected system consisting of two switched systems is investigated in the scenario where in both switched systems theremay exist some subsystems that are not input-to-state stable (nonISS). We show that, providing the switching signals neither switch too frequently nor activate non-ISS subsystems for too long, a small-gain theorem can be used to conclude global asymptotic ...
متن کاملA Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems
The goal of this paper is to provide a Lyapunov statement and proof of the recent nonlinear small-gain theorem for interconnected input/state-stable (ISS) systems. An ISS-Lyapunov function for the overall system is obtained from the corresponding Lyapunov functions for both the subsystems. Copyright @ 1996 Elsevier Science Ltd.
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We consider strongly connected networks of input-to-state stable (ISS) systems. Provided a small gain condition holds it is shown how to construct an ISS Lyapunov function using ISS Lyapunov functions of the subsystems. The construction relies on two steps: The construction of a strictly increasing path in a region defined on the positive orthant in R by the gain matrix and the combination of t...
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ژورنال
عنوان ژورنال: IEEE Transactions on Automatic Control
سال: 2003
ISSN: 0018-9286
DOI: 10.1109/tac.2003.817928