A “small gain” theorem for time-varying systems
نویسندگان
چکیده
منابع مشابه
Comments on "A Multichannel IOS Small Gain Theorem for Systems With Multiple Time-Varying Communication Delays
The small-gain condition presented by Polushin et al. may be replaced by a strictly weaker one to obtain essentially the same result. The necessary minor modifications of the proof are given. Using essentially the same arguments, a global version of the result is also presented.
متن کاملSmall Gain Theorem with Restrictions for Uncertain Time-varying Nonlinear Systems
This paper gives three versions of the small gain theorem with restrictions for uncertain time-varying nonlinear systems. The result can be viewed as an extension of the small gain theorem with restrictions for time-invariant nonlinear systems or the small gain theorem without restrictions for time-varying nonlinear systems. The result can be applied to study the stabilization problem or the ou...
متن کاملA Multichannel IOpS Small-Gain Theorem for Large Scale Systems
— This paper extends known results on the stability analysis of interconnected systems. In particular, a small-gain theorem for the interconnection of an arbitrary number of systems via communication channels is presented. Here the communication between the subsystems is over a delayed, possibly lossy communication channel. To this end, a notion of input-to-output stability for functional diffe...
متن کاملA Lyapunov-based small-gain theorem for interconnected switched systems
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 Non-Conservative Small-Gain Theorem for GAS Discrete-Time Systems
This paper makes use of the concept of a finite–time Lyapunov function to derive a non– conservative small-gain theorem for stability analysis of interconnected discrete–time nonlinear systems. Firstly, it is shown that the existence of a global finite–time Lyapunov function is equivalent to global asymptotic stability (GAS) of the overall interconnected system. Secondly, it is indicated that e...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 1993
ISSN: 0893-9659
DOI: 10.1016/0893-9659(93)90105-v