Input-to-State Stability for Discrete-Time Monotone Systems
B.S. Rüffer, R. Sailer, in: Proc. 21st Int. Symp. Mathematical Theory of Networks and Systems (MTNS), 2014.
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Rüffer, Björn S.;
Sailer, Rudolf
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Abstract
It is well known that input-to-state stability admits an astonishing number of equivalent characterizations. Here it is shown that for monotone systems on $\Rnp$ there are some additional characterizations that are useful for network stability analysis. These characterizations include system theoretic properties, algebraic properties, as well as the problem of finding simultaneous bounds on solutions to a collection of inequalities.
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Proc. 21st Int. Symp. Mathematical Theory of Networks and Systems (MTNS)
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Rüffer BS, Sailer R. Input-to-State Stability for Discrete-Time Monotone Systems. In: Proc. 21st Int. Symp. Mathematical Theory of Networks and Systems (MTNS). ; 2014.
Rüffer, B. S., & Sailer, R. (2014). Input-to-State Stability for Discrete-Time Monotone Systems. Proc. 21st Int. Symp. Mathematical Theory of Networks and Systems (MTNS).
@inproceedings{Rüffer_Sailer_2014, title={Input-to-State Stability for Discrete-Time Monotone Systems}, booktitle={Proc. 21st Int. Symp. Mathematical Theory of Networks and Systems (MTNS)}, author={Rüffer, Björn S. and Sailer, Rudolf}, year={2014} }
Rüffer, Björn S., and Rudolf Sailer. “Input-to-State Stability for Discrete-Time Monotone Systems.” In Proc. 21st Int. Symp. Mathematical Theory of Networks and Systems (MTNS), 2014.
B. S. Rüffer and R. Sailer, “Input-to-State Stability for Discrete-Time Monotone Systems,” 2014.
Rüffer, Björn S., and Rudolf Sailer. “Input-to-State Stability for Discrete-Time Monotone Systems.” Proc. 21st Int. Symp. Mathematical Theory of Networks and Systems (MTNS), 2014.
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