On characterizations of the input-to-state stability property
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چکیده
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.
منابع مشابه
Sontag and Wang : New Characterizations of Input to State Stability 1285
| We present new characterizations of the Input to State Stability property. As a consequence of these results , we show the equivalence between the ISS property and several (apparent) variations proposed in the literature.
متن کاملSeparation Principles for Input-Output and Integral-Input-to-State Stability
We present new characterizations of input-output-to-state stability. This is a notion of detectability formulated in the ISS framework. Equivalent properties are presented in terms of asymptotic estimates of the state trajectories based on the magnitudes of the external input and These results provide a set of separation principles for input-output-to-state stability – characterizations of the ...
متن کاملLyapunov 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.
متن کاملSontag and Wang : New Characterizations of Input To
| We present new characterizations of the Input to State Stability property. As a consequence of these results , we show the equivalencebetween the ISS property and several (apparent) variations proposed in the literature.
متن کاملCharacterizations of the Non-uniform in Time Iss Property and Applications
For time-varying control systems various characterizations of the non-uniform in time input-to-state stability property (ISS) are provided. These characterizations enable us to derive sufficient conditions for ISS and feedback stabilization for composite systems.
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تاریخ انتشار 1995