On the Input-to-State Stability Property
نویسنده
چکیده
The “input to state stability” (iss) property provides a natural framework in which to formulate notions of stability with respect to input perturbations. In this expository paper, we review various equivalent definitions expressed in stability, Lyapunov-theoretic, and dissipation terms. We sketch some applications to the stabilization of cascades of systems and of linear systems subject to control saturation.
منابع مشابه
On characterizations of the input-to-state stability property
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.
متن کاملFurther Equivalences and Semiglobal Versions of Integral Input to State Stability
This paper continues the study of the integral input-to-state stability (iiss) property. It is shown that the iiss property is equivalent to one which arises from the consideration of mixed norms on states and inputs, as well as to the superposition of a “bounded energy bounded state” requirement and the global asymptotic stability of the unforced system. A semiglobal version of iiss is shown t...
متن کاملSontag 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 کاملSmall Gain Theorems on Input-to-Output Stability
This paper presents nonlinear small gain theorems for both continuous time systems and discrete time systems in a general setting of input-to-output stability. Most small gain theorems in the past literature were stated for interconnected systems of which the subsystems are either input-to-state stable, or are input-to-output stable and satisfy an additional condition of input/output-to-state s...
متن کاملA note on the robustness of input-to-state stability
This paper develops a unified framework for studying robustness of the input-to-state stability (ISS) property and presents new results on robustness of ISS to slowly varying parameters, to rapidly varying signals, and to generalized singular perturbations.
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عنوان ژورنال:
- Eur. J. Control
دوره 1 شماره
صفحات -
تاریخ انتشار 1995