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Zbl 0877.93121
Sontag, Eduardo D.; Wang, Yuan
On characterizations of the input-to-state stability property. (English)
[J] Syst. Control Lett. 24, No.5, 351-359 (1995). ISSN 0167-6911

Summary: 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.

MSC 2000:: *93D25 Input-output approaches to stability of control systems
93C10 Nonlinear control systems

Keywords: Nonlinear stability; Input/state stability; Lyapunov function techniques

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