On characterizations of the input-to-state stability property. (English) Zbl 0877.93121

Sontag, Eduardo D.; Wang, Yuan

Syst. Control Lett. 24, No. 5, 351-359 (1995).

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:

93D25	Input-output approaches in control theory
93C10	Nonlinear systems in control theory

Keywords:

Nonlinear stability; Input/state stability; Lyapunov function techniques

References:

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