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math.OC2002
Measurement to Error Stability: a Notion of Partial Detectability for Nonlinear Systems
Brian P. Ingalls, Eduardo D. Sontag, Yuan Wang
In previous work the notion of input to state stability (ISS) has been generalized to systems with outputs, yielding a number of useful concepts. When considering a system whose ou…
math.OC2001
A Small-Gain Theorem with Applications to Input/Output Systems, Incremental Stability, Detectability, and Interconnections
Brian Ingalls, Eduardo D. Sontag
A general ISS-type small-gain result is presented. It specializes to a small-gain theorem for ISS operators, and it also recovers the classical statement for ISS systems in state-s…
math.OC2001
Integral-Input-Output to State Stability
Brian Ingalls
A notion of detectability for nonlinear systems is discussed. Within the framework of ``input to state stability'' (ISS), a dual notion of ``output to state stability'' (OSS), and…