this paper works on the concept of flatness and its practical application for the design of an optimal transient controller in a synchronous machine. the feedback linearization scheme of interest requires the generation of a flat output from which the feedback control law can easily be designed. thus the computation of the flat output for reduced order model of the synchronous machine with simp...

Bilinear systems in input/output form are introduced, and represented by means of suitable rational functions in two indeterminates. Necessary and sufficient conditions for BIBO stability are derived, and compared with analogous results on 2D systems stability. Several features of the output evolutions, corresponding to finite support as well as to periodic input sequences, are discussed, and r...

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This work explores Lyapunov characterizations of the input-output-to-state stability (IOSS) property for nonlinear systems. The notion of IOSS is a natural generalization of the standard zero-detectability property used in the linear case. The main contribution of this work is to establish a complete equivalence between the IOSS property and the existence of a certain type of smooth Lyapunov fu...

This paper introduces the extension of FiniteTime Stability (FTS) to the input-output case, namely the Input-Output FTS (IO-FTS). The main differences between classic IO stability and IO-FTS are that the latter involves signals defined over a finite time interval, does not necessarily require the inputs and outputs to belong to the same class of signals, and that quantitative bounds on both inp...