Finite time stability conditions for non-autonomous continuous systems

By Emmanuel Moulay, Wilfrid Perruquetti. International Journal of Control, 2008

296 citations recorded by the source corpus.

Finite time stability is defined for continuous non-autonomous systems. Starting with a result from Haimo (1986) we then extend this result to n-dimensional non-autonomous systems through the use of smooth and non-smooth Lyapunov functions as in Perruquetti and Drakunov (2000). One obtains two different sufficient conditions and a necessary one for finite time stability of continuous non-autonomous systems.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/2846c7567f3e905cfca6de72d7888e3a9c3eb833

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In Control and Systems Engineering

Citations in the corpus

A Lyapunov-Like Characterization of Predefined-Time Stability (2019, background): “nstraints in order to comply with a certain quality or safety standards. To deal with these requirements, several developments concerning the ﬁnite-time stability concept have been carried out in [1]–[5]. Nevertheless, the ﬁnite settling time provided by ﬁnite-time convergent algorithms is usually a”
Finite-time stability and instability of stochastic nonlinear systems (2011, background): “…and developed for various types of nonlinear systems over the last two decades (see, Hong, Huang, & Yu, 2001; Hong, Wang, & Cheng, 2006; Huang, Lin, & Yang, 2005; Jiang & Mareels, 1997; Moulay & Perruquetti, 2006, 2008; Wu, Yu, & Man, 1998; Yu & Man, 2002; Yu, Yu, Shirinzadeh, & Man, 2005).”