In this paper we consider the class of polynomial systems and we investigate on their finite-time stability properties. In this analysis, for the first time, finite-time stability is defined with respect to domains with polynomial bounds. A sufficient condition for finite-time stability is obtained, which can be solved recasting the feasibility problem in terms of SDP through SOS programming. Moreover, a nonlinear statefeedback control law is developed to stabilize the system in the finite-time notion. The effectiveness of the stabilizing control law is shown by a numerical example.
Finite-Time Stability and Stabilization of Polynomial Systems / Tartaglione, G.; Ariola, M.; Amato, F.. - (2023), pp. 1371-1376. ( 2023 American Control Conference San Diego (CA) 31 maggio - 2 giugno 2023).
Finite-Time Stability and Stabilization of Polynomial Systems
F. Amato
2023
Abstract
In this paper we consider the class of polynomial systems and we investigate on their finite-time stability properties. In this analysis, for the first time, finite-time stability is defined with respect to domains with polynomial bounds. A sufficient condition for finite-time stability is obtained, which can be solved recasting the feasibility problem in terms of SDP through SOS programming. Moreover, a nonlinear statefeedback control law is developed to stabilize the system in the finite-time notion. The effectiveness of the stabilizing control law is shown by a numerical example.| File | Dimensione | Formato | |
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