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- W4226021964 abstract "Finite-time stability involves dynamical systems whose trajectories converge to an equilibrium state in finite time. Sufficient conditions for finite-time stability have recently been developed in the literature for discrete-time dynamical systems. In this article, we build on these results to develop a framework for addressing the problem of optimal nonlinear analysis and feedback control for finite-time stability and finite-time stabilization for nonlinear discrete-time controlled dynamical systems. Finite-time stability of the closed-loop nonlinear system is guaranteed by means of a Lyapunov function that satisfies a difference inequality involving fractional powers and a minimum operator. This Lyapunov function can clearly be seen to be the solution to a difference equation that corresponds to a steady-state form of the Bellman equation, and hence, guaranteeing both finite-time stability and optimality. Finally, a numerical example is presented to demonstrate the efficacy of the proposed finite-time discrete stabilization framework." @default.
- W4226021964 created "2022-05-05" @default.
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- W4226021964 date "2023-03-01" @default.
- W4226021964 modified "2023-10-14" @default.
- W4226021964 title "Finite-Time Stabilization and Optimal Feedback Control for Nonlinear Discrete-Time Systems" @default.
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- W4226021964 doi "https://doi.org/10.1109/tac.2022.3151195" @default.
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