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- W2967346707 abstract "This paper studies an input-to-state stability (ISS) property for nonlinear control system with impulses at fixed moments. We propose a novel Lyapunov-based theorem ensuring the ISS that is less restrictive compared to the existing results in the literature. Sufficient conditions for ISS are formulated in terms of a non-exponential candidate ISS-Lyapunov function with nonlinear rates equipped with an average-type dwell-time condition. The benefits of the proposed approach are discussed and illustrated on an example. To the best of authors' knowledge, this is the first result that combines the advantages of nonlinear rates of the corresponding ISS-Lyapunov function and an average dwell-time for the ISS analysis of impulsive systems. The proposed technique of the proof, together with a new dwell-time condition, enables relaxing the existing sufficient conditions for the ISS for different classes of impulsive control systems (e.g. stochastic, infinite-dimensional) that employ a fixed dwell-time." @default.
- W2967346707 created "2019-08-22" @default.
- W2967346707 creator A5041425528 @default.
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- W2967346707 date "2019-06-01" @default.
- W2967346707 modified "2023-10-13" @default.
- W2967346707 title "Average dwell-time for impulsive control systems possessing ISS-Lyapunov function with nonlinear rates" @default.
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- W2967346707 doi "https://doi.org/10.23919/ecc.2019.8796238" @default.
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