Delay-independent stability conditions for a class of nonlinear difference systems |
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Authors: | A Yu Aleksandrov EB Aleksandrova |
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Institution: | 1. Saint Petersburg State University, 7–9 Universitetskaya nab., Saint Petersburg 199034, Russia;2. ITMO University, 49 Kronverksky Ave., Saint Petersburg 197101, Russia |
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Abstract: | The paper addresses the asymptotic stability problem for a class of difference systems with nonlinearities of a sector type and time-delay. A new approach to Lyapunov–Krasovskii functionals constructing for considered systems is proposed. On the basis of the approach, delay-independent asymptotic stability conditions and estimates of the convergence rate of solutions are derived. In addition, stability of perturbed systems is investigated in the case where nonstationary perturbations admit zero mean values. Some examples are given to illustrate the obtained results. |
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Keywords: | Corresponding author at: Saint Petersburg State University 7–9 Universitetskaya nab Saint Petersburg 199034 Russia |
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