Relaxed ISS Small-Gain Theorems for Discrete-Time Systems
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Publication:2796101
DOI10.1137/14097286XzbMath1337.93054arXiv1406.3224OpenAlexW2963923230MaRDI QIDQ2796101
Roman Geiselhart, Fabian R. Wirth
Publication date: 23 March 2016
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.3224
input-to-state stabilitydiscrete-time nonlinear systemsLyapunov methodslarge-scale interconnectionssmall-gain conditions
Discrete-time control/observation systems (93C55) Stability of control systems (93D99) Stability theory for difference equations (39A30)
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A relaxed small-gain theorem for discrete-time infinite networks, New approach for stability analysis of interconnected nonlinear discrete-time systems based on vector norms, Equivalent types of ISS Lyapunov functions for discontinuous discrete-time systems, Control of discrete-time nonlinear systems via finite-step control Lyapunov functions, Computation of non-monotonic Lyapunov functions for continuous-time systems, Input-to-state stability of continuous-time systems via finite-time Lyapunov functions
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