Input-to-State Stability, Integral Input-to-State Stability, and <inline-formula> <tex-math notation="LaTeX">${\cal L}_{2} $</tex-math></inline-formula>-Gain Properties: Qualitative Equivalences and Interconnected Systems
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Publication:2980696
DOI10.1109/TAC.2015.2418671zbMath1359.93428arXiv1405.0134OpenAlexW2963483150MaRDI QIDQ2980696
Peter M. Dower, Christopher M. Kellett
Publication date: 3 May 2017
Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.0134
Related Items (7)
Robust I\&I adaptive tracking control of systems with nonlinear parameterization: an ISS perspective ⋮ The exponential input-to-state stability property: characterisations and feedback connections ⋮ Noncoercive Lyapunov Functions for Input-to-State Stability of Infinite-Dimensional Systems ⋮ On event-triggered control for integral input-to-state stable systems ⋮ Existence of non-coercive Lyapunov functions is equivalent to integral uniform global asymptotic stability ⋮ Qualitative equivalences of ISS and \(l_p\)-gain stability properties for discrete-time nonlinear systems ⋮ Converse theorems in Lyapunov’s second method and applications for fractional order systems
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