The absolute stability for general discrete Lurie systems with superposition of multiple nonlinearities
DOI10.1016/j.amc.2015.02.076zbMath1390.93614OpenAlexW2008932631MaRDI QIDQ1636871
Publication date: 7 June 2018
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2015.02.076
absolute stabilitydiscrete Gronwall inequalitygeneral discrete Lurie systemssuperposition of nonlinearities
Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Popov-type stability of feedback systems (93D10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stability of solutions to ordinary differential equations (34D20) Discrete version of topics in analysis (39A12)
Cites Work
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- Delay-dependent criteria for absolute stability of uncertain time-delayed Lur'e dynamical systems
- Delay-independent absolute stability for time-delay Lur'e systems with sector and slope restricted nonlinearities
- Vladimir Andreevich Yakubovich
- Essays on the absolute stability theory
- On absolute stability of discrete systems
- On absolute stability and the Aizerman conjecture
- Absolute stability of a control system with several nonlinear stationary elements in the case of an infinite sector
- Popov-type criterion for stability of nonlinear sampled-data systems
- Parameter-dependent Lyapunov functions and the discrete-time Popov criterion for robust analysis
- Lyapunov function of general Lurie systems with multiple nonlinearities
- Frequency criteria for the absolute stability of nonlinear sampled-data systems
- Absolute stability of a class of nonlinear automatic sampled data systems
- A brief look at the Tsypkin criterion: from analysis to design
- On the absolute stability of multivariable discrete-time nonlinear systems
- A multivariable extension of the Tsypkin criterion using a Lyapunov-function approach
- Necessary and sufficient conditions for the existence of a Lyapunov function with ‘a quadratic form plus an integral term’
- NOVEL ROBUST DELAY-DEPENDENT CRITERION FOR ABSOLUTE STABILITY OF LUR'E SYSTEMS OF NEUTRAL TYPE
- Absolute stability of general Lurie control systems with multi-nonlinear feedback terms
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