A stability inequality for nonlinear feedback systems with slope-restricted nonlinearity

DOI10.1109/TAC.1984.1103622zbMath0541.93058OpenAlexW2125930151MaRDI QIDQ3329332

Vimal Singh

Publication date: 1984

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.1984.1103622

zbMATH Keywords

frequency domainslope-restricted nonlinearityLyapunov's direct methodstability inequalitynonlinear feedback systems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Transformations (93B17) Stability of solutions to ordinary differential equations (34D20)

Related Items (14)

Absolute stability of feedback systems with several differentiable non-linearities ⋮ An improved absolute stability criterion for time-delay Lur'e systems and its frequency domain interpretation ⋮ Observer-based output feedback control of discrete-time Luré systems with sector-bounded slope-restricted nonlinearities ⋮ Improved asymptotic stability analysis for Lur'e systems with sector and slope restricted nonlinearities ⋮ LMI approach to stability of a class of discrete-time systems using two's complement arithmetic ⋮ Novel criterion for stability of discrete-time systems in a state-space realization utilizing saturation nonlinearities ⋮ Robust static and fixed-order dynamic output feedback control of discrete-time parametric uncertain Luré systems: Sequential SDP relaxation approaches ⋮ Delay-independent absolute stability for time-delay Lur'e systems with sector and slope restricted nonlinearities ⋮ Delay-dependent criteria for absolute stability of uncertain time-delayed Lur'e dynamical systems ⋮ Robust stabilization of discrete-time nonlinear Lur'e systems with sector and slope restricted nonlinearities ⋮ On absolute (robust) stability: slope restrictions andstability multipliers ⋮ Augmented Lyapunov function approach to \({\mathcal L}_2\) gain analysis for discrete-time systems with saturation nonlinearities ⋮ Improved delay-dependent stability criteria for uncertain Lur'e systems with sector and slope restricted nonlinearities and time-varying delays ⋮ Absolute stability analysis for negative-imaginary systems

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