Lyapunov function of general Lurie systems with multiple nonlinearities
From MaRDI portal
Publication:1861866
DOI10.1016/S0893-9659(02)00153-2zbMath1051.93081MaRDI QIDQ1861866
Publication date: 10 March 2003
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Popov-type stability of feedback systems (93D10)
Related Items (10)
Delay-dependent absolute stability of Lurie control systems with multiple time-delays ⋮ The absolute stability for general discrete Lurie systems with superposition of multiple nonlinearities ⋮ New absolute stability criteria for time-delay Lur'e systems with sector-bounded nonlinearity ⋮ Absolute stability and master-slave synchronization of systems with state-dependent nonlinearities ⋮ On absolute stability of Lur’e control systems with multiple non-linearities using linear matrix inequalities ⋮ Robust stability for delay Lur'e control systems with multiple nonlinearities ⋮ On absolute stability of Lur'e control systems with multiple non-linearities ⋮ Structurally variable control of Lurie systems ⋮ A state observer for the computational network model of neural populations ⋮ Delay-dependent absolute stability criterion for Lurie system with probabilistic interval time-varying delay
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical methods of construction of Lyapunov functions and absolute stability criteria in the form of numerical procedures
- On absolute stability and the Aizerman conjecture
- Necessary and sufficient conditions for the existence of a \(G\)-type Lyapunov function
- Necessary and sufficient conditions for the existence of Liapunov function of Lur'e form with \(\dot V\leq 0\)
- Lyapunov-like solutions for stability problems of the most general stationary Lurie-Postnikov systems
- Explicit construction of quadratic Lyapunov functions for the small gain, positivity, circle, and popov theorems and their application to robust stability. Part I: Continuous‐time theory
- Proof of the circle criterion for state space systems via quadratic Lyapunov functions—Part 1
- Proof of the circle criterion for state space systems via quadratic Lyapunov functions — Part 2
- Necessary and sufficient conditions for the existence of a Lyapunov function with ‘a quadratic form plus an integral term’
This page was built for publication: Lyapunov function of general Lurie systems with multiple nonlinearities
