Necessary and sufficient conditions for the existence of a Lyapunov function with ‘a quadratic form plus an integral term’
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Publication:4890798
DOI10.1080/00207179608921651zbMath0855.93062OpenAlexW2092910404MaRDI QIDQ4890798
Publication date: 30 October 1996
Published in: International Journal of Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207179608921651
Popov-type stability of feedback systems (93D10) Stability theory for ordinary differential equations (34D99)
Related Items (4)
The absolute stability for general discrete Lurie systems with superposition of multiple nonlinearities ⋮ Asymptotic hyperstability of a class of linear systems under impulsive controls subject to an integral Popovian constraint ⋮ On bounded strictly positive operators of closed range and some applications to asymptotic hyperstability of dynamic systems ⋮ Lyapunov function of general Lurie systems with multiple nonlinearities
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- Necessary and sufficient conditions for the existence of a \(G\)-type Lyapunov function
- Qualitative analysis of neural networks
- Necessary and sufficient condition for absolute stability of neural networks
- Proof of the circle criterion for state space systems via quadratic Lyapunov functions—Part 1
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