Necessary and sufficient conditions for the existence of a Lyapunov function with ‘a quadratic form plus an integral term’

DOI10.1080/00207179608921651zbMath0855.93062OpenAlexW2092910404MaRDI QIDQ4890798

Kaiqi Xiong

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

zbMATH Keywords

stabilityabsolute stabilityneural networksLyapunov-\(S\)-procedurePopov inequality

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• 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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