A survey of some classical and modern developments of stability theory

DOI10.1016/S0362-546X(00)85027-0zbMath0956.34040OpenAlexW1977653944MaRDI QIDQ1570945

Anatoly Martynyuk

Publication date: 26 February 2001

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(00)85027-0

zbMATH Keywords

comparison principleLyapunov stabilitylimiting equationintegral inequalityLyapunov matrix functionsnonclassical stability

Mathematics Subject Classification ID

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

Related Items (2)

40 years of the direct matrix-valued Lyapunov function method (review) ⋮ Elements of the theory of stability of hybrid systems (review)

Cites Work

• Large scale systems stability under structural and singular perturbations
• Some considerations to the fundamental theory of infinite delay equations
• On the stability of motion in linear approximation
• Inequalities for differential and integral equations
• Investigation of stability of large-scale systems on the basis of Lyapunov's matrix functions
• A generalization of a lemma of bellman and its application to uniqueness problems of differential equations
• Stability analysis of large-scale systems with stable and unstable subsystems
• $L_2 $-Stability and -Instability of Large-Scale Systems Described by Integrodifferential Equations
• Method of decomposing large-scale systems in a study of stability of motion
• Vector Lyapunov Functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A survey of some classical and modern developments of stability theory