Novel development of Lyapunov stability of motion

DOI10.1080/00207177508922102zbMath0318.93025OpenAlexW2070941178MaRDI QIDQ4081076

Ljubomir T. Grujic

Publication date: 1975

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207177508922102

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) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (15)

The use of Lyapunov's second method to estimate regions of stability and attraction ⋮ Some properties of solutions of the semi-state model for nonlinear nonstationary systems ⋮ The Lyapunov matrix function and the stability of hybrid systems ⋮ Scalar comparison equations in the theory of the stability of motion ⋮ The Lyapunov matrix-function and stability of hybrid systems ⋮ Estimate of nonsteady motions on time-dependent sets ⋮ Exact determination of a Lyapunov function and the asymptotic stability domain ⋮ Time-varying continuous nonlinear systems: uniform asymptotic stability ⋮ Expansion of the space state of dynamic systems and the stability problem ⋮ Structurally variable control of time-varying Lurie systems ⋮ Novel lyapunov stability methodology for nonlinear systems: Complete solutions ⋮ Regions of local stability for non-autonomous discrete systems ⋮ Stability analysis of singular systems ⋮ Lotka-Volterra-like approach to large-scale systems stability ⋮ Forms of aggregation of nonlinear systems. Domains of asymptotic stability (review)

Cites Work

• Classification of stability-like concepts and their study using vector Lyapunov functions
• Stochastic stability and control
• Stabilities of Lyapunov and Poisson Types
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