On practical stability of differential inclusions using Lyapunov functions

DOI10.3934/DCDSB.2017116zbMath1359.34026OpenAlexW2598322998MaRDI QIDQ520951

Volodymyr Pichkur

Publication date: 6 April 2017

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2017116

zbMATH Keywords

Lyapunov functionstabilizationdifferential inclusionpractical stabilityset-valued analysis

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Stability of solutions to ordinary differential equations (34D20) Stabilization of solutions to ordinary differential equations (34H15)

Related Items (3)

Maximum Sets of Initial Conditions in Practical Stability and Stabilization of Differential Inclusions ⋮ Practical Stability of Discrete Systems: Maximum Sets of Initial Conditions Concept ⋮ Approximate Feedback Control for Hyperbolic Boundary-Value Problem with Rapidly Oscillating Coefficients in the Case of Non-convex Objective Functional

Cites Work

• Maximum set of initial conditions for the problem of weak practical stability of a discrete inclusion
• Stability and optimality of solutions to differential inclusions via averaging method
• Stability by Liapunov's direct method. With applications
• Stability-like properties of differential inclusions
• On stability and boundedness for Lipschitzian differential inclusions: The converse of Lyapunov's theorems
• Uniform global asymptotic stability of differential inclusions
• On certain questions related to the problem of the stability of unsteady motion
• Liapunov functions and stability in control theory
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