Qualitative Analysis of Set-Valued Differential Equations

• Main Author: Martynyuk, Anatoly A. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Edition: 1st ed. 2019.
• Subjects: Differential equations.; System theory.; Ordinary Differential Equations.; Systems Theory, Control.

The book discusses set-valued differential equations defined in terms of the Hukuhara derivative. Focusing on equations with uncertainty, i.e., including an unknown parameter, it introduces a regularlization method to handle them. The main tools for qualitative analysis are the principle of comparis...

Table of Contents:

• General Properties of Set Equations
• Analysis of the Set of Continuous Equations
• Stability of the Set of Discrete-Time Systems
• Qualitative Analysis of Set Impulsive Equations
• Stability of Set Systems with Aftereffect
• Analysis of Set Impulsive Systems with Aftereffect
• Stability of Set Equations with Causal Operator
• Finite-Time Stability of Standard Systems Sets.