Impulsive, Delay and Fractional Order Systems
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".
Deadline for manuscript submissions: closed (31 July 2023) | Viewed by 23707
Special Issue Editors
Interests: fractional differential equations and controls; impulsive differential equations; iterative learning control; delay systems and stability; nonlinear evolution equations; differential equations from geophysical fluid flows; periodic systems and controls; differential inclusions
Special Issues, Collections and Topics in MDPI journals
Interests: dynamical systems; fractional systems; functional analysis
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
This Special Issue is devoted to qualitative and stability theory and control problems for impulsive, delay and fractional order systems. Impulsive differential systems are a class of important dynamical systems, including evolutionary processes characterized by abrupt, sudden changes. Delay differential systems arise naturally in economics, physics and control problems. Fractional calculus has a history extending over 300 years. Systems with different fractional order derivatives are used to characterize certain evolution processes in viscoelasticity control and physics. In addition, delay and fractional order systems have distinctly different evolution properties from differential equations for impulsive problems; thus, specific control techniques for delay and fractional order systems using impulsive effects must be considered.
Topics for this Special Issue include the existence and stability of solutions, periodic solutions, controllability, iterative learning controls and so on for first order, second order, higher order, fractional order differential and difference systems, or delay differential and difference systems.
For this SI, we are inviting the submission of papers concerning the theory of differential equations with both ordinary, delay, impulsive and fractional derivatives, as well as their theoretical and practical applications.
Prof. Dr. Jinrong Wang
Prof. Dr. Michal Feckan
Guest Editors
Manuscript Submission Information
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Keywords
- existence
- exponential stability
- finite time stability
- Ulam’s type stability
- periodic solutions
- controllability
- iterative learning controls
- fractional order
- delay
- impulsive
- multi-agent systems
- quaternion-valued
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