On the Existence of Optimal Controls for the Fractional Continuous-Time Cucker–Smale Model
From MaRDI portal
Publication:5236989
DOI10.1007/978-3-319-45474-0_21zbMath1428.49026OpenAlexW2509564682MaRDI QIDQ5236989
Agnieszka B. Malinowska, Tatiana Odzijewicz, Ewa Schmeidel
Publication date: 16 October 2019
Published in: Lecture Notes in Electrical Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-45474-0_21
Fractional derivatives and integrals (26A33) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15) Stability theory for difference equations (39A30)
Related Items
On the necessary optimality conditions for the fractional Cucker-Smale optimal control problem ⋮ Constrained controllability of fractional linear systems with delays in control ⋮ Optimal control of discrete-time fractional multi-agent systems ⋮ LMI-based stability analysis of fractional order systems of neutral type with time varying delays under actuator saturation ⋮ Non-invasive Control of the Fractional Hegselmann–Krause Type Model ⋮ Emergent dynamics of the fractional Cucker-Smale model under general network topologies
Cites Work
- Unnamed Item
- Unnamed Item
- On the existence of optimal solutions to fractional optimal control problems
- Sparse stabilization and optimal control of the Cucker-Smale model
- Fractional order optimal control problems with free terminal time
- Theoretical developments and applications of non-integer order systems. 7th conference on non-integer order calculus and its applications, Szczecin, Poland, August 28--29, 2015
- Selected problems of fractional systems theory.
- A simple model for biological aggregation with asymmetric sensing
- On the mathematics of emergence
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Observer-type consensus protocol for a class of fractional-order uncertain multiagent systems
- Macroscopic limit of self-driven particles with orientation interaction
- Pontryagin maximum principle for fractional ordinary optimal control problems
- Fractional Dynamics and Control
- Emergent Behavior in Flocks