Pontryagin's maximum principle for the Roesser model with a fractional Caputo derivative

Numerical methods based on necessary conditions (49M05) Fractional derivatives and integrals (26A33) Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving ordinary differential equations (49K15)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
On nonlinear neutral fractional integrodifferential inclusions with infinite delay
Existence of optimal solutions to Lagrange problems for Roesser type systems of the first and fractional orders
Necessary optimality conditions for singular control in one system with distributed parameters
Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation
Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
Nonlocal boundary value problems for hyperbolic equations with a Caputo fractional derivative
Fractional dynamical systems: methods, algorithms and applications
Optimization of higher-order differential inclusions with special boundary value conditions
Optimality conditions of singular controls for systems with Caputo fractional derivatives
Direct transcription methods based on fractional integral approximation formulas for solving nonlinear fractional optimal control problems
Initial-value / nonlocal Cauchy problems for fractional differential equations involving \(\psi\)-Hilfer multivariable operators
Global attractivity for some classes of Riemann-Liouville fractional differential systems
A general formulation and solution scheme for fractional optimal control problems
Dislocation dynamics in crystals: a macroscopic theory in a fractional Laplace setting
Optimal control of higher-order retarded differential inclusions
Fractional linear control systems with Caputo derivative and their optimization
Pontryagin maximum principle for fractional ordinary optimal control problems
Applied Control Systems Design
Necessary and sufficient optimality conditions for fractional nonhomogeneous Roesser model
Bang–bang principle for linear and non-linear Goursat–Darboux problems
On controllability of fractional positive continuous-time linear systems with delay
Admissibility tests for multidimensional singular fractional continuous-time models
Pontryagin maximum principle for general Caputo fractional optimal control problems with Bolza cost and terminal constraints
On LQ optimization problem subject to fractional order irregular singular systems
On fractional order derivatives and Darboux problem for implicit differential equations
High Order Necessary Conditions for Optimality
The random walk's guide to anomalous diffusion: A fractional dynamics approach
Some necessary optimality conditions for systems with fractional Caputo derivatives
Practical Mittag-Leffler stability of quasi-one-sided Lipschitz fractional order systems
Necessary optimality conditions for singular controls
Necessary optimality conditions for quasi-singular controls for systems with Caputo fractional derivatives
Necessary and sufficient optimality conditions for fractional Fornasini-Marchesini model

This page was built for publication: Pontryagin's maximum principle for the Roesser model with a fractional Caputo derivative