Causal state feedback representation for linear quadratic optimal control problems of singular Volterra integral equations
DOI10.3934/MCRF.2022038zbMath1525.45001arXiv2109.07720OpenAlexW3199527242MaRDI QIDQ6051287
Ping Lin, Shuo Han, Jiong-min Yong
Publication date: 19 September 2023
Published in: Mathematical Control and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.07720
fractional differential equationsquadratic optimal controlsingular Volterra integral equationcausal state feedback representation
Optimal feedback synthesis (49N35) Feedback control (93B52) Fractional derivatives and integrals (26A33) Linear-quadratic optimal control problems (49N10) Fredholm integral equations (45B05) Volterra integral equations (45D05) Singular nonlinear integral equations (45G05) Fractional ordinary differential equations (34A08)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the existence of optimal solutions to fractional optimal control problems
- First- and second-order optimality conditions for optimal control problems of state constrained integral equations
- Fractional conservation laws in optimal control theory
- Two-person zero-sum linear quadratic stochastic differential games by a Hilbert space method
- Optimal processes governed by integral equations
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- On the optimal control of systems governed by nonlinear Volterra equations
- Necessary conditions for optimal terminal time control problems governed by a Volterra integral equation
- A new method for optimal control of Volterra integral equations
- A mathematical model on fractional Lotka-Volterra equations
- A reduction method for optimal control of Volterra integral equations
- A general formulation and solution scheme for fractional optimal control problems
- Pontryagin maximum principle for fractional ordinary optimal control problems
- On the Appearance of the Fractional Derivative in the Behavior of Real Materials
- A Formulation and Numerical Scheme for Fractional Optimal Control Problems
- Causal Feedback Optimal Control for Volterra Integral Equations
- Optimal Control with Integral State Equations
- Optimal control of a system governed by nonlinear Volterra integral equations with delay
- Stochastic Linear-Quadratic Optimal Control Theory: Differential Games and Mean-Field Problems
- Lack of Null-Controllability for the Fractional Heat Equation and Related Equations
- Dynamic Programming Principle and Hamilton--Jacobi--Bellman Equations for Fractional-Order Systems
- Controlled Singular Volterra Integral Equations and Pontryagin Maximum Principle
- Fractional Optimal Control Problems with Several State and Control Variables
- The Quadratic Regulator Problem and the Riccati Equation for a Process Governed by a Linear Volterra Integrodifferential Equations
- Comments on the Paper “Optimal Control of Processes Described by Integral Equations. I” by V. R. Vinokurov
This page was built for publication: Causal state feedback representation for linear quadratic optimal control problems of singular Volterra integral equations
