Optimal control of discrete-time linear fractional-order systems with multiplicative noise
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Publication:4568012
DOI10.1080/00207179.2016.1266520zbMath1390.93872arXiv1605.04110OpenAlexW2962903559MaRDI QIDQ4568012
Viorica Mariela Ungureanu, Juan J. Trujillo
Publication date: 20 June 2018
Published in: International Journal of Control (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.04110
Discrete-time control/observation systems (93C55) Dynamic programming (90C39) Transformations (93B17) Optimal stochastic control (93E20) Linear-quadratic optimal control problems (49N10)
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Cites Work
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- Stabilization and control of fractional order systems: a sliding mode approach
- Indefinite quadratic with linear costs optimal control of Markov jump with multiplicative noise systems
- LMI stability conditions for fractional order systems
- An approximate method for numerically solving fractional order optimal control problems of general form
- Fractional-order systems and controls. Fundamentals and applications
- Discrete-time indefinite LQ control with state and control dependent noises
- Advances in the theory and applications of non-integer order systems. 5th conference on non-integer order calculus and its applications, Cracow, Poland, July 4--5, 2013
- New method for optimal nonlinear filtering of noisy observations by multiple stochastic fractional integral expansions
- A general formulation and solution scheme for fractional optimal control problems
- Fractional linear control systems with Caputo derivative and their optimization
- Global solutions of a class of discrete-time backward nonlinear equations on ordered Banach spaces with applications to Riccati equations of stochastic control
- Stability, stabilizability and detectability for Markov jump discrete-time linear systems with multiplicative noise in Hilbert spaces
- A Fractional Adaptation Scheme for Lateral Control of an AGV
- A New Approach to Generalized Fractional Derivatives
- A review and evaluation of numerical tools for fractional calculus and fractional order controls
- Stability of discrete-time positive evolution operators on ordered Banach spaces and applications
- Mathematical Methods in Robust Control of Linear Stochastic Systems
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