Dynamics and control of initialized fractional-order systems

Nonlinear Dynamics

Volumn 29, Issue 1-4, 2002, Pages 201-233

  Hartley, Tom T ^a   Lorenzo, Carl F ^b  

^a The University of Akron   (United States)

^b NASA GLENN RESEARCH CENTER   (United States)

Author keywords

Control systems; Fractional calculus; Fractional order systems; Order distributions

Indexed keywords

CONTROL SYSTEM ANALYSIS; FREQUENCY RESPONSE; SYSTEM STABILITY; TRANSFER FUNCTIONS; VECTORS;

FRACTIONAL-ORDER SYSTEMS;

CONTROL THEORY;

EID: 0036650827     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1016534921583     Document Type: Article

References (44)

1. Fractional order state equations for the control of viscoelastic structures
2. Application of fractional calculus to the theory of viscoelasticity
3. Polynomial operators, Stieltjes convolution, and fractional calculus in hereditary mechanics
4. Stability of viscoelastic control systems
5. An analog simulation of non-integer order transfer functions for analysis of electrode processes
6. Application of positive reality principle to metal electrode linear polarization phenomena
7. Linear approximation of transfer function with a pole of fractional order
8. Some noises with 1/f spectrum, a bridge between direct current and white noise
9. Chaos in a fractional order Chua system
10. Diophantine type fractional derivative representation of structural dynamics, Part I: Formulation
11. Initialized fractional calculus
12. μ controllers
13. Variable order and distributed order fractional operators
14. Fractional integral operators and Fox functions in the theory of viscoelasticity
15. Stability properties for generalized fractional differential systems
16. State space representation for fractional order controllers
17. Observer based controllers for fractional differential equations
18. On a general model for damping