Stochastic controllability and minimum energy control of systems with multiple delays in control

Applied Mathematics and Computation

Volumn 206, Issue 2, 2008, Pages 704-715

  Klamka, Jerzy ^a  

^a SILESIAN UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Controllability; Delayed controls; Linear control systems; Minimum energy control; Stochastic control systems

Indexed keywords

CONTROL SYSTEM ANALYSIS; CONTROL THEORY; CONTROLLABILITY; DYNAMICAL SYSTEMS; LINEAR CONTROL SYSTEMS; LINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; POWER CONTROL; SCHRODINGER EQUATION; STOCHASTIC CONTROL SYSTEMS; UNCERTAIN SYSTEMS;

ANALYTICAL FORMULAS; APPROXIMATE CONTROLLABILITIES; CONTROLLABILITY PROBLEMS; DELAYED CONTROLS; DYNAMICAL CONTROL SYSTEMS; EXACT CONTROLLABILITIES; IN CONTROLS; LINEAR DYNAMICAL SYSTEMS; MINIMUM ENERGY CONTROL; MINIMUM ENERGY CONTROLS; MULTIPLE DELAYS; MULTIPLE POINT DELAYS; NECESSARY AND SUFFICIENT CONDITIONS; RELATIVE CONTROLLABILITIES; SINGLE POINTS; STATE EQUATIONS; STOCHASTIC DYNAMICAL SYSTEMS; TIME INTERVALS;

CONTROL SYSTEMS;

EID: 56949084321     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2008.08.059     Document Type: Article

References (24)

1. Arapostathis A., George R.K., and Ghosh M.K. On the controllability of a class of nonlinear stochastic systems. Systems and Control Letters 44 1 (2001) 25-34
2. Balasubramaniam P., and Dauer J.P. Controllability of semilinear stochastic evolution equations in Hilbert spaces. Journal on Applied Mathematics and Stochastic Analysis 14 4 (2001) 329-339
3. Bashirov A.E., and Kerimov K.R. On controllability conception for stochastic systems. SIAM Journal on Control and Optimization 35 (1997) 348-398
4. Bashirov A.E., and Mahmudov N.I. On concepts of controllability for deterministic and stochastic systems. SIAM Journal on Control and Optimization 37 (1999) 1808-1821
5. Ehrhard M., and Kliemann W. Controllability of stochastic linear systems. Systems and Control Letters 2 (1982) 145-153
6. Klamka J. Stochastic controllability of linear systems with delay in control. Bulletin of the Polish Academy of Sciences. Technical Sciences 55 1 (2007) 23-29
7. Klamka J. Stochastic controllability of linear systems with state delays. International Journal of Applied Mathematics and Computer Science 17 1 (2007) 5-13
8. Klamka J. Controllability of Dynamical Systems. Mathematics and Its Applications vol. 48 (1991), Kluwer Academic Publishers, Dordrecht, The Netherlands
9. Klamka J. Controllability of dynamical systems - a survey. Archives of Control Sciences 2 3/4 (1993) 281-307
10. Klamka J. Constrained controllability of nonlinear systems. Journal of Mathematical Analysis and Applications 201 2 (1996) 365-374
11. Klamka J. Schauder's fixed point theorem in nonlinear controllability problems. Control and Cybernetics 29 3 (2000) 377-393
12. Klamka J., and Socha L. Some remarks about stochastic controllability. IEEE Transactions on Automatic Control AC-22 (1977) 880-881
13. Klamka J., and Socha L. Some remarks about stochastic controllability for delayed linear systems. International Journal of Control 32 (1980) 561-566
14. Mahmudov N.I. Controllability of linear stochastic systems. IEEE Transactions on Automatic Control AC-46 (2001) 724-731
15. Mahmudov N.I. Controllability of linear stochastic systems in Hilbert spaces. Journal of Mathematical Analysis and Applications 259 1 (2001) 64-82
16. Mahmudov N.I. On controllability of semilinear stochastic systems in Hilbert spaces. IMA Journal of Mathematical Control and Information 19 (2002) 363-376
17. Mahmudov N.I. Controllability and observability of linear stochastic systems in Hilbert spaces. Progress in Probability 53 (2003) 151-167
18. Mahmudov N.I. Approximate controllability of semilinear deterministic and stochastic evolution equations in abstract spaces. SIAM Journal on Control and Optimization 42 5 (2003) 1604-1622
19. Mahmudov N.I., and Denker A. On controllability of linear stochastic systems. International Journal of Control 73 2 (2000) 144-151
20. Mahmudov N.I., and Zorlu S. Controllability of nonlinear stochastic systems. International Journal of Control 76 2 (2003) 95-104
21. Subramaniam R., and Balachandran K. Controllability of stochastic Volterra integrodifferential systems. Korean Journal on Computing and Applied Mathematics 9 2 (2002) 583-589
22. Sunahara Y., Kabeuchi T., Asada S., Aihara S., and Kishino K. On stochastic controllability for nonlinear systems. IEEE Transactions on Automatic Control AC-19 1 (1974) 49-54
23. Sunahara Y., Aihara S., and Kishino K. On the stochastic observability and controllability for nonlinear systems. International Journal of Control 22 1 (1975) 65-82
24. Zabczyk J. Controllability of stochastic linear systems. Systems and Control Letters 1 1 (1991) 25-31