On partial S-controllability of semilinear partially observable systems

References

• Balachandran, K., & Dauer, J. (1987). Controllability of perturbed nonlinear delay systems. IEEE Transactions on Automatic Control, 32, 172–174.
   Web of Science ®Google Scholar
• Balachandran, K., & Dauer, J. (1998). Local controllability of semilinear evolution systems in Banach spaces. Indian Journal of Pure and Applied Mathematics, 29, 311–320.
   Web of Science ®Google Scholar
• Balachandran, K., & Dauer, J. (2002). Controllability of nonlinear systems in Banach spaces: A survey. Journal of Optimization Theory and Applications, 115, 7–28.
   Web of Science ®Google Scholar
• Balachandran, K., Dauer, J., & Sangeetha, S. (2003). Controllability of nonlinear evolution delay integrodifferential systems. Applied Mathematics and Computation, 139, 63–84.
   Web of Science ®Google Scholar
• Bárcenas, D., Leiva, H., & Sívoli, Z. (2005). A broad class of evolution equations are approximately controllable, but never exactly controllable. IMA Journal of Mathematical Control and Information, 22, 310–320.
   Web of Science ®Google Scholar
• Bashirov, A.E. (1996). On weakening of the controllability concepts. In Proceedings of the 35th Conference on Decision and Control (pp. 640–645). Kobe, IEEE.
   Google Scholar
• Bashirov, A.E. (2003). Partially observable linear systems under dependent noises. Systems & Control: Foundations & Applications. Basel: Birkhäuser.
   Google Scholar
• Bashirov, A.E., Etikan, H., & Şemi, N. (2010). Partial controllability of stochastic linear systems. International Journal of Control, 83, 2564–2572.
   Web of Science ®Google Scholar
• Bashirov, A.E., & Ghahramanlou, N. (2014). On partial approximate controllability of semilinear systems. Cogent Engineering, Systems & Control, 1:1–13. doi:10.1080/23311916.2014.965947
   Google Scholar
• Bashirov, A.E., & Jneid, M. (2013). On partial complete controllability of semilinear systems. Abstract and Applied Analysis, 1–8. doi:10.1155/2013/521052
   Web of Science ®Google Scholar
• Bashirov, A.E., & Jneid, M. (2014). Partial complete controllability of deterministic semilinear systems. TWMS Journal of Applied and Engineering Mathematics, 4, 216–225.
   Google Scholar
• Bashirov, A.E., & Kerimov, K.R. (1997). On controllability conception for stochastic systems. SIAM Journal of Control and Optimization, 35, 384–398.
   Web of Science ®Google Scholar
• Bashirov, A.E., & Mahmudov, N.I. (1999a). Controllability of linear deterministic and stochastic systems. In Proceedings of the 38th Conference on Decision and Control (pp. 3196–3201). Phoenix, AZ: IEEE.
   Google Scholar
• Bashirov, A.E., & Mahmudov, N.I. (1999b). On concepts of controllability for deterministic and stochastic systems. SIAM Journal of Control and Optimization, 37, 1808–1821.
   Web of Science ®Google Scholar
• Bashirov, A.E., & Mahmudov, N.I. (1999c). Some new results in theory of controllability. In Proceedings of the 7th Mediterranean Conference on Control and Automation (pp. 323–343). Haifa, Israel.
   Google Scholar
• Bashirov, A.E., Mahmudov, N.I., Şemi, N., & Etikan, H. (2007). Partial controllability concepts. International Journal of Control, 80, 1–7.
   Web of Science ®Google Scholar
• Bashirov, A.E., & Uǧural, S. (2002a). Analyzing wide band noise processes with application to control and filtering. IEEE Transactions on Automatic Control, 47, 323–327.
   Web of Science ®Google Scholar
• Bashirov, A.E., & Uǧural, S. (2002b). Representation of systems disturbed by wide band noises. Applied Mathematics Letters, 15, 607–613.
   Web of Science ®Google Scholar
• Bensoussan, A. (1992). Stochastic control of partially observable systems. London: Cambridge University Press.
   Google Scholar
• Bensoussan, A., Da Prato, G., Delfour, M.C., & Mitter, S.K. (1993). Representation and control of infinite dimensional systems, Volume 2. Systems & Control: Foundations & Applications. Boston: Birkhäuser.
   Google Scholar
• Chukwu, E.N. (1991). Nonlinear delay systems controllability. Journal of Mathematical Analysis and Applications, 162, 564–576.
   Web of Science ®Google Scholar
• Curtain, R.F., & Zwart, H.J. (1995). An introduction to infinite dimensional linear systems theory. Berlin: Springer-Verlag.
   Google Scholar
• Dacka, C. (1981). On controllability of nonlinear systems with time-variable delays. IEEE Transactions on Automatic Control, 26, 956–959.
   Web of Science ®Google Scholar
• Da Prato, G, & Zabczyk, J. (1992). Stochastic equations in infinite dimensions. Encyclopedia of Mathematics and Its Applications. Cambridge: Cambridge University Press.
   Google Scholar
• Do, V.N. (1990). Controllability of semilinear systems. Journal of Optimization Theory and Applications, 65, 41–52.
   Web of Science ®Google Scholar
• Fattorini, H.O. (1967). Some remarks on complete controllability. SIAM Journal of Control, 4, 686–694.
   Google Scholar
• Fleming, W.M., & Rishel, R.W. (1975). Deterministic and stochastic optimal control. New York, NY: Springer-Verlag.
   Google Scholar
• Kalman, R.E. (1960). A new approach to linear filtering and prediction problems. Transactions of ASME. Series D, Journal of Basic Engineering, 82, 35–45.
   Google Scholar
• Klamka, J. (1991). Controllability of dynamical systems. Dordrecht: Kluwer Academic.
   Google Scholar
• Klamka, J. (2000). Shauder's fixed point theorem in nonlinear controllability problems. Control Cybernetics, 29, 153–165.
   Web of Science ®Google Scholar
• Klamka, J. (2002). Constrained exact controllability of semilinear systems. Systems and Control Letters, 4, 139–147.
   Web of Science ®Google Scholar
• Leiva, H., Merentes, N., & Sanchez, J.L. (2012). Approximate controllability of semilinear reaction diffusion. Mathematical Control and Related Fields, 2, 171–182.
   Google Scholar
• Leiva, H., Merentes, N., & Sanchez, J.L. (2013). A characterization of semi linear dense range operators and applications. Abstract Analysis and Applications, 1–11. doi:10.1155/2013/729093.
   Google Scholar
• Leiva, H., Merentes, N., & Sanchez, J.L. (2011). Interior controllability of the n-dimentional semilinear heat equation. African Diaspora Journal of Mathematics, 12, 1–12.
   Google Scholar
• Mahmudov, N.I. (2003). Approximate controllability of semilinear deterministic and stochastic evolution systems in abstract spaces. SIAM Journal of Control and Optimization, 42, 1604–1622.
   Web of Science ®Google Scholar
• Mahmudov, N.I., & Denker, A. (2000). On controllability of linear stochastic systems. International Journal of Control, 73, 152–158.
   Web of Science ®Google Scholar
• Ren, Y., Dal, H., & Sakthivel, R. (2013). Approximate controllability of differential system driven by Lévy process. International Journal of Control, 86, 1158–1164.
   Web of Science ®Google Scholar
• Ren, Y., Hu, L., & Sakthivel, R. (2011). Controllability of impulsive neutral stochastic functional differential inclusions with infinite delay. Journal of Computational and Applied Mathematics, 235, 2603–2614.
   Web of Science ®Google Scholar
• Russel, D.L. (1967). Nonharmonic Fourier series in the control theory of distributed parameter systems. Journal of Mathematical Analysis and Applications, 18, 542–560.
   Web of Science ®Google Scholar
• Sakthivel, R., Ganesh, R., & Suganya, S. (2012). Approximate controllability of fractional neutral stochastic system with infinite delay. Reports on Mathematical Physics, 70, 291–311.
   Web of Science ®Google Scholar
• Sakthivel, R., Suganya, S., & Antoni, S.M. (2012). Approximate controllability of fractional stochastic evolution equations. Computers and Mathematics with Applications, 63, 660–668.
   Web of Science ®Google Scholar
• Sinha, A.S.C. (1985). Null controllability of nonlinear infinite delay systems with restrained controls. International Journal of Control, 42, 735–741.
   Web of Science ®Google Scholar
• Sukavanam, N., & Kumar, M. (2010). S-controllability of an abstract first order semilinear control systems. Numerical Functional Analysis and Optimization, 31, 1023–1034.
   Web of Science ®Google Scholar
• Sunahara, Y., Kabeuchi, T., Asada, S., Aihara, S., & Kishino, K. (1974). On stochastic controllability for nonlinear systems. IEEE Transactions on Automatic Control, 19, 49–54.
   Web of Science ®Google Scholar
• Vidyasagar, M. (1972). A controllability condition of nonlinear systems. IEEE Transactions on Automatic Control, 17, 569–570.
   Web of Science ®Google Scholar
• Zabczyk, J. (1995). Mathematical control theory: An introduction. Berlin: Birkhäuser.
   Google Scholar