Controllability of semilinear impulsive nonautonomous systems

References

• Balachandran, K., & Dauer, J.P. (1987). Controllability of perturbed nonlinear delay systems. IEEE Transactions on Automatic Control, AC-32, 172–174.
   Web of Science ®Google Scholar
• Balachandran, K., Dauer, J.P., & Sangeetha, S. (2003). Controllability of nonlinear evolution delay integrodifferential systems. Applied Mathematics and Computation, 139, 63–84.
   Web of Science ®Google Scholar
• Chukwu, E.N. (1979). Controllability of delay systems with restrained controls. Journal of Optimization Theory and Applications, 29, 301–320.
   Web of Science ®Google Scholar
• Chukwu, E.N. (1980). On the null-controllability of nonlinear delay systems with restrained controls. Journal of Mathematical Analysis and Applications, 76, 283–296.
   Web of Science ®Google Scholar
• Chukwu, E.N. (1984). Null controllability in function space of nonlinear retarded systems with limited control. Journal of Mathematical Analysis and Applications, 103, 198–210.
   Web of Science ®Google Scholar
• Chukwu, E.N. (1987). Global null controllability of nonlinear delay equations with controls in a compact set. Journal of Optimization Theory and Applications, 53, 43–57.
   Web of Science ®Google Scholar
• Chukwu, E.N. (1991). Nonlinear delay systems controllability. Journal of Mathematical Analysis and Applications, 162, 564–576.
   Web of Science ®Google Scholar
• Chukwu, E.N. (1992). Stability and time-optimal control of hereditary systems, Mathematics in science and engineering (Vol. 188). Boston, MA: Academic Press, Inc.
   Google Scholar
• Coron, J.-M. (2007). Control and nonlinearity. Mathematical surveys and monographs (Vol. 136). Providence, RI: American Mathematical Society.
   Google Scholar
• Curtain, R.F., & Pritchard, A.J. (1978). Infinite dimensional linear systems. Lecture notes in control and information sciences (Vol. 8). Berlin: Springer Verlag.
   Google Scholar
• Curtain, R.F., & Zwart, H.J. (1995). An introduction to infinite dimensional linear systems theory. Text in applied mathematics (Vol. 21). New York, NY: Springer Verlag.
   Google Scholar
• Dauer, J.P. (1976). Nonlinear perturbation of quasilinear control systems. Journal of Mathematical Analysis and Applications, 54(3), 717–725.
   Web of Science ®Google Scholar
• Do, V.N. (1990). Controllability of semilinear systems. Journal of Optimization Theory and Applications, 65(1), 41–52.
   Web of Science ®Google Scholar
• Isac, G. (2004). On Rothe’s fixed point theorem in general topological vector space. Analele Stiintifice ale Universitatii Ovidius Constanta, 12(2), 127–134.
   Google Scholar
• Iturriaga, E., & Leiva, H. (2010). A characterization of semilinear surjective operators and applications to control problems. Applied Mathematics, 1, 137–145.
   Google Scholar
• Lee, E.B., & Markus, L. (1967). Foundations of optimal control theory. New York, NY: Wiley.
   Google Scholar
• Leiva, H., Merentes, N., & Sanchez, J. (2013). Approximate controllability of a semilinear heat equation. International Journal of Partial Differential Equations, 2013, 424309.
   Google Scholar
• Lukes, D.L. (1972). Global controllability of nonlinear systems. SIAM Journal on Control and Optimization, 10(1), 112–126; Erratum 11 (1973), 1, 186.
   Web of Science ®Google Scholar
• Mirza, K.B., & Womack, B.F. (1972). On the controllability of nonlinear time-delay systems. IEEE Transactions on Automatic Control, 6, 812–814.
   Web of Science ®Google Scholar
• Nieto, J.J., & Tisdell, C. (2010). On exact controllability of first-order impulsive differential equations. Advances in Difference Equations, 2010, 136504.
   Google Scholar
• Selvi, S., & Mallika Arjunan, M. (2012). Controllability results for impulsive differential systems with finite delay. Journal of Nonlinear Science and Applications, 5, 206–219.
   Web of Science ®Google Scholar
• Sinha, A.S.C. (1985). Null-controllability of non-linear infinite delay systems with restrained controls. International Journal of Control, 42, 735–741.
   Web of Science ®Google Scholar
• Sinha, A.S.C., & Yokomoto, C.F. (1980). Null controllability of a nonlinear system with variable time delay. IEEE Transactions on Automatic Control, AC-25, 1234–1236.
   Web of Science ®Google Scholar
• Sontag, E.D. (1998). Mathematical control theory: Deterministic finite dimensional systems (2nd ed. ). New York, NY: Springer.
   Google Scholar
• Vidyasager, M. (1972). A controllability condition for nonlinear systems. IEEE Transactions on Automatic Control, AC-17(5), 569–570.
   Web of Science ®Google Scholar
• Zhu, Zhi-Qing, & Lin, Qing-Wen. (2012). Exact controllability of semilinear systems with impulses. Bulletin of Mathematical Analysis and Applications, 4(1), 157–167.
   Google Scholar