Liu, Yang; Zhao, Shouwei Controllability analysis of linear time-varying systems with multiple time delays and impulsive effects. (English) Zbl 1238.93016 Nonlinear Anal., Real World Appl. 13, No. 2, 558-568 (2012). Summary: The issue of controllability for linear time-varying systems with multiple time delays in the control and impulsive effects is addressed. The solution of such systems based on the variation of parameters is derived. Several sufficient and necessary algebraic conditions for two kinds of controllability, i.e., controllability to the origin and controllability, are derived. The relation among these conditions are established. A numerical example is provided to illustrate the effectiveness of the proposed methods. Cited in 8 Documents MSC: 93B05 Controllability 93C23 Control/observation systems governed by functional-differential equations 34K45 Functional-differential equations with impulses Keywords:time-varying impulsive system; time delay; controllability PDFBibTeX XMLCite \textit{Y. Liu} and \textit{S. Zhao}, Nonlinear Anal., Real World Appl. 13, No. 2, 558--568 (2012; Zbl 1238.93016) Full Text: DOI References: [1] Li, Z. G.; Wen, C. Y.; Soh, Y. C., Analysis and design of impulsive control systems, IEEE Trans. Automat. Control, 46, 894-899 (2001) · Zbl 1001.93068 [2] Liu, Y.; Zhao, S. W., A new approach to practical stability of impulsive functional differential equations in terms of two measures, J. Comput. Appl. Math., 223, 449-458 (2009) · Zbl 1162.34065 [3] Leela, S.; McRae, F. A.; Sivasundaram, S., Controllability of impulsive differential equations, J. Math. Anal. Appl., 177, 24-30 (1993) · Zbl 0785.93016 [4] Sakthivel, R.; Anandhi, E. 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