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Research Articles

Input distinguishability of linear dynamic control systems

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Pages 1100-1107 | Received 14 Jan 2019, Accepted 13 Sep 2019, Published online: 03 Nov 2019

References

  • Baglietto M, Battistelli G, Tesi P. Mode-observability degree in discrete-time switching linear systems. Syst Control Lett. 2014;70:69–76. doi: 10.1016/j.sysconle.2014.05.006
  • Baglietto M, Battistelli G, Tesi P. Distinguishability of discrete-time nonlinear systems. IEEE Trans Autom Control. 2014;59(4):1014–1020. doi: 10.1109/TAC.2013.2283132
  • Lou H. Necessary and sufficient conditions for distinguishability of linear control systems. Acta Math Appl Sin. 2014;30(2):473–482. doi: 10.1007/s10255-014-0283-1
  • Lou H, Si P. The distinguishability of linear control systems. Nonlinear Anal: Hybrid Syst. 2009;3:21–38.
  • Zada A, Zada B. On uniform exponential stability of linear switching system. Math Methods Appl Sci. 2019;42(2):717–722. doi: 10.1002/mma.5373
  • Collins P, Van Schuppen JH. Observability of piecewise-affine hybrid systems. In: Hybrid systems: computation and control, lecture notes in computer science, 2993 (2004) 265–279.
  • Eisenbarth G, Davis JM, Gravagne IA. Singular value conditions for stability of dynamic switched systems. J Math Anal Appl 2017;452(2):814–829. doi: 10.1016/j.jmaa.2017.02.059
  • Guseinov GS. Integration on time scales. J Math Anal Appl. 2003;285:107–127. doi: 10.1016/S0022-247X(03)00361-5
  • Guseinov GS, Kaymakcalan B. Basics of Riemann delta and nabla integration on time scales. J Differ Equ Appl. 2002;8:1001–1017. doi: 10.1080/10236190290015272
  • Vidal R, Chiuso A, Soatto S, et al. Observability of linear hybrid systems. In: Hybrid systems: computation and control, lecture notes in computer science, 2623 (2003), 526–539.
  • Taousser FZ, Defoort M, Djemai M, et al. Stability analysis of a class of switched nonlinear systems using the time scale theory. Nonlinear Anal: Hybrid Syst. 2019;33:195–210.
  • Taousser FZ, Defoort M, Djemai M. Stability analysis of a class of switched linear systems on non-uniform time domains. Syst Control Lett. 2014;74:24–31. doi: 10.1016/j.sysconle.2014.09.012
  • Tunç C, Tunç O. A note on the qualitative analysis of Volterra integro-differential equations. J Taibah Univ Sci. 2019;13(1):490–496. doi: 10.1080/16583655.2019.1596629
  • Tunç C, Tunç O. On behaviours of functional Volterra integro-differential equations with multiple time lags. J Taibah Univ Sci. 2018;12(2):173–179. doi: 10.1080/16583655.2018.1451117
  • Bejarano FJ. Reconstructability of controlled switched linear systems: discrete and continuous states. Int J Dyn Control. 2018;6(3):1218–1230. doi: 10.1007/s40435-016-0284-4
  • Bohner M, Peterson A. Advanced in dynamic equations on time scale. Boston: Birkhauser; 2003.
  • Bohner M, Peterson A. Dynamic equations on time scale, an introduction with applications. Boston: Birkhauser; 2001.
  • Davis JM, Gravange IA, Marks RJ et al. Stability of switched linear systems on non-uniform time domains. In Proceedings of the 42nd South Eastern Symposium on System Theory, Tyler, TX, USA, March 7–8; 2010. p. 127–132.
  • Bohner M, Guseinov GS, Karpuz B. Properties of the Laplace transform on time scales with arbitrary graininess. Integral Transforms Spec Funct. 2011;22(11):785–800. doi: 10.1080/10652469.2010.548335
  • Zada A, Li T, Ismail S, et al. Exponential dichotomy of linear autonomous systems over the time scales. Differ Equ Appl. 2016;8(2):123–134.
  • Bohner M, Guseinov GS, Karpuz B. Further properties of the Laplace transform on time scales with arbitrary graininess. Integral Transforms Spec Funct. 2013;24(4):289–301. doi: 10.1080/10652469.2012.689300
  • Agarwal RP, Otero-Espinar V, Perera K, et al. Basic properties of Sobolev’s spaces on time scales. Adv Differ Equ. 2006; Art. ID 38121, 14 pp.