[1] D. Gizopoulos, Advances in electronic testing. Challenges and methodologies. (Springer, Dordrecht, 2006)
[2] P. Kabisatpathy, A. Barua and S. Sinha, Fault diagnosis of analog integrated circuits. (Springer, Dordrecht, 2005).
[3] Y. Sun (ed.), Test and diagnosis of analog mixed-signal and RF integrated circuits: the system on chip approach, (IET Digital Library, UK, 2008)
[4] D. Binu, B.S. Kariyappa, “A survey on fault diagnosis of analog circuits: Taxonomy and state of the art”, Int. J. Electron. Commun. (AEÜ), vol. 73, pp. 68-83, 2017. doi: 10.1016/j.aeue.2017.01.002.
[5] Z. Czaja, “Using a square-wave signal for fault diagnosis of analog parts of mixed-signal electronic embedded systems”, IEEE Trans. Instrum. Meas., vol. 57, pp. 1589-1595, 2008. doi: 10.1109/TIM.2008.925342
[6] H. Han, H. Wang, S. Tian, N. Zhang, “A new analog circuit fault diagnosis method based on improved Mahalanobis distance”, J. Electron. Test., vol. 29, pp. 95–102, 2013. https://doi.org/10.1007/s10836-012- 5342-z.
[7] Ch. Yang, S. Tian, B. Long, F. Chen, “Methods of handling the tolerance and test-point selection problem for analog-circuit fault diagnosis”, IEEE Trans. Instrum. Means., vol. 60, pp. 176-185, 2011. doi: 10.1109/TIM.2010.2050356
[8] Q.Z. Zhou, Y.L. Xie, X.F. Li, D.J. Bi, X. Xie, S.S. Xie, “Methodology and equipments for analog circuit parametric faults diagnosis based on matrix eigenvalues”, IEEE Trans. Appl. Superconductivity, vol. 24, pp. 1–6, 2014. https://doi.org/10.1109/TASC.2014.2340447.
[9] Y. Deng, Y. N. Liu, “Soft fault diagnosis in analog circuits based on bispectral models”, J. Electron. Test., vol. 33, pp. 543-557, 2017. https://doi.org/10.1007/s10836-017-5686-5.
[10] S. Djordjevic, M.T. Pesic, “A fault verification method based on the substitution theorem and voltage-current phase relationship”, J. Electron. Test., vol. 36, pp. 617-629, 2020. https://doi.org/10.1007/s10836-020- 05901-5.
[11] T. Gao, J. Yang, S. Jiang, “A novel incipient fault diagnosis method for analog circuits based on GMKL-SVM and wavelet fusion feature”. IEEE Trans. Instrum. Meas., vol. 70, 2021. https://doi.org/10.1109/TIM.2020.3024337.
[12] Y. Li, R. Zhang, Y. Guo, P. Huan, M. Zhang, “Nonlinear soft fault diagnosis of analog circuits based on RCCA-SVM”, IEEE Access., vol. 8, pp. 60951-60963, 2020. doi.org/10.1109/ACCESS.2020.2982246.
[13] M. Tadeusiewicz, S. Hałgas, “A new approach to multiple soft fault diagnosis of analog BJT and CMOS circuits”, IEEE Trans. Instrum. Meas., vol. 64, pp. 2688–2695, 2015. https://doi.org/10.1109/TIM.2015.2421712.
[14] M. Tadeusiewicz, S. Hałgas, “A method for local parametric fault diagnosis of a broad class of analog integrated circuits”, IEEE Trans. Instrum. Meas., vol. 67, pp. 328–337, 2018. https://doi.org/10.1109/TIM.2017.2775438.
[15] Y. Xie, X. Li, S. Xie, X. Xie, Q. Zhou, “Soft fault diagnosis of analog circuits via frequency response function measurements”, J. Electron. Test., vol. 30, pp. 243–249, 2014. https://doi.org/10.1007/s10836-014- 5445-9.
[16] M. Tadeusiewicz, S. Hałgas, M. Korzybski, “An algorithm for soft-fault diagnosis of linear and nonlinear circuits”, IEEE Trans. Circ. Syst.-I., vol. 49, pp. 1648-1653, 2002. doi: 10.1109/TCSI.2002.804596.
[17] M. Tadeusiewicz, S. Hałgas, “Soft fault diagnosis of linear circuits with the special attention paid to the circuits containing current conveyors”, Int. J. Electron Commun. (AEÜ), vol. 115, 2020. https://doi.org/10.1016/j.aeue.2019.153036.
[18] M. Tadeusiewicz and S. Hałgas, “A method for multiple soft fault diagnosis of linear analog circuits”, Measurement, vol. 131, pp. 714-722, 2019. doi: 10.1016/j.measurement.2018.09.001.
[19] M. Jahangiri, F. Razaghian, “Fault detection in analogue circuit using hybrid evolutionary algorithm and neural network”, Analog Int. Cir. Sig. Proc., vol. 80, pp. 551-556, 2014. https://doi.org/10.1007/s10470-014- 0352-7
[20] P. Jantos, D. Grzechca, J. Rutkowski, “Evolutionary algorithms for global parametric fault diagnosis in analogue integrated circuits”, Bull. Polish Acad. Scien., vol. 60, pp. 133-142, 2012. doi: 10.2478/v10175- 012-0019-4
[21] C. Yang, “Multiple soft fault diagnosis of analog filter circuit based on genetic algorithm”, IEEE Access., vol. 8, pp. 8193-8201, 2020. https://doi.org/10.1109/ACCESS.2020.2964054.
[22] D. Grzechca, “Soft fault clustering in analog electronic circuits with the use of self organizing neural network”, Metrol Meas Syst., vol. 8, pp. 555–568, 2011. doi: 10.2478/v10178-011-0054-8
[23] B. Long, M. Li, H. Wang, S. Tian, “Diagnostics of analog circuits based on LS-SVM using time-domain features”, Circuits Syst. Signal. Process., vol. 32, pp. 2683-2706, 2013. https://doi.org/10.1007/s00034-013-9614-3
[24] R. Sałat, S, Osowski, “Support Vector Machine for soft fault location in electrical circuits”, J. Intelligent Fuzzy Systems., vol. 22, pp. 21-31, 2011. doi: 10.3233/IFS-2010-0471.
[25] D. Grzechca, “Construction of an expert system based on fuzzy logic for diagnosis of analog electronic circuits”, Int. Journal of Electronic and Telecomunications, vol. 61, pp. 77-82, 2015. doi: 10.1515/eletel-2015- 0010
[26] P. Bilski, “Analysis of the ensemble of regression algorithms for the analog circuit parametric identification”, Measurement, vol. 170, pp. 503–514, 2020. https://doi.org/10.1016/j.measurement.2020.107829.
[27] M. Tadeusiewicz, M. Ossowski, “A verification technique for multiple soft fault diagnosis of linear analog circuits”, Int. Journal of Electronic and Telecomunications, vol. 64, pp. 83-89, 2018. doi: 10.24425/118150.
[28] M. Tadeusiewicz, M. Ossowski, “Modeling analysis and diagnosis of analog circuits in z-domain”, J. Circ. Syst. Comput, vol. 29, no. 02, 2020. https://doi.org/10.1142/S0218126620500280
[29] G. Fedi, S. Manetti, M.C. Piccirilli, J. Starzyk, “Determination of an optimum set of testable components in the fault diagnosis of analog linear circuits”, IEEE Trans. Circ. Syst.-I, vol. 46, pp. 779-787, 1999. doi: 10.1109/81.774222
[30] S. Manetti, M.C. Piccirilli, “A singular-value decomposition approach for ambiguity group determination in analog circuits”, IEEE Trans. Circ. Syst.-I, vol. 50 pp. 477-487, 2003. doi: 10.1109/TCSI.2003.809811.
[31] S. Saeedi, S.H. Pishgar, M. Eslami, “Optimum test point selection method for analog fault dictionary techniques”, Analog Integr. Circuits Signal Processing., vol. 100, pp. 167-179, 2019. https://doi.org/10.1007/s10470-019-01453-7.
[32] X. Tang, A. Xu, R. Li, M. Zhu, J. Dai, “Simulation-based diagnostic model for automatic testability analysis of analog circuit”, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems., vol. 37, pp. 1483-1493, 2018. https://doi.org/10.1109/TCAD.2017.2762647.

[1] S. Abbas, M. Benchohra and G.M. N’Guerekata: Topics in Fractional Differential Equations. Springer, New York, 2012.
[2] R. Almeida, R. Kamocki, A.B. Malinowska and T. Odzijewicz: On the existence of optimal consensus control for the fractional Cucker– Smale model. Archives of Control Sciences, 30(4), (2020), 625–651, DOI: 10.24425/acs.2020.135844.
[3] J.J. Benedetto and W. Czaja: Integration and Modern Analysis. Brikhäuser, Boston, 2009.
[4] N. Bourbaki: Fonctions d’une Variable Réele. Hermann, Paris, 1976.
[5] M. Buslowicz: Robust stability of a class of uncertain fractional order linear systems with pure delay. Archives of Control Sciences, 25(2), (2015), 177–187.
[6] A.I. Daniliu: Impulse Series Method in the Dynamic Analysis of Structures. In: Proceedings of the Eleventh World Conference on Earthquake Engineering, paper no 577, (1996).
[7] S. Das: Functional Fractional Calculus. Second edition, Springer, Berlin, 2011.
[8] L. Debnath and D. Bhatta: Integral Transforms and their Applications. Third edition, CRC Press – Taylor & Francis Group, Boca Raton, 2015.
[9] V.A. Ditkin and A.P. Prudnikov: Integral Transforms and Operational Calculus. Pergamon Press, Oxford, 1965.
[10] G. Doetsch: Handbuch der Laplace-Transformation. Band I, Brikhäuser, Basel, 1950.
[11] D.T. Duc and N.D.V. Nhan: Norm inequalities for new convolutions and their applications. Applicable Analysis and Discrete Mathematics, 9(1), (2015), 168–179, DOI: 10.2298/AADM150109001D.
[12] K.J. Engel and R. Nagel: One-Parameter Semigroups for Linear Evolution Equations. Springer, New York, 2000.
[13] K.J. Engel and R. Nagel: A Short Course on Operator Semigroups. Springer, New York, 2006.
[14] T.M. Flett: Differential analysis. Cambridge University Press, Cambridge, 2008.
[15] J.F. Gomez-Aguilar, H. Yepez-Martinez, C. Calderon-Ramon, I. Cruz- Orduna, R.F. Escobar-Jimenez and V.H. Olivares-Peregrino: Modeling of mass-spring-damper system by fractional derivatives with and without a singular kernel. Entropy, 17(9), (2015), 5340–5343, DOI: 10.3390/e17096289.
[16] M.I. Gomoyunov: Optimal control problems with a fixed terminal time in linear fractional-order systems. Archives of Control Sciences, 30(4), (2020), 721–744, DOI: 10.24425/acs.2020.135849.
[17] R. Gorenflo and F. Mainardi: Fractional calculus: Integral and differential equations of fractional order. In: A. Carpinteri and F. Mainardi (Eds.), Fractals and Fractional Calculus in Continuum Mechanics, Springer-Verlag, Wien, 1997.
[18] R. Grzymkowski and R. Witula: Complex functions and Laplace transform in examples and problems. Pracownia Komputerowa Jacka Skalmierskiego, Gliwice, 2010, (in Polish).
[19] V.A. Ilin, V.A. Sadovniczij and B.H. Sendov: Mathematical Analysis, Initial Course. Moscow University Press, Moscow, 1985, (in Russian).
[20] V.A. Ilin, V.A. Sadovniczij and B.H. Sendov: Mathematical Analysis, Continuation Course. Moscow University Press, Moscow, 1987, (in Russian).
[21] T. Kaczorek: Realization problem for fractional continuous-time systems. Archives of Control Sciences, 18(1), (2008), 43–58.
[22] T. Kaczorek: A new method for computation of positive realizations of fractional linear continuous-time systems. Archives of Control Sciences, 28(4), (2018), 511–525, DOI: 10.24425/acs.2018.125481.
[23] K.S. Kazakov: Dynamic response of a single degree of freedom (SDOF) system in some special load cases, based on the Duhamel integral. In: Proceedings of the EngOpt 2008: International Conference on Engineering Optimization, Rio de Janeiro, Brazil, 2008.
[24] N.S. Khabeev: Duhamel integral form for the interface heat flux between bubble and liquid. International Journal of Heat andMass Transfer, 50(25), (2007), 5340–5343, DOI: 10.1016/j.ijheatmasstransfer.2007.06.012.
[25] J. Klamka and B. Sikora:Newcontrollability criteria for fractional systems with varying delays. Theory and applications of non-integer order systems in Lecture Notes in Electrical Engineering, 407, (2017), 333–344.
[26] M. Klimek: On Solutions of Linear Fractional Differential Equations of a Variational Type. Wydawnictwo Politechniki Częstochowskiej, Częstochowa, 2009.
[27] M.I. Kontorowicz: The Operator Calculus and Processes in Electrical Systems. Wydawnictwo Naukowo-Techniczne, Warsaw, 1968, (in Polish).
[28] M.I. Krasnov , A.I. Kiselev and G.I. Makarenko: Functions of a Complex Variable, Operational Calculus, and Stability Theory, Problems and Exercises. Mir Publishers, Moscow, 1984.
[29] L.D. Kudryavtsev: Course of Mathematical Analysis. Volume 2, Higher School Press, Moscow, 1988, (in Russian).
[30] M.A. Lavrentev and B.V. Shabat: Methods of the Theory of Functions of a Complex Variable. Nauka, Moscow, 1973, (in Russian).
[31] Sz. Lubecki: Duhamel’s theorem for time-dependent thermal boundary conditions. In: R.B Hetnarski (Ed.), Encyclopedia of Thermal Stresses, Springer Netherlands, New Delhi, 2014.
[32] E. Łobos and B. Sikora: Advanced Calculus – Selected Topics. Silesian University of Technology Press, Gliwice, 2009.
[33] Z. Łuszczki: Application of general Bernstein polynomials to proving some theorem on partial derivatives. Prace Matematyczne, 2(2), (1958), 355–360, (in Polish).
[34] J. Mikusinski: On continuous partial derivatives of function of several variables. Prace Matematyczne, 7(1), (1962), 55–58, (in Polish).
[35] S. Mischler: An introduction to evolution PDEs, Chapter 3 – Evolution Equation and semigroups, Dauphine Université Paris, published online: www.ceremade.dauphine.fr/~mischler/Enseignements/M2evol1516/chap3.pdf.
[36] N.Nguyen Du Vi, D. Dinh Thanh and T. Vu Kim:Weighted norminequalities for derivatives and their applications. Kodai Mathematical Journal, 36(2), (2013), 228–245.
[37] J. Osiowski: An Outline of the Operator Calculus.Wydawnictwo Naukowo- Techniczne, Warsaw, 1981, (in Polish).
[38] G. Petiau: Theory of Bessel’s Functions. Centre National de la Recherche Scientifique, Paris, 1955, (in French).
[39] K. Rogowski: Reachability of standard and fractional continuous-time systems with constant inputs. Archives of Control Sciences, 26(2), (2016), 147–159, DOI: 10.1515/acsc-2016-0008.
[40] F.A. Shelkovnikov and K.G. Takaishvili: Collection of Problems on Operational Calculus. Higher School Press, Moscow, 1976, (in Russian).
[41] B. Sikora: Controllability of time-delay fractional systems with and without constraints. IET Control Theory & Applications, 10(3), (2019), 320–327.
[42] B. Sikora: Controllability criteria for time-delay fractional systems with retarded state. International Journal of Applied Mathematics and Computer Science, 26(6), (2019), 521–531.
[43] B. Sikora and J. Klamka: Constrained controllability of fractional linear systems with delays in control. Systems & Control Letters, 106, (2017), 9–15.
[44] B. Sikora and J. Klamka: Constrained controllability of fractional linear systems with delays in control. Kybernetika, 53(2), (2017), 370–381.
[45] B. Sikora: On application of Rothe’s fixed point theorem to study the controllability of fractional semilinear systems with delays. Kybernetika, 55(4), (2019), 675–698.
[46] B. Sikora and N. Matlok: On controllability of fractional positive continuous-time linear systems with delay. Archives of Control Sciences, 31(1), (2021), 29–51, DOI: 10.24425/acs.2021.136879.
[47] J. Tokarzewski: Zeros and the output-zeroing problem in linear fractionalorder systems. Archives of Control Sciences, 18(4), (2008), 437–451.
[48] S. Umarov: On fractional Duhamel’s principle and its applications. Journal of Differential Equations, 252(10), (2012), 5217–5234.
[49] S. Umarov and E. Saydamatov: A fractional analog of the Duhamel principle. Fractional Calculus & Applied Analysis, 9(1), (2006), 57–70.
[50] S. Umarov and E. Saydamatov: A generalization of Duhamel’s principle for differential equations of fractional order. Doklady Mathematics, 75(1), (2007), 94–96.
[51] C. Villani: Birth of a Theorem, Grasset & Fasquelle, 2012, (in French).