Singh, S. P.; Singh, Varsha; Singh, V. P. Symbiotic organisms search algorithm based model reduction of higher order continuous systems. (English) Zbl 1482.93103 Int. J. Math. Oper. Res. 18, No. 1, 115-125 (2021). MSC: 93B11 PDF BibTeX XML Cite \textit{S. P. Singh} et al., Int. J. Math. Oper. Res. 18, No. 1, 115--125 (2021; Zbl 1482.93103) Full Text: DOI OpenURL
Bokam, Jagadish Kumar; Singh, Vinay Pratap; Devarapalli, Ramesh; Márquez, Fausto Pedro García An improvement of gamma approximation for reduction of continuous interval systems. (English) Zbl 1470.93033 Arch. Control Sci. 31, No. 2, 347-373 (2021). MSC: 93B11 93C35 93D09 PDF BibTeX XML Cite \textit{J. K. Bokam} et al., Arch. Control Sci. 31, No. 2, 347--373 (2021; Zbl 1470.93033) Full Text: DOI OpenURL
Zhang, Deng-Bo; Tang, You-Qi; Liang, Ru-Quan; Yang, Liu; Chen, Li-Qun Dynamic stability of an axially transporting beam with two-frequency parametric excitation and internal resonance. (English) Zbl 1477.74053 Eur. J. Mech., A, Solids 85, Article ID 104084, 10 p. (2021). MSC: 74H55 74K10 74H45 74H10 PDF BibTeX XML Cite \textit{D.-B. Zhang} et al., Eur. J. Mech., A, Solids 85, Article ID 104084, 10 p. (2021; Zbl 1477.74053) Full Text: DOI OpenURL
Prajapati, Arvind Kumar; Rayudu, V. G. Durgarao; Sikander, Afzal; Prasad, Rajendra A new technique for the reduced-order modelling of linear dynamic systems and design of controller. (English) Zbl 07497223 Circuits Syst. Signal Process. 39, No. 10, 4849-4867 (2020). MSC: 93B11 93C05 93D05 PDF BibTeX XML Cite \textit{A. K. Prajapati} et al., Circuits Syst. Signal Process. 39, No. 10, 4849--4867 (2020; Zbl 07497223) Full Text: DOI OpenURL
Alimov, Alexey R.; Bukhzhalev, Evgeny E. Iteration method of approximate solution of the Cauchy problem for a singularly perturbed weakly nonlinear differential equation of an arbitrary order. (English) Zbl 1424.34062 Turk. J. Math. 42, No. 5, 2841-2853 (2018). MSC: 34A45 34E15 34A12 47N20 PDF BibTeX XML Cite \textit{A. R. Alimov} and \textit{E. E. Bukhzhalev}, Turk. J. Math. 42, No. 5, 2841--2853 (2018; Zbl 1424.34062) Full Text: DOI Link OpenURL
Krajewski, Wiesław; Viaro, Umberto Routh-type \(L_2\) model reduction revisited. (English) Zbl 1449.93091 Kybernetika 54, No. 3, 557-575 (2018). MSC: 93C05 93A15 93B11 PDF BibTeX XML Cite \textit{W. Krajewski} and \textit{U. Viaro}, Kybernetika 54, No. 3, 557--575 (2018; Zbl 1449.93091) Full Text: DOI OpenURL
Bukzhalev, Evgeny E.; Ovchinnikov, Alexey V. A method of the study of the Cauchy problem for a singularly perturbed linear inhomogeneous differential equation. (English) Zbl 1397.34094 Aust. J. Math. Anal. Appl. 15, No. 2, Article No. 6, 14 p. (2018). MSC: 34E15 34A12 34A30 34A45 34E05 47N20 PDF BibTeX XML Cite \textit{E. E. Bukzhalev} and \textit{A. V. Ovchinnikov}, Aust. J. Math. Anal. Appl. 15, No. 2, Article No. 6, 14 p. (2018; Zbl 1397.34094) Full Text: arXiv Link OpenURL
Desai, S. R.; Prasad, Rajendra A novel order diminution of LTI systems using big bang big crunch optimization and Routh approximation. (English) Zbl 1438.93017 Appl. Math. Modelling 37, No. 16-17, 8016-8028 (2013). MSC: 93B11 93C35 93C05 93D05 PDF BibTeX XML Cite \textit{S. R. Desai} and \textit{R. Prasad}, Appl. Math. Modelling 37, No. 16--17, 8016--8028 (2013; Zbl 1438.93017) Full Text: DOI OpenURL
Tang, You-Qi; Chen, Li-Qun Stability analysis and numerical confirmation in parametric resonance of axially moving viscoelastic plates with time-dependent speed. (English) Zbl 1347.74058 Eur. J. Mech., A, Solids 37, 106-121 (2013). MSC: 74K20 74D10 74H10 PDF BibTeX XML Cite \textit{Y.-Q. Tang} and \textit{L.-Q. Chen}, Eur. J. Mech., A, Solids 37, 106--121 (2013; Zbl 1347.74058) Full Text: DOI OpenURL
Tang, Youqi; Chen, Liqun Primary resonance in forced vibrations of in-plane translating viscoelastic plates with 3:1 internal resonance. (English) Zbl 1288.74032 Nonlinear Dyn. 69, No. 1-2, 159-172 (2012). MSC: 74H45 74K20 74D05 74H15 PDF BibTeX XML Cite \textit{Y. Tang} and \textit{L. Chen}, Nonlinear Dyn. 69, No. 1--2, 159--172 (2012; Zbl 1288.74032) Full Text: DOI OpenURL
Bandyopadhyay, B.; Sreeram, V.; Shingare, Prashant Stable \(\gamma -\delta\) Routh approximation of interval systems using Kharionov polynomials. (English) Zbl 1348.93214 Int. J. Inf. Syst. Sci. 4, No. 3, 348-361 (2008). MSC: 93D09 PDF BibTeX XML Cite \textit{B. Bandyopadhyay} et al., Int. J. Inf. Syst. Sci. 4, No. 3, 348--361 (2008; Zbl 1348.93214) Full Text: Link OpenURL
Özbay, Hitay Introduction to feedback control theory. (English) Zbl 0980.93001 Boca Raton, FL: CRC Press. 217 p. (1999). Reviewer: Edward Boje (Durban) MSC: 93-01 93B51 93C80 PDF BibTeX XML Cite \textit{H. Özbay}, Introduction to feedback control theory. Boca Raton, FL: CRC Press (1999; Zbl 0980.93001) OpenURL
Hwang, Chyi; Lee, Ying-Chin A new family of Routh approximants. (English) Zbl 0867.93056 Circuits Syst. Signal Process. 16, No. 1, 1-25 (1997). Reviewer: M.Z.Nashed (Newark/Delaware) MSC: 93C80 93D09 93B11 PDF BibTeX XML Cite \textit{C. Hwang} and \textit{Y.-C. Lee}, Circuits Syst. Signal Process. 16, No. 1, 1--25 (1997; Zbl 0867.93056) Full Text: DOI OpenURL
Lucas, T. N. Constrained optimal Padé model reduction. (English) Zbl 1008.93015 J. Dyn. Syst. Meas. Control 119, No. 4, 685-690 (1997). Reviewer: Adhemar Bultheel (Leuven) MSC: 93B11 41A21 PDF BibTeX XML Cite \textit{T. N. Lucas}, J. Dyn. Syst. Meas. Control 119, No. 4, 685--690 (1997; Zbl 1008.93015) Full Text: DOI OpenURL
Bandyopadhyay, B.; Upadhye, Avinash; Ismail, Osman \(\gamma-\delta\) routh approximation for interval systems. (English) Zbl 0884.93043 IEEE Trans. Autom. Control 42, No. 8, 1127-1130 (1997). MSC: 93D09 93C80 PDF BibTeX XML Cite \textit{B. Bandyopadhyay} et al., IEEE Trans. Autom. Control 42, No. 8, 1127--1130 (1997; Zbl 0884.93043) Full Text: DOI OpenURL
Lickteig, Thomas; Roy, Marie-Françoise Cauchy index computation. (English) Zbl 0904.65024 Calcolo 33, No. 3-4, 337-351 (1996). MSC: 65D20 41A20 PDF BibTeX XML Cite \textit{T. Lickteig} and \textit{M.-F. Roy}, Calcolo 33, No. 3--4, 337--351 (1996; Zbl 0904.65024) Full Text: DOI OpenURL
Hwang, Chyi; Hwang, Jyh-Haur A new two-step iterative method for optimal reduction of linear SISO systems. (English) Zbl 0881.93014 J. Franklin Inst. 333B, No. 5, 631-645 (1996). Reviewer: A.Bultheel (Leuven) MSC: 93B11 41A20 90C31 PDF BibTeX XML Cite \textit{C. Hwang} and \textit{J.-H. Hwang}, J. Franklin Inst. 333B, No. 5, 631--645 (1996; Zbl 0881.93014) Full Text: DOI OpenURL
Hwang, C.; Hwang, J.-H.; Guo, T.-Y. Multifrequency Routh approximants for linear systems. (English) Zbl 0834.93015 IEE Proc., Control Theory Appl. 142, No. 4, 351-358 (1995). MSC: 93B11 41A20 30B70 93C05 PDF BibTeX XML Cite \textit{C. Hwang} et al., IEE Proc., Control Theory Appl. 142, No. 4, 351--358 (1995; Zbl 0834.93015) Full Text: DOI OpenURL
Mittal, R. C.; Agarwal, Ritu On zeros of a complex polynomial. (English) Zbl 0822.30007 Indian J. Pure Appl. Math. 26, No. 4, 363-371 (1995). Reviewer: G.D.Dikshit (Auckland) MSC: 30C15 65D99 PDF BibTeX XML Cite \textit{R. C. Mittal} and \textit{R. Agarwal}, Indian J. Pure Appl. Math. 26, No. 4, 363--371 (1995; Zbl 0822.30007) OpenURL
Hamada, Nozumu Algebraic stability criteria and their application to model reduction. (English) Zbl 0874.93024 Nagai, Nobuo (ed.), Linear circuits, systems, and signal processing: Advanced theory and applications. New York, NY: Marcel Dekker. Electr. Eng. Electron. 62, 119-139 (1990). Reviewer: D.Stanomir (Bucureşti) MSC: 93B11 93D20 93D25 PDF BibTeX XML Cite \textit{N. Hamada}, Electr. Eng. Electron. 62, 119--139 (1990; Zbl 0874.93024) OpenURL
Hwang, Chyi; Hsieh, Ching-Shieh Order reduction of discrete-time system via bilinear Routh approximation. (English) Zbl 0707.93009 J. Dyn. Syst. Meas. Control 112, No. 2, 292-297 (1990). MSC: 93B11 93B17 93C55 41A20 PDF BibTeX XML Cite \textit{C. Hwang} and \textit{C.-S. Hsieh}, J. Dyn. Syst. Meas. Control 112, No. 2, 292--297 (1990; Zbl 0707.93009) Full Text: DOI OpenURL
Hsieh, C.-S.; Hwang, C. Model reduction of continuous-time systems using a modified Routh approximation method. (English) Zbl 0731.93041 IEE Proc., Part D 136, No. 4, 151-156 (1989). MSC: 93C05 PDF BibTeX XML Cite \textit{C. S. Hsieh} and \textit{C. Hwang}, IEE Proc., Part D 136, No. 4, 151--156 (1989; Zbl 0731.93041) Full Text: DOI OpenURL
Hamidi-Hashemi, H.; Leondes, C. T. Reduction of high-order discrete-time systems. (English) Zbl 0662.93043 Int. J. Syst. Sci. 19, No. 9, 1883-1890 (1988). Reviewer: V.Krakhatko MSC: 93C55 93B17 93D99 PDF BibTeX XML Cite \textit{H. Hamidi-Hashemi} and \textit{C. T. Leondes}, Int. J. Syst. Sci. 19, No. 9, 1883--1890 (1988; Zbl 0662.93043) Full Text: DOI OpenURL
Lambda, S. S.; Gorez, R.; Bandyopadhyay, B. New reduction technique by step error minimization for multivariable systems. (English) Zbl 0647.93042 Int. J. Syst. Sci. 19, No. 6, 999-1009 (1988). MSC: 93C35 30B70 41A20 93C05 PDF BibTeX XML Cite \textit{S. S. Lambda} et al., Int. J. Syst. Sci. 19, No. 6, 999--1009 (1988; Zbl 0647.93042) Full Text: DOI OpenURL
Lepschy, Antonio; Mian, Gian A; Viaro, Umberto Stability preservation and computational aspects of a newly proposed reduction method. (English) Zbl 0643.93058 IEEE Trans. Autom. Control 33, No. 3, 307-310 (1988). MSC: 93D99 93B40 93C05 41A20 PDF BibTeX XML Cite \textit{A. Lepschy} et al., IEEE Trans. Autom. Control 33, No. 3, 307--310 (1988; Zbl 0643.93058) Full Text: DOI OpenURL
Lamba, S. S.; Bandyopadhyay, B. An improvement on Routh approximation technique. (English) Zbl 0599.93012 IEEE Trans. Autom. Control 31, 1047-1050 (1986). MSC: 93B40 41A20 93B17 93A15 93B10 93C05 PDF BibTeX XML Cite \textit{S. S. Lamba} and \textit{B. Bandyopadhyay}, IEEE Trans. Autom. Control 31, 1047--1050 (1986; Zbl 0599.93012) Full Text: DOI OpenURL
Wang, Chi-Hsu; Marleau, Richard S. Application of generalized block-pulse operational matrices for the approximation of continuous-time systems. (English) Zbl 0594.93047 Int. J. Syst. Sci. 17, 1269-1278 (1986). MSC: 93C99 42C10 44A45 33C45 PDF BibTeX XML Cite \textit{C.-H. Wang} and \textit{R. S. Marleau}, Int. J. Syst. Sci. 17, 1269--1278 (1986; Zbl 0594.93047) Full Text: DOI OpenURL
Shieh, Leang-San; Chang, Fan-Ren; Yates, Robert E. The generalized matrix continued-fraction descriptions and their application to model simplification. (English) Zbl 0591.93014 Int. J. Syst. Sci. 17, 1-19 (1986). Reviewer: O.Pastravanu MSC: 93B25 15A21 93B10 93B40 93C35 93D25 30B70 PDF BibTeX XML Cite \textit{L.-S. Shieh} et al., Int. J. Syst. Sci. 17, 1--19 (1986; Zbl 0591.93014) Full Text: DOI OpenURL
Farsi, M.; Warwick, K.; Guilandoust, M. Stable reduced-order models for discrete-time systems. (English) Zbl 0589.93054 IEE Proc., Part D 133, 137-141 (1986). MSC: 93D99 41A20 93C55 93B40 93C35 PDF BibTeX XML Cite \textit{M. Farsi} et al., IEE Proc., Part D 133, 137--141 (1986; Zbl 0589.93054) Full Text: DOI OpenURL
Shoji, F. F.; Abe, K.; Takeda, H. On the simplification of large linear systems using Padé-type approximations and Cauer continued fractions. (English) Zbl 0561.93011 Int. J. Syst. Sci. 16, 325-336 (1985). MSC: 93A15 30B70 41A21 93B40 93C05 PDF BibTeX XML Cite \textit{F. F. Shoji} et al., Int. J. Syst. Sci. 16, 325--336 (1985; Zbl 0561.93011) Full Text: DOI OpenURL
Hwang, Chyi Mixed method of Routh and ISE criterion approaches for reduced-order modeling of continuous-time systems. (English) Zbl 0554.93037 J. Dyn. Syst. Meas. Control 106, 353-356 (1984). MSC: 93C35 41A20 93D20 93C05 93C99 PDF BibTeX XML Cite \textit{C. Hwang}, J. Dyn. Syst. Meas. Control 106, 353--356 (1984; Zbl 0554.93037) Full Text: DOI OpenURL
Hwang, Chyi; Wang, Kuanyue Optimal Routh approximations for continuous-time systems. (English) Zbl 0531.93042 Int. J. Syst. Sci. 15, 249-259 (1984). MSC: 93C99 30B70 93B40 26C15 93B17 93C05 PDF BibTeX XML Cite \textit{C. Hwang} and \textit{K. Wang}, Int. J. Syst. Sci. 15, 249--259 (1984; Zbl 0531.93042) Full Text: DOI OpenURL
Ismail, M.; Kim, H. K. Elements of the first column of Routh’s array. (English) Zbl 0561.65008 J. Franklin Inst. 316, 381-384 (1983). MSC: 65D15 PDF BibTeX XML Cite \textit{M. Ismail} and \textit{H. K. Kim}, J. Franklin Inst. 316, 381--384 (1983; Zbl 0561.65008) Full Text: DOI OpenURL
Tkachenko, N. E.; Tkachenko, S. E. Cyclic variable fields and analoga of Routh equations in continuum mechanics. (Russian) Zbl 0549.73004 Mat. Fiz. 33, 98-101 (1983). Reviewer: E.Ihle MSC: 74A99 70H99 70H03 PDF BibTeX XML Cite \textit{N. E. Tkachenko} and \textit{S. E. Tkachenko}, Mat. Fiz. 33, 98--101 (1983; Zbl 0549.73004) OpenURL
Hwang, Rueyyin; Hwang, Chyi; Shih, Yenping A stable residue method for model reduction of discrete systems. (English) Zbl 0527.93045 Comput. Electr. Eng. 10, 259-267 (1983). MSC: 93C55 93B17 93C05 68U20 93D99 PDF BibTeX XML Cite \textit{R. Hwang} et al., Comput. Electr. Eng. 10, 259--267 (1983; Zbl 0527.93045) Full Text: DOI OpenURL
Lucas, T. N.; Davidson, A. M. Frequency-domain reduction of linear systems using Schwarz approximation. (English) Zbl 0505.93032 Int. J. Control 37, 1167-1178 (1983). MSC: 93C05 93B10 93B17 41A60 30B70 93C35 93C99 93D20 PDF BibTeX XML Cite \textit{T. N. Lucas} and \textit{A. M. Davidson}, Int. J. Control 37, 1167--1178 (1983; Zbl 0505.93032) Full Text: DOI OpenURL
Lepschy, Antonio; Viaro, Umberto An improvement in the Routh-Padé approximation techniques. (English) Zbl 0511.93044 Int. J. Control 36, 643-661 (1982). MSC: 93C35 41A21 93C05 93B17 93C15 93C99 PDF BibTeX XML Cite \textit{A. Lepschy} and \textit{U. Viaro}, Int. J. Control 36, 643--661 (1982; Zbl 0511.93044) Full Text: DOI OpenURL
Ashoor, Najah; Singh, Vimal A note on low-order modeling. (English) Zbl 0507.93047 IEEE Trans. Autom. Control 27, 1124-1126 (1982). MSC: 93C35 41A21 41A20 93B17 68U20 PDF BibTeX XML Cite \textit{N. Ashoor} and \textit{V. Singh}, IEEE Trans. Autom. Control 27, 1124--1126 (1982; Zbl 0507.93047) Full Text: DOI OpenURL
Sinha, N. K.; El-Nahas, I.; Alden, R. T. H. Routh approximation of multivariable systems. (English) Zbl 0495.93036 Probl. Control Inf. Theory 11, 195-204 (1982). MSC: 93C35 93B17 41A60 93C05 93A15 93D99 15A21 PDF BibTeX XML Cite \textit{N. K. Sinha} et al., Probl. Control Inf. Theory 11, 195--204 (1982; Zbl 0495.93036) OpenURL
Bistritz, Y. A direct Routh stability method for discrete system modelling. (English) Zbl 0482.93053 Syst. Control Lett. 2, 83-87 (1982). MSC: 93D05 93B17 93C55 30C15 93B40 PDF BibTeX XML Cite \textit{Y. Bistritz}, Syst. Control Lett. 2, 83--87 (1982; Zbl 0482.93053) Full Text: DOI OpenURL
Hwang, Chyi; Shih, Yen-Ping Routh approximations for reducing order of discrete systems. (English) Zbl 0479.93019 J. Dyn. Syst. Meas. Control 104, 107-109 (1982). MSC: 93B17 93C55 93B40 PDF BibTeX XML Cite \textit{C. Hwang} and \textit{Y.-P. Shih}, J. Dyn. Syst. Meas. Control 104, 107--109 (1982; Zbl 0479.93019) Full Text: DOI OpenURL
Hwang, Chyi; Shih, Yen-Ping; Hwang, Ruey-Yinn A combined time and frequency domain method for model reduction of discrete systems. (English) Zbl 0478.93036 J. Franklin Inst. 311, 391-402 (1981). MSC: 93C55 93B17 30C10 PDF BibTeX XML Cite \textit{C. Hwang} et al., J. Franklin Inst. 311, 391--402 (1981; Zbl 0478.93036) Full Text: DOI OpenURL
Van Dao, Nguyen Nonlinear oscillations of the third order systems III. Parametric oscillation. (English) Zbl 0505.34030 J. Tech. Phys. 21, 253-265 (1980). MSC: 34C15 34A45 PDF BibTeX XML Cite \textit{N. Van Dao}, J. Tech. Phys. 21, 253--265 (1980; Zbl 0505.34030) OpenURL
Shamash, Y. Stable biased reduced order models using the Routh method of reduction. (English) Zbl 0439.93012 Int. J. Syst. Sci. 11, 641-654 (1980). MSC: 93B20 93B40 93D20 PDF BibTeX XML Cite \textit{Y. Shamash}, Int. J. Syst. Sci. 11, 641--654 (1980; Zbl 0439.93012) Full Text: DOI OpenURL
Shamash, Y. Failure of the Routh-Hurwitz method of reduction. (English) Zbl 0436.93020 IEEE Trans. Autom. Control 25, 313-314 (1980). MSC: 93B99 41A21 PDF BibTeX XML Cite \textit{Y. Shamash}, IEEE Trans. Autom. Control 25, 313--314 (1980; Zbl 0436.93020) Full Text: DOI OpenURL
Langholz, G.; Bistritz, Y. Model reduction of dynamic systems over a frequency interval. (English) Zbl 0429.93025 Int. J. Control 31, 51-62 (1980). MSC: 93C05 93B20 93C99 93B99 PDF BibTeX XML Cite \textit{G. Langholz} and \textit{Y. Bistritz}, Int. J. Control 31, 51--62 (1980; Zbl 0429.93025) Full Text: DOI OpenURL
Singh, Vimal A note on continued fraction inversion. (English) Zbl 0419.65009 IEEE Trans. Autom. Control 24, 664-666 (1979). MSC: 65D15 30B70 40A15 PDF BibTeX XML Cite \textit{V. Singh}, IEEE Trans. Autom. Control 24, 664--666 (1979; Zbl 0419.65009) Full Text: DOI OpenURL
Maroulas, J.; Barnett, S. Some new results on the qualitative theory of generalized polynomials. (English) Zbl 0417.65024 J. Inst. Math. Appl. 22, 53-70 (1978). MSC: 65H05 41A30 41A10 11R09 PDF BibTeX XML Cite \textit{J. Maroulas} and \textit{S. Barnett}, J. Inst. Math. Appl. 22, 53--70 (1978; Zbl 0417.65024) Full Text: DOI OpenURL