Sun, Yiqun; Zhou, Xiang An improved adaptive minimum action method for the calculation of transition path in non-gradient systems. (English) Zbl 1488.82009 Commun. Comput. Phys. 24, No. 1, 44-68 (2018). MSC: 82C26 60H30 34F05 60F10 49S05 60H40 65L12 PDFBibTeX XMLCite \textit{Y. Sun} and \textit{X. Zhou}, Commun. Comput. Phys. 24, No. 1, 44--68 (2018; Zbl 1488.82009) Full Text: DOI arXiv
Casado-Díaz, Juan A characterization result for the existence of a two-phase material minimizing the first eigenvalue. (English) Zbl 1379.49044 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 5, 1215-1226 (2017). MSC: 49R05 49J20 PDFBibTeX XMLCite \textit{J. Casado-Díaz}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 5, 1215--1226 (2017; Zbl 1379.49044) Full Text: DOI
Tsai, Jason Sheng-Hong; Liao, Ying-Ting; Ebrahimzadeh, Faezeh; Lai, Sheng-Ying; Su, Te-Jen; Guo, Shu-Mei; Shieh, Leang-San; Tsai, Tzong-Jiy A new PI optimal linear quadratic state-estimate tracker for continuous-time non-square non-minimum phase systems. (English) Zbl 1362.93063 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 48, No. 7, 1438-1459 (2017). MSC: 93B55 93B60 49N10 93C15 93C05 93C35 PDFBibTeX XMLCite \textit{J. S. H. Tsai} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 48, No. 7, 1438--1459 (2017; Zbl 1362.93063) Full Text: DOI
Grabovsky, Yury; Kucher, Vladislav A.; Truskinovsky, Lev Weak variations of Lipschitz graphs and stability of phase boundaries. (English) Zbl 1272.74520 Contin. Mech. Thermodyn. 23, No. 2, 87-123 (2011). MSC: 74N05 49S99 PDFBibTeX XMLCite \textit{Y. Grabovsky} et al., Contin. Mech. Thermodyn. 23, No. 2, 87--123 (2011; Zbl 1272.74520) Full Text: DOI
Devasia, Santosh Nonlinear minimum-time control with pre- and post-actuation. (English) Zbl 1220.49005 Automatica 47, No. 7, 1379-1387 (2011). MSC: 49J30 93C10 93C15 PDFBibTeX XMLCite \textit{S. Devasia}, Automatica 47, No. 7, 1379--1387 (2011; Zbl 1220.49005) Full Text: DOI
Takezawa, Akihiro; Nishiwaki, Shinji; Kitamura, Mitsuru Shape and topology optimization based on the phase field method and sensitivity analysis. (English) Zbl 1185.65109 J. Comput. Phys. 229, No. 7, 2697-2718 (2010). MSC: 65K10 49Q10 49M25 PDFBibTeX XMLCite \textit{A. Takezawa} et al., J. Comput. Phys. 229, No. 7, 2697--2718 (2010; Zbl 1185.65109) Full Text: DOI Link
Dmitruk, A. On the development of Pontryagin’s maximum principle in the works of A. Ya. Dubovitskii and A. A. Milyutin. (English) Zbl 1236.49003 Control Cybern. 38, No. 4, Part A, 923-957 (2009). MSC: 49-02 49K15 PDFBibTeX XMLCite \textit{A. Dmitruk}, Control Cybern. 38, No. 4, Part A, 923--957 (2009; Zbl 1236.49003) Full Text: EuDML Link
Fossas, E.; Olm, J. M. Galerkin method and approximate tracking in a non-minimum phase bilinear system. (English) Zbl 1117.93039 Discrete Contin. Dyn. Syst., Ser. B 7, No. 1, 53-76 (2007). MSC: 93C10 93C15 49M15 93B40 PDFBibTeX XMLCite \textit{E. Fossas} and \textit{J. M. Olm}, Discrete Contin. Dyn. Syst., Ser. B 7, No. 1, 53--76 (2007; Zbl 1117.93039)
Linnér, Anders; Jerome, Joseph W. A unique graph of minimal elastic energy. (English) Zbl 1110.58009 Trans. Am. Math. Soc. 359, No. 5, 2021-2041 (2007). Reviewer: Themistocles M. Rassias (Athens) MSC: 58E25 49J30 58Z05 PDFBibTeX XMLCite \textit{A. Linnér} and \textit{J. W. Jerome}, Trans. Am. Math. Soc. 359, No. 5, 2021--2041 (2007; Zbl 1110.58009) Full Text: DOI
Garcia, Germain; Pradin, Bernard; Tarbouriech, Sophie; Zeng, Fanyou Robust stabilization and guaranteed cost control for discrete-time linear systems by static output feedback. (English) Zbl 1036.93053 Automatica 39, No. 9, 1635-1641 (2003). Reviewer: Edwin Engin Yaz (Milwaukee) MSC: 93D21 93C55 49N10 93D15 PDFBibTeX XMLCite \textit{G. Garcia} et al., Automatica 39, No. 9, 1635--1641 (2003; Zbl 1036.93053) Full Text: DOI
Wan, Chih-Jian; Bernstein, Dennis S. Nonlinear feedback control with global stabilization. (English) Zbl 0841.93067 Dyn. Control 5, No. 4, 321-346 (1995). Reviewer: A.Akutowicz (Berlin) MSC: 93D15 49N35 93D30 PDFBibTeX XMLCite \textit{C.-J. Wan} and \textit{D. S. Bernstein}, Dyn. Control 5, No. 4, 321--346 (1995; Zbl 0841.93067) Full Text: DOI
Osmolovskij, V. G. An existence theorem and weak Lagrange equations for a variational problem of the theory of phase transitions. (English. Russian original) Zbl 0866.49003 Sib. Math. J. 35, No. 4, 743-753 (1994); translation from Sib. Mat. Zh. 35, No. 4, 835-846 (1994). Reviewer: W.Kotarski (Sosnowiec) MSC: 49J10 49J40 74E05 74A15 74S30 74P10 49S05 PDFBibTeX XMLCite \textit{V. G. Osmolovskij}, Sib. Math. J. 35, No. 4, 743--753 (1994; Zbl 0866.49003); translation from Sib. Mat. Zh. 35, No. 4, 835--846 (1994) Full Text: DOI
Kushlyk, O. I. Optimal control problem with phase constraints for a linear system of equations with delay. (English. Russian original) Zbl 0773.49010 Ukr. Math. J. 43, No. 12, 1533-1538 (1991); translation from Ukr. Mat. Zh. 43, No. 12, 1647-1652 (1991). Reviewer: S.Mirica (Bucureşti) MSC: 49K25 34K35 PDFBibTeX XMLCite \textit{O. I. Kushlyk}, Ukr. Math. J. 43, No. 12, 1533--1538 (1991; Zbl 0773.49010); translation from Ukr. Mat. Zh. 43, No. 12, 1647--1652 (1991) Full Text: DOI
Dvalishvili, F. A. Some problems in the qualitative theory of optimal control with distributed delay. (Russian. English summary) Zbl 1017.49500 Tr. Inst. Prikl. Mat. Im. I. N. Vekua 41, 83-113 (1991). MSC: 49K25 34K35 PDFBibTeX XMLCite \textit{F. A. Dvalishvili}, Tr. Inst. Prikl. Mat. Im. I. N. Vekua 41, 83--113 (1991; Zbl 1017.49500)
Gu, Guoxiang On the existence of linear optimal control with output feedback. (English) Zbl 0718.49004 SIAM J. Control Optimization 28, No. 3, 711-719 (1990). MSC: 49J15 49N10 93D15 49N35 PDFBibTeX XMLCite \textit{G. Gu}, SIAM J. Control Optim. 28, No. 3, 711--719 (1990; Zbl 0718.49004) Full Text: DOI
Ponte Castañeda, P.; Willis, J. R. On the overall properties of nonlinearly viscous composites. (English) Zbl 0635.73006 Proc. R. Soc. Lond., Ser. A 416, No. 1850, 217-244 (1988). MSC: 74A40 74S30 49S05 74E05 74E30 PDFBibTeX XMLCite \textit{P. Ponte Castañeda} and \textit{J. R. Willis}, Proc. R. Soc. Lond., Ser. A 416, No. 1850, 217--244 (1988; Zbl 0635.73006) Full Text: DOI
Hmood, Samir A.; Prasad, R. M. Generalized approach for model algorithmic control. (English) Zbl 0622.93017 Int. J. Syst. Sci. 18, 1395-1410 (1987). MSC: 93B40 65K10 93C40 49K99 PDFBibTeX XMLCite \textit{S. A. Hmood} and \textit{R. M. Prasad}, Int. J. Syst. Sci. 18, 1395--1410 (1987; Zbl 0622.93017) Full Text: DOI
Plotnikov, V. I.; Starobinets, I. M. Phase inclusions in optimal-control problems. (English. Russian original) Zbl 0599.49015 Differ. Equations 22, 174-183 (1986); translation from Differ. Uravn. 22, No. 2, 236-247 (1986). Reviewer: I.Asmykovitch MSC: 49K15 34A34 93C15 PDFBibTeX XMLCite \textit{V. I. Plotnikov} and \textit{I. M. Starobinets}, Differ. Equations 22, 174--183 (1986; Zbl 0599.49015); translation from Differ. Uravn. 22, No. 2, 236--247 (1986)
Berbyuk, V. E.; Didukh, A. I. Optimal control of an elastic manipulator with restricted rate of acceleration. (Russian) Zbl 0597.70002 Mat. Metody Fiz.-Mekh. Polya 23, 72-77 (1986). Reviewer: E.Ihle MSC: 70B15 70Q05 49K15 74K15 PDFBibTeX XMLCite \textit{V. E. Berbyuk} and \textit{A. I. Didukh}, Mat. Metody Fiz.-Mekh. Polya 23, 72--77 (1986; Zbl 0597.70002)
Chen, H. F.; Caines, P. E. Adaptive linear-quadratic control for stochastic discrete-time systems. (English) Zbl 0635.93043 IMA J. Math. Control. Inf. 2, 319-334 (1985). Reviewer: M.de la Sen MSC: 93C40 93C55 93E20 49J55 93C05 93E03 93E15 PDFBibTeX XMLCite \textit{H. F. Chen} and \textit{P. E. Caines}, IMA J. Math. Control Inf. 2, 319--334 (1985; Zbl 0635.93043) Full Text: DOI
Dubovitskij, A. Ya.; Dubovistkij, V. A. Necessary conditions for a strong minimum in optimal control problems with degeneracy of the end-point and phase constraints. (English) Zbl 0602.49014 Russ. Math. Surv. 40, No. 2, 209-210 (1985). MSC: 49K15 34H05 49J45 93C15 PDFBibTeX XMLCite \textit{A. Ya. Dubovitskij} and \textit{V. A. Dubovistkij}, Russ. Math. Surv. 40, No. 2, 209--210 (1985; Zbl 0602.49014) Full Text: DOI
Arutyunov, A. V. On necessary optimality conditions in a problem with phase constraints. (English. Russian original) Zbl 0597.49018 Sov. Math., Dokl. 31, 174-177 (1985); translation from Dokl. Akad. Nauk SSSR 280, 1033-1037 (1985). MSC: 49K27 49M30 90C48 49K15 PDFBibTeX XMLCite \textit{A. V. Arutyunov}, Sov. Math., Dokl. 31, 174--177 (1985; Zbl 0597.49018); translation from Dokl. Akad. Nauk SSSR 280, 1033--1037 (1985)
Dubovitskij, A. Ya.; Dubovitskij, V. A. Necessary conditions for a strong minimum in optimal control problems with degeneration of final and phase constraints. (Russian) Zbl 0572.49006 Usp. Mat. Nauk 40, No. 2(242), 175-176 (1985). Reviewer: J.Ramik MSC: 49K15 49J45 34H05 93C15 PDFBibTeX XMLCite \textit{A. Ya. Dubovitskij} and \textit{V. A. Dubovitskij}, Usp. Mat. Nauk 40, No. 2(242), 175--176 (1985; Zbl 0572.49006)
Novozhenov, M. M.; Plotnikov, V. I. A general Lagrange-multiplier rule for distributed systems with phase restrictions. (English. Russian original) Zbl 0531.49008 Differ. Equations 18, 422-428 (1982); translation from Differ. Uravn. 18, 584-592 (1982). Reviewer: M.Vlach MSC: 49K20 35K20 35K60 35B37 93C10 93C20 PDFBibTeX XMLCite \textit{M. M. Novozhenov} and \textit{V. I. Plotnikov}, Differ. Equations 18, 422--428 (1982; Zbl 0531.49008); translation from Differ. Uravn. 18, 584--592 (1982)
Milton, G. W.; Phan-Thien, N. New bounds on effective elastic moduli of two-component materials. (English) Zbl 0497.73016 Proc. R. Soc. Lond., Ser. A 380, 305-331 (1982). MSC: 74E05 74A60 74M25 74E30 49S05 PDFBibTeX XMLCite \textit{G. W. Milton} and \textit{N. Phan-Thien}, Proc. R. Soc. Lond., Ser. A 380, 305--331 (1982; Zbl 0497.73016) Full Text: DOI
Horowitz, Isaac Design of feedback systems with non-minimum-phase unstable plants. (English) Zbl 0414.49016 Int. J. Syst. Sci. 10, 1025-1040 (1979). MSC: 49K40 93C05 93C99 93B35 PDFBibTeX XMLCite \textit{I. Horowitz}, Int. J. Syst. Sci. 10, 1025--1040 (1979; Zbl 0414.49016) Full Text: DOI