Han, Xin-Xin; Efimov, Denis; Polyakov, Andrey; Wu, Kai-Ning Input-to-state stability analysis of heat equation with boundary finite-time control. (English) Zbl 07803903 Automatica 160, Article ID 111443, 9 p. (2024). MSC: 93D25 93C20 35K05 PDFBibTeX XMLCite \textit{X.-X. Han} et al., Automatica 160, Article ID 111443, 9 p. (2024; Zbl 07803903) Full Text: DOI
Zhuk, Sergiy; Iftime, Orest V.; Epperlein, Jonathan P.; Polyakov, Andrey Minimax sliding mode control design for linear evolution equations with noisy measurements and uncertain inputs. (English) Zbl 1454.93048 Syst. Control Lett. 147, Article ID 104830, 9 p. (2021). MSC: 93B12 93D15 93B03 93C43 PDFBibTeX XMLCite \textit{S. Zhuk} et al., Syst. Control Lett. 147, Article ID 104830, 9 p. (2021; Zbl 1454.93048) Full Text: DOI
Kharkovskaia, Tatiana; Efimov, Denis; Fridman, Emilia; Polyakov, Andrey; Richard, Jean-Pierre Interval observer design and control of uncertain non-homogeneous heat equations. (English) Zbl 1430.93080 Automatica 111, Article ID 108595, 11 p. (2020). MSC: 93B53 93C20 35K05 93D15 93D25 PDFBibTeX XMLCite \textit{T. Kharkovskaia} et al., Automatica 111, Article ID 108595, 11 p. (2020; Zbl 1430.93080) Full Text: DOI HAL
Espitia, Nicolás; Polyakov, Andrey; Efimov, Denis; Perruquetti, Wilfrid Boundary time-varying feedbacks for fixed-time stabilization of constant-parameter reaction-diffusion systems. (English) Zbl 1415.93201 Automatica 103, 398-407 (2019). MSC: 93D15 93C20 35K57 PDFBibTeX XMLCite \textit{N. Espitia} et al., Automatica 103, 398--407 (2019; Zbl 1415.93201) Full Text: DOI
Polyakov, Andrey; Efimov, Denis; Perruquetti, Wilfrid Finite-time and fixed-time stabilization: implicit Lyapunov function approach. (English) Zbl 1309.93135 Automatica 51, 332-340 (2015). MSC: 93D21 93D30 93B12 PDFBibTeX XMLCite \textit{A. Polyakov} et al., Automatica 51, 332--340 (2015; Zbl 1309.93135) Full Text: DOI HAL
Azhmyakov, Vadim; Polyakov, Andrey; Poznyak, Alex Consistent approximations and variational description of some classes of sliding mode control processes. (English) Zbl 1372.93051 J. Franklin Inst. 351, No. 4, 1964-1981 (2014). MSC: 93B12 37K05 PDFBibTeX XMLCite \textit{V. Azhmyakov} et al., J. Franklin Inst. 351, No. 4, 1964--1981 (2014; Zbl 1372.93051) Full Text: DOI HAL