Bertrand, Pierre; Broniatowski, Michel; Marcotorchino, Jean-François Minimization with respect to divergences and applications. (English) Zbl 07495283 Nielsen, Frank (ed.) et al., Geometric science of information. 5th international conference, GSI 2021, Paris, France, July 21–23, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12829, 818-828 (2021). MSC: 62B10 90C27 60E05 PDFBibTeX XMLCite \textit{P. Bertrand} et al., Lect. Notes Comput. Sci. 12829, 818--828 (2021; Zbl 07495283) Full Text: DOI HAL
Allam, Sébastien; Dufour, François; Bertrand, Pierre Discrete-time estimation of a Markov chain with marked point process observations. Application to Markovian jump filtering. (English) Zbl 1005.93045 IEEE Trans. Autom. Control 46, No. 6, 903-908 (2001). Reviewer: Vjatscheslav Vasiliev (Tomsk) MSC: 93E10 93E11 60J10 60J75 PDFBibTeX XMLCite \textit{S. Allam} et al., IEEE Trans. Autom. Control 46, No. 6, 903--908 (2001; Zbl 1005.93045) Full Text: DOI
Allam, Sébastien; Bertrand, Pierre; Dufour, François; Laneuville, Dann; Mariton, Michel; Yang, Chun Systems with jumps: Theory and applications. (Les systèmes à sauts: Théorie et application.) (French) Zbl 0991.93563 Trait. Signal 15, No. 6, 613-618 (1998). MSC: 93E11 60J75 PDFBibTeX XMLCite \textit{S. Allam} et al., Trait. Signal 15, No. 6, 613--618 (1998; Zbl 0991.93563)
Dufour, F.; Bertrand, P. An image-based filter for discrete-time Markovian jump linear systems. (English) Zbl 0843.93077 Automatica 32, No. 2, 241-247 (1996). MSC: 93E11 60J75 PDFBibTeX XMLCite \textit{F. Dufour} and \textit{P. Bertrand}, Automatica 32, No. 2, 241--247 (1996; Zbl 0843.93077) Full Text: DOI
Yang, Chun; Bertrand, P.; Mariton, M. Adaptive control in the presence of Markovian parameter jumps. (English) Zbl 0709.93083 Int. J. Control 52, No. 2, 473-484 (1990). MSC: 93E35 60J75 PDFBibTeX XMLCite \textit{C. Yang} et al., Int. J. Control 52, No. 2, 473--484 (1990; Zbl 0709.93083) Full Text: DOI
Bertrand, J.; Bertrand, P. Time-frequency representations of broad-band signals. (English) Zbl 0825.60028 Wavelets. Time-frequency methods and phase space, Proc. Int. Conf., Marseille/Fr. 1987, 164-171 (1989). MSC: 60G12 PDFBibTeX XMLCite \textit{J. Bertrand} and \textit{P. Bertrand}, in: Wavelets. Time-frequency methods and phase space, Proc. Int. Conf., Marseille/Fr. 1987, . 164--171 (1989; Zbl 0825.60028)
Mariton, M.; Bertrand, P. Towards a global approach to the design of reliable control systems. (English) Zbl 0649.93058 Large Scale Syst. 13, No. 3, 251-264 (1987). MSC: 93E10 90B25 93B50 62N05 93E20 60G35 93D15 PDFBibTeX XMLCite \textit{M. Mariton} and \textit{P. Bertrand}, Large Scale Syst. 13, No. 3, 251--264 (1987; Zbl 0649.93058)
Mariton, M.; Bertrand, P. Improved multiplex control systems: dynamic reliability and stochastic optimality. (English) Zbl 0598.93067 Int. J. Control 44, 219-234 (1986). Reviewer: A.Pervozvanskii MSC: 93E20 60J75 93C05 93E15 PDFBibTeX XMLCite \textit{M. Mariton} and \textit{P. Bertrand}, Int. J. Control 44, 219--234 (1986; Zbl 0598.93067) Full Text: DOI
Mariton, M.; Bertrand, P. A Ljapunov equation and suboptimal strategies for stochastic jump processes. (English) Zbl 0597.93068 Frequency domain and state space methods for linear systems, Sel. Pap. 7th Int. Symp. Math. Theory Networks Syst., Stockholm 1985, 291-296 (1986). MSC: 93E20 60J75 93C05 15A24 47A62 93B50 PDFBibTeX XML
Mariton, Michel; Bertrand, Pierre Comportement asymptotique de la commande pour les systèmes linéaires à sauts markoviens. (Asymptotic behavior of the control for linear systems with Markovian jumps). (French) Zbl 0585.93065 C. R. Acad. Sci., Paris, Sér. I 301, 683-686 (1985). Reviewer: Leslaw Socha (Katowice) MSC: 93E15 60J27 93C05 93D15 93E20 PDFBibTeX XMLCite \textit{M. Mariton} and \textit{P. Bertrand}, C. R. Acad. Sci., Paris, Sér. I 301, 683--686 (1985; Zbl 0585.93065)
Mariton, M.; Bertrand, P. Output feedback for a class of linear systems with stochastic jump parameters. (English) Zbl 0576.93069 IEEE Trans. Autom. Control 30, 898-900 (1985). Reviewer: G.Mazziotto MSC: 93E20 49K45 93C05 60J75 93E25 PDFBibTeX XMLCite \textit{M. Mariton} and \textit{P. Bertrand}, IEEE Trans. Autom. Control 30, 898--900 (1985; Zbl 0576.93069) Full Text: DOI
Bertrand, Pierre; Gaveau, Bernard Diffusion of a classical particle in a static random potential. (English) Zbl 0557.60063 Adv. Appl. Math. 5, 489-499 (1984). Reviewer: Y.Kifer MSC: 60J60 60H10 82D30 PDFBibTeX XMLCite \textit{P. Bertrand} and \textit{B. Gaveau}, Adv. Appl. Math. 5, 489--499 (1984; Zbl 0557.60063) Full Text: DOI
Blanc-Lapierre, André; Bertrand, Pierre Sur certains systèmes markoviens liés à des distributions de Poisson. (On certain Markov systems connected with Poisson destributions). (French) Zbl 0226.60102 C. R. Acad. Sci., Paris, Sér. A 273, 650-653 (1971). MSC: 60J85 92D15 PDFBibTeX XMLCite \textit{A. Blanc-Lapierre} and \textit{P. Bertrand}, C. R. Acad. Sci., Paris, Sér. A 273, 650--653 (1971; Zbl 0226.60102)