2022 – cmc.deusto.eus

A second-order difference equation with sign-alternating coefficients

M. Anđelić, C.M. da Fonseca, T. Koledin, Z. Stanić (2022) A second-order difference equation with sign-alternating coefficients, Kuwait Journal of Science, Vol. 50, No. 1, 10.48129/kjs.20425 Abstract. We provide an…

An extended eigenvalue-free interval for the eccentricity matrix of threshold graphs

M. Anđelić, C.M. da Fonseca, T. Koledin, Z. Stanić (2022) An extended eigenvalue-free interval for the eccentricity matrix of threshold graphs, Journal of Applied Mathematics and Computing 69 (2023) 491-503,…

A periodic determinantal property for (0,1) double banded matrices

Z. Du, C.M. da Fonseca (2022) A periodic determinantal property for (0,1) double banded matrices, Linear and Multilinear Algebra, Vol. 70, pp. 5316-5328, 10.1080/03081087.2021.1913980 Abstract. In this paper, we extend…

An identity involving derangement numbers and Bell numbers

Z. Du, C.M. da Fonseca (2022) An identity involving derangement numbers and Bell numbers, Applicable Analysis and Discrete Mathematics, Vol. 16, pp.485-494, 10.2298/AADM200705018D Abstract. The aim of this paper is…

On tridiagonal matrices associated with Jordan blocks

C.M. da Fonseca, V. Kowalenko (2022) On tridiagonal matrices associated with Jordan blocks, Acta Universitatis Sapientiae, Mathematica, Vol. 14, pp.61-74, 10.2478/ausm-2022-0004 Abstract. This paper aims to show how some standard…

A Sylvester-Kac matrix type and the Laplacian controllability of half graphs

M. Anđelić, C.M. da Fonseca, E. Kılıç, Z. Stanic (2022) New strong divisibility sequences, Electronic Journal of Linear Algebra, Vol. 38, pp. 559-571, 10.13001/ela.2022.6947 Abstract. In this paper, we provide…

New strong divisibility sequences

Z. Du, C.M. da Fonseca, D. Dimitrov (2022) New strong divisibility sequences, Ars Mathematica Contemporanea, Vol. 22, P1.08, 10.26493/1855-3974.2473.f2e Abstract. We provide new families of divisibility and strong divisibility sequences…

The bi-periodic Horadam sequence and some perturbed tridiagonal 2-Toeplitz matrices: A unified approach

Milica Anđelić, C.M. da Fonseca, Fatih Yılmaz (2022) Determinantal representations for the number of subsequences without isolated odd terms, Heliyon, Vol. 8, E08863, 10.1016/j.heliyon.2022.e08863 Abstract. In this note we consider…

Multilevel Selective Harmonic Modulation via Optimal Control

U. Biccari, C. Esteve-Yagüe, D.J. Oroya-Villalta (2022) Multilevel Selective Harmonic Modulation via Optimal Control., Appl Math Optim, Vol. 86, No. 43, https://doi.org/10.1007/s00245-022-09917-5 Abstract. We consider the Selective Harmonic Modulation (SHM) problem,…

Multilevel selective harmonic modulation by duality

U. Biccari, E. Zuazua Multilevel selective harmonic modulation by duality (2022) IFAC-PapersOnLine, Vol. 55, No. 16, pp. 56-61, https://doi.org/10.1016/j.ifacol.2022.08.081. Abstract. We address the Selective Harmonic Modulation (SHM) problem in power…

Optimal actuator design via Brunovsky’s normal form

B. Geshkovski, E. Zuazua (2022) Optimal actuator design via Brunovsky's normal form, IEEE Automatic Control, Vol. 26, No. 12, DOI: 10.1109/TAC.2022.3181222 Abstract: In this paper, by using the Brunovsky normal…

Differentiability with respect to the initial condition for Hamilton-Jacobi equations

C. Esteve, E. Zuazua. Differentiability with respect to the initial condition for Hamilton-Jacobi equations (2022) SIAM Journal on Mathematical Analysis, Vol. 54, No. 5, pp. 5388-5423 https://doi.org/10.1137/22M1469353 Abstract. We prove…

Control of certain parabolic models from biology and social sciences

Domènec Ruiz-Balet, , Enrique Zuazua. Control of certain parabolic models from biology and social sciences(2022) Math Control and Related Fields, Vol. 12, No. 4, pp 955-1038. doi: https://doi.org/10.3934/mcrf.2022032 Abstract. These…

Relaxation approximation and asymptotic stability of stratified solutions to the IPM equation

R. Bianchini, Crin-Barat T., M. Paicu. Relaxation approximation and asymptotic stability of stratified solutions to the IPM equation (2022) Abstract. We prove the nonlinear asymptotic stability of stably stratified solutions…

Spectral inequalities for elliptic pseudo-differential operators on closed manifolds

D. Cardona. Spectral inequalities for elliptic pseudo-differential operators on closed manifolds (2022) Abstract. Let be a closed Riemannian manifold. The aim of this work is to prove the Lebeau-Robbiano spectral…

Control and Machine Learning

Zuazua E. Control and Machine Learning (2022) News journal of the Society for Industrial and Applied Mathematics , Vol. 55, No. 8 Abstract. There are two recurring questions arising when…

Diffusive Relaxation Limit of the Multi-Dimensional Hyperbolic Jin-Xin System

Crin-Barat T., L. Shou. Diffusive Relaxation Limit of the Multi-Dimensional Hyperbolic Jin-Xin System (2022) Abstract. In this paper we study the diffusive relaxation limit of the Jin-Xin system toward viscous…

Controllability and Positivity Constraints in Population Dynamics with age, size Structuring and Diffusion

Y. Simporé, U. Biccari (2022) Controllability and Positivity Constraints in Population Dynamics with age, size Structuring and Diffusion Abstract. In this article, we consider the infinite dimensional linear control system…

Null Controllability for a Degenerate Structured Population Model

Y. Simporé, Y. El gantouh, U. Biccari (2022) Null Controllability for a Degenerate Structured Population Model Abstract. In this paper, we consider the infinite dimensional linear control system describing population…

Turnpike in Optimal Control PDES, ResNets, and beyond

B. Geshkovski, E. Zuazua, Turnpike in Optimal Control PDES, ResNets and beyond (2022) Acta Numer., Vol. 31, pp. 135-263. doi:10.1017/S0962492922000046 Abstract: The turnpike property in contemporary macroeconomics asserts that if…

Preface- Control and Analysis of Partial Differential Equations

Nicolae Cîndea, Günter Leugering, Jëróme Lohêac, Sorin Micu, Kirsten Morris, Takeo Takahashi and Enrique Zuazua. Preface- Control and Analysis of Partial Differential Equations, Marius Tucsbak 60th Anniversary Volume (2022) Math.…

A framework for randomized time-splitting in linear-quadratic optimal control

D.W.M. Veldman, E. Zuazua (2022) A framework for randomized time-splitting in linear-quadratic optimal control Numerische Mathematik, Vol. 151, No. 2, DOI: 10.1007/s00211-022-01290-3 Abstract. Inspired by the successes of stochastic algorithms in…

Nonuniqueness of minimizers for semilinear optimal control problems

D. Pighin. Nonuniqueness of minimizers for semilinear optimal control problems (2022) J. Eur. Math. Soc, , published online first. https://doi.org/10.4171/jems/1232 Abstract. A counterexample to uniqueness of global minimizers of semilinear…

The turnpike property and the longtime behavior of the Hamilton-Jacobi-Bellman equation for finite-dimensional LQ control problems

C. Esteve, H. Kouhkouh, D. Pighin, E. Zuazua. The turnpike property and the long-time behavior of the Hamilton-Jacobi-Bellman equation for finite-dimensional LQ control problems. Math. Control Signals Syst. (2022). https://doi.org/10.1007/s00498-022-00325-2 Abstract:…

Numerical Control: Part A

Emmanuel Trélat, Enrique Zuazua. Numerical Control: Part A First Edition (2022), Elsevier Science & Technology. Handbook of Numerical Analysis XXIII, Vol. 23, p. 1-558, eBook ISBN: 9780323853392, Hardcover ISBN: 9780323850599…

Interpolation and approximation via Momentum ResNets and Neural ODEs

Domènec Ruiz-Balet, Elisa Affili , Enrique Zuazua. Interpolation and approximation via Momentum ResNets and Neural ODEs IEEE Control Syst. Lett. (2022) Vol. 162, ISSN 0167-6911, https://doi.org/10.1016/j.sysconle.2022.105182 Abstract. In this article,…

Linear projection-based CEST parameter estimation

F. Glang, Moritz Fabian, A. German, Katrin M Khakzar, A. Mennecke, A. Liebert, K. Herz, P. Liebig, B. Kasper, Manuel Schmidt, E. Zuazua, A. Nagel, F. Laun, A. Dörfler, K.…

Turnpike in Lipschitz-nonlinear optimal control

Esteve C., Geshkovski G., Pighin D., Zuazua E. . Turnpike in Lipschitz-nonlinear optimal control Nonlinearity. Vol 5. No. 34, pp. 1652-1701 (2022) https://doi.org/10.1088/1361-6544/ac4e61 Abstract. We present a new proof of…

The Vlasov-Fokker-Planck Equation with High Dimensional Parametric Forcing Term

Shi Jin, Yuhua Zhu, Enrique Zuazua. The Vlasov-Fokker-Planck Equation with High Dimensional Parametric Forcing Term Numer. Math. 150, 479–519 (2022). https://doi.org/10.1007/s00211-021-01257-w Abstract. We consider the Vlasov-Fokker-Planck equation with random electric…

Control and Numerical approximation of Fractional Diffusion Equations

Umberto Biccari, Mahamadi Warma, Enrique Zuazua. Control and Numerical approximation of Fractional Diffusion Equations (2022) Handb. Numer. Anal. Elsevier. ISSN:1570-8659, DOI: https://doi.org/10.1016/bs.hna.2021.12.001 Abstract. The aim of this work is to give…