Pavel Brunovský

Vedecké práce

[1] P. Brunovský: O zovšeobecnených algebrických systémoch. Acta Facultatis Rerum Naturalium Universitatis Comeniana: Mathematica, Vol. 3, 1958 S. 41-54.

[2] P. Brunovský: O určovaní tlmenia z grafu. Strojnícky Časopis, Roč. 11 (1961), s. 194-200.

[3] P. Brunovský: O Emdenovej-Fowlerovej rovnici v prípade n<1. Matematicko-fyzikálny Časopis SAV, Roč. 12, č. 1 (1962), s. 60-80.

[4] P. Brunovský: A condition of the existence of a universal best e-stabilizing control. Czechoslovak Mathematical Journal, Vol. 15, No. 3 (1965), s. 370-377.

[5] P. Brunovský: Ob analitičeskom konstruktirovanii reguľatorov s nekvadratičeskim minimizirujemym funkcionaľom. Časopis pro pěstování matematiky, Roč. 90, č. 3 (1965), s. 290-310.

[6] P. Brunovský: On the best stabilizing control under a given class of perbutations. Czechoslovak Mathematical Journal, Vol. 15, No. 3 (1965), s. 329-369.

[7] P. Brunovský: A bang-bang principle in the problem of e-stabilization of linear control systems. Časopis pro pěstování matematiky, Roč. 91, č. 3 (1966), s. 344-351.

[8] P. Brunovský: O stabilizacii linejnych sistem pri opredelennom klasse postojanno dejstvujuščich vozmučšenij. Differenciaľnye Uravnenia, Vol. 2 (1966), s. 769-777.

[9] P. Brunovský: On the stabilization of linear systems under persitent perturbations. 3rd Congress of International Federation of Automatic Control (IFAC): Proceedings, London: Butterwoths, 1966 40G, S. 10.

[10] P. Brunovský: Über das schnellste Suchen eines Punktes auf einer Linie. Matematicko-fyzikálny Časopis SAV, Roč. 16 (1966), s. 97-104.

[11] P. Brunovský: On optimal stabilization of nonlinear systems. Mathematical Theory of Control, London: Academic Press, 1967 S. 180-189.

[12] P. Brunovský: On optimal stabilization of periodic motions. 4th Conference on Nonlinear Oscilation, Praha: Academia, 1968 S. 127-130.

[13] P. Brunovský: On the necessity of a certain convexity condition for lower closure of control problems. SIAM Journal on Control and Optimization, Vol. 6, No. 2 (1968), s. 174-185.

[14] P. Brunovský: On the optimal stabilization of nonlinear system. Czechoslovak Mathematical Journal, Vol. 18 (1968), s. 278-293.

[15] P. Brunovský: Controllability and closed-loop linear controls in linear periodic system. Journal of Differential Equations, Vol. 6, No. 2 (1969), s. 296-313.

[16] P. Brunovský: A classification of linear controllable systems. Kybernetika, Vol. 6, No. 3 (1970), s. 173-188.

[17] P. Brunovský: On one-parameter families of diffeomorphisms. Commentationes Mathematicae Universitatis Carolinae, Vol. 11, No. 3 (1970), s. 559-582.

[18] P. Brunovský: Scorza-Dragoni’s theorem for set-valued functions with unbouded values and its applications to control problems. Matematický Časopis SAV, Roč. 20, č. 3 (1970), s. 205-214.

[19] P. Brunovský: The existence of the best stabilizing control in higher dimensions. Mathematical Systems Theory, Vol. 4, No. 1 (1970), s. 1-5.

[20] P. Brunovský: A concept of invariance and attractivity for multivalued differential equations. Differential Games and Related Topics, Amsterdam: North-Holland, 1971 S. 201-208.

[21] P. Brunovský: On one-parameter families of diffeomorphisms II: Generic branching in higher dimensions. Commentationes Mathematicae Universitatis Carolinae, Vol. 12, No. 4 (1971), s. 765-784.

[22] P. Brunovský: One-parameter families of diffeomorphisms. Symposium on Differential Equations and Dynamical Systems, New York: Springer, 1971 S. 29-33.

[23] P. Brunovský: Reprezentácia zobrazenia vstup-výstup pomocou dynamického systému s lineárnou dynamikou. Kybernetické aspekty problémov identifikácie, Bratislava: UTK SAV, 1971 S. 85-90.

[24] P. Brunovský, Y. Alekal, Dong H. Chyung, E. B. Lee: The quadraic problem for systems with time delays. IEEE Transactions on Automatic Control, Vol. 16, No. 6 (1971), s. 673-687.

[25] P. Brunovský: Generic one-parameter flows on the torus and bifurcation of periodic orbits. EQUADIFF 3: Proceedings, Brno: J. E. Purkyně University, 1973 S. 99-104.

[26] P. Brunovský, J. Černý: A note on information without probability. Information and Control (Shenyang), Vol. 25 (1974), s. 134-144.

[27] P. Brunovský: Generic properties of the rotation number of one - parameter diffeomorphisms of the circle. Czechoslovak Mathematical Journal, Vol. 24, No. 1 (1974), s. 74-90.

[28] P. Brunovský: On the completion of linear differential games by state-dependent strategies. Kybernetika, Vol. 10, No. 1 (1974), s. 1-12.

[29] P. Brunovský: The closed-loop time-optimal control I: Optimality. SIAM Journal on Control and Optimization, Vol. 12, No. 4 (1974), s. 624-634.

[30] P. Brunovský, S. Mirica: Classical and Fillipov solutions of the differential equations defined by feedback control. Revue Roumaine de Mathématiques Pures et Appliquées, Vol. 20 (1975), s. 873-883.

[31] P. Brunovský, C. Lobry: Controlabilité bang-bang, controlabilité differentiable et perturbations des system non-linéaires. Annali di Matematica Pura ed Applicata, Vol. 105, No. 1 (1975), s. 93-119.

[32] P. Brunovský, A. Brunovská, J. Ilavský: Identifikácia difúzneho koeficienta. Sympózium SKS o aplikáciách teoretických princípov kybernetiky, Bratislava: ÚTK SAV, 1976 S. 478-484.

[33] P. Brunovský: Local controllability of odd systems. Mathematical Control Theory, Warszawa: PWN, 1976 S. 39-46.

[34] P. Brunovský, J. Černý: Matematická teória systémov-mýty a skutočnos. Sympózium SKS o aplikáciách teoretických princípov kybernetiky: Zborník, Bratislava: ÚTK SAV, 1976 S. 1-32.

[35] P. Brunovský: Stavová teória nelineárnych systémov. Zborník konferencie SVTS o ASRTP, Banská Bystrica: SVTS, 1976 S. 22-25.

[36] P. Brunovský: The closed-loop time-optimal control II: Stability. SIAM Journal on Control and Optimization, Vol. 14, No. 1 (1976), s. 156-162.

[37] P. Brunovský, A. Brunovská, J. Ilavský: Estimation of the diffusion coefficient from sorbtion measurements. Chemické listy, Roč. 32 (1977), s. 717-722.

[38] P. Brunovský: Every normal linear system has a regular time-optimal synthesis. Mathematica Slovaca, Vol. 28, No. 1 (1978), s. 81-100.

[39] P. Brunovský, A. Brunovská: Optimal temperature control of a stirred adsorber. Chem. Eng. Sci, Vol. 34 (1979), s. 379-386.

[40] P. Brunovský, J. Ilavský, J, Valtýni, J. Vanko: Optimalizácia ohrevu polymerizačného reaktora. Chem. Prumysl 29/54 (1979), 119-124.

[41] P. Brunovský: Existence of regular synthesis for general control problems. Journal of Differential Equations, Vol. 38, No. 3 (1980), s. 317-343.

[42] P. Brunovský: On the structure of optimal feedback systems. Proceedings of the International Congress of Mathematicians, Helsinki 1978, Helsinki: Academia Scientarium Fennica, 1980 S. 842-846.

[43] P. Brunovský: Regular synthesis and singular extremals. Optimization Techniques: Proceedings, Vol. 1, Berlin: Springer, 1980 S. 280-284.

[44] P. Brunovský: Regular synthesis for the linear quadratic optimal control problem with linear control constraints. Journal of Differential Equations, Vol. 38, No. 3 (1980), s. 344-360.

[45] P. Brunovský, I. Ilavský, M. Králik: Constructing models of flow chemical technology systems by realization theory. Chemical papers - Chemické zvesti, Vol. 35, No. 3 (1981), s. 298-312.

[46] P. Brunovský, J. Komorník: The Riccati equation solution on the linear-Quadratic problem with constrained terminal state. IEEE Transactions on Automatic Control, Vol. 26, No. 2 (1981), s. 398-402.

[47] P. Brunovský, J. Komorník, V. Varhola: Adaptívny algoritmus riadenia bieliacej linky. ASRTP 82: Zborník prednášok z 5. celoštátnej konferencie, Žilina: čSVTS, 1982 S. 126-176.

[48] P. Brunovský, P. Mederly, H. Mederlyová, P. Meravý: Dynamický model vodovodnej siete pre ASR vodárenskej prevádzky. ASRTP 82: Zborník prednášok z 5. celoštátnej konferencie, Žilina: čSVTS, 1982 S. 335-342.

[49] P. Brunovský, A. Brunovská: Optimal temperatures for the periodic steady state for a cascade of stirred adsorbers. Collection of Czechoslovak Chemical Communications, Vol. 47 (1982), s. 899-900.

[50] P. Brunovský, M. Otto, M. Šnejdárková, A. Ottová-Leitmannová, J. Gažo: Model of arginine dynamics in the Japanese quail 2: Development and application of a mathematical model of argnine dynamics. Nutrition Reports International, Vol. 28 (1983), s. 761-771.

 [51] P. Brunovský: Notes on chaos in the cell population partial differential equation. Nonlinear Analysis-Theory, Methods & Applications, Vol. 7, No. 2 (1983), s. 167-176.

[52] P. Brunovský, J. Komorník: The matrix Riccati equation and the noncontrollabe linear-quadratic problem with terminal constraints. SIAM Journal on Control and Optimization, Vol. 21, No. 2 (1983), s. 280-288.

[53] P. Brunovský, P. Mederly, H. Mederlyová, P. Meravý: DYNMOD-Program pre dynamické modelovanie vodovodnej siete. Vodní hospodářství, Roč. 34, č. 8, (1984), s. 201-204.

[54] P. Brunovský, J. Komorník : Ergodicity and exactness of the shift on C[0,1] and the dynamics of a first order partial differential equation. Journal of Mathematical Analysis and Applications, Vol. 104, No. 1 (1984), s. 235-245.

[55] P. Brunovský, Shui-Nee Chow: Generic properties of stationary state solutions of reaction-diffusion equations. Journal of Differential Equations, Vol. 53, No. 1 (1984), s. 1-23.

[56] P. Brunovský, J. L. Willems, V. Kučera: On the assigment of invariant factor by time varying feedback strategies. System & Control Letters, Vol. 5, No. 2 (1984), s. 75-80.

[57] P. Brunovský, P. Meravý: Solving systems of polynomial equations by bounded and real homotopy. Numerische Mathematik, Vol. 43, No. 3 (1984), s. 397-418.

[58] P. Brunovský, P. Meravý: Optimizing the cost of water pipeline lying. Mathematical Methods in Operation Research, Sofia: University, 1985 S. 1-12.

[59] P. Brunovský, J. Mallet-Paret: Switchings of optimal controls and the equation y''''+|y|^a=0$, 0<a <1. Časopis pro pěstování matematiky, Roč. 110, č. 3 (1985), s. 302-313.

[60] P. Brunovský, J. Komorník: Explicit definition of an exact measure for the semiflow of a first order partial differential equation. Časopis pro pěstování matematiky, Roč. 111, č. 1 (1986), s. 48-53.

[61] P. Brunovský, B. Fiedler: Connections in scalar reaction-diffusion equations with Neumann boundary conditions. In: Springer Lecture Notes in Math. Vol 1192 (1986), 123-128.

[62] A. Brunovská, P. Brunovský, J. Markoš, B. Remiarová: Optimalizácia tepelného režimu adiabatického reaktora. Ropa a uhlie 28(1986), 275-282.

[63] P. Brunovský, B. Fiedler: Numbers of zeros on invariant manifolds in reaction- diffusion equations. Nonlinear Analysis-Theory, Methods & Applications, Vol. 10, No. 2 (1986), s. 179-193.

[64] P. Brunovský, B. Fiedler: Simplicity of zeros in scalar parabolic equations. Journal of Differential Equations, Vol. 62, No. 2 (1986), s. 237-241.

[65] P. Brunovský, J. Komorník: Dynamics of a first order PDE modelling a self-reproducing cell population. Dynamical Systems and Enviromental Models, Berlin: Academia Verlag, 1987 S. 207-214.

[66] P. Brunovský, P. Poláčik: Generic hyperbolicity for reaction - diffusion equations on symmetric domains. Zeitschrift für Angewandte Mathematik und Physik, Vol. 38, No. 2 (1987), s. 172-183.

[67] P. Brunovský, B. Fiedler: Heteroclinic connections of stationary solutions of scalar reaction-diffusion equations. Partial Differential Equations, Warsaw: Stefan Banach International Mathematical Center, 1987 S. 39-47.

[68] P. Brunovský, T. Kmeť: The nitrogen transformation cycle in water. Dynamical Systems and Enviromental Models, Berlin: Academia Verlag, 1987 S. 132-138.

[69] P. Brunovský, B. Fiedler: Connecting orbits in scalar reaction-diffusion equations. Dynamics Reported: Expositions in Dynamical Systems, Vol. 1 (1988), s. 57-89.

[70] P. Brunovský, B. Fiedler: Connecting orbits in scalar reaction diffusion equations II: the complete solution. Journal of Differential Equations, Vol. 81, No. 1 (1989), s. 106-135.

[71] P. Brunovský, A. Brunovská, M. Morbidelli: Optimal catalyst pellet activity distributions for deactivating systems. Chem. Eng. Sci., Vol. 45, Nr. 4 (1990), s. 917-925.

[72] P. Brunovský: The attractor of the scalar reaction-diffusion equation in a smooth graph. Journal of Dynamics and Differential Equations, Vol. 2, No. 3 (1989), s. 293-323.

[73] P. Brunovský: The maximal attractor of the scalar reaction-diffusion equation. Differential Equations, New York: Dekker, 1989 S. 93-98.

[74] P. Poláčik, P. Brunovský, X. Mora, J. Sola-Morales: Asymptotic behavior of semilinear elliptic equations on an unbounded strip. Acta Mathematica Universitatis Comenianae-New Series, 60 (1991) 2 163-184.

[75] P. Brunovský: Controlling the dynamics of scalar reaction diffusion equations by finite dimensional controllers. Modelling and Inverse Problems of Control for Distributed Parameters Systems, Berlin: Springer 154 (1991) 372-375.

[76] P. Brunovský, I. Tereščák: Regularity of invariant manifolds. Journal of Dynamics and Differential Equations, 3 (1991) 3 313-338.

[77] P. Brunovský, P. Poláčik, B. Sandstede: Convergence in general periodic parabolic equations in one space dimension. Nonlinear Analysis-Theory, Methods & Applications, Vol. 18, No. 3 (1992), s. 209-215.

[78] P. Brunovský, M. Kubala: A note on continuation algorithmus for periodic orbits. Differential Equations, Dynamical Systems, and Control Science. A Festschrift in Honor of Lawrence Markus, New York: M. Dekker, 1994 S. 15-20.

[79] P. Brunovský: Controlling nonuniqueness of local invariant manifolds. Journal für die reine und angewandte Mathematik, Vol. 446, (1994), p. 115-135.

[80] P. Brunovský, D. Ševčovič: Explanation of spurt for a non-Newtonian fluid by a diffusion term. Quarterly of Applied Mathematics, Vol. 52, No. 3 (1994), s. 401-426.

[81] P. Brunovský: Tracking invariant manifolds without differential forms. Acta Mathematica Universitatis Comenianae-New Series, Vol. 65, No. 1, (1996), p. 23-32.

[82] P. Brunovský, P. Poláčik: On the local structure of omega-limit sets of maps. Zeitschrift für Angewandte Mathematik und Physik, 48 (1997) 976-986.

[83] P. Brunovský, P. Poláčik: The Morse-Smale structure of a generic reaction-diffusion equation in higher space dimension. Journal of Differential Equations, Vol. 135, No. 1 (1997), s. 129-181.

[84] P. Brunovský: S-shaped bifurcation of singulary perturbed boundary value problem. Journal of Differential Equations, Vol. 145, No. 1 (1998), s. 52-100.

[85] T. Nagylaki, J. Hofbauer, P. Brunovský: Convergence of multilocus systems under weak epistasis of weak selection. J Math Biology, 38 (1999) 103-133.

[86] P. Brunovský: C^r-Inclination theorems for singulary perturbed equations. Journal of Differential Equations, Vol. 155, No. 1 (1999), s. 133-152.

[87] D. Ševčovič, M. Halická, P. Brunovský: DEA analysis for a large structured bank branch network. Central European Journal of Operations Research, Vol. 9, No. 4 (2001), s. 329-342.

[88] P. Brunovský, G. Raugel: Genericity of the Morse-Smale property for damped wave equations. Journal of Dynamics and Diffierential Equations, Vol. 15, No. 2/3 (2003), p. 571-658.

[89] P. Brunovský, A. Edélyi, H.-O. Walther: On a model of a currency exchange rate-local stability and periodic solutions. Journal of Dynamics and Differential Equations, Vol. 16, No. 2 (2004), s. 401-440.

[90] P. Brunovský: Riešiteľnosť systémov rovníc CGE modelov. Teoretické a metodologické problémy modelov vypočítateľnej všeobecnej ekonomickej rovnováhy: Zborník prác z riešenia úlohy APVT-20-039902, Bratislava: Univerzita Komenského-FMFI, 2007 S. 11-14, 55-60.

[91] P. Brunovský: The commons game. Ekonomický Časopis, Roč. 55, č. 8 (2007), s. 811-814.

[92] P. Brunovský, M. Lapin, I. Melicherčík, J. Somorčík, D. Ševčovič: Risks due to variability of K-day extreme precipitation totals and other K-day extreme events. Journal of Hydrology and Hydromechanics, Vol. 57, No. 4 (2009), s. 250-263.

[93] P. Brunovský, D. Ševčovič, J. Somorčík, D. Hroncová, K. Pospišilová: Socio-economic impacts of pandemic influenza mitigation scenarios in Slovakia. Ekonomický Časopis, Roč. 57, č. 2 (2009), s. 163-178.

[94] P. Brunovský, A. Černý, M. Winkler: A singular differential equation stemming from an optimal control problem in financial economics. Applied Mathematics and Optimization, Vol. 68, No. 2 (2013), s. 255-274.

 

[95] P. Brunovský, M. Zákopčan: Equilibria and stable paths in infinite horizon nonlinear control problems: the linear-quadratic approximation, AMUC 84(1) (2015).

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[96] S. Horkovics-Kovats, P. Brunovský, A. Pichler, Arthur, J. Bulitta: Population data analysis of dissolution time profiles: Assessment of physicochemical properties of the drug, drug particles and the pharmaceutical formulation, European Journal of Pharmaceutical Sciences. - Vol. 78 (2015), s. 245-254

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[97] S. Kilianová,P. Brunovský: Očkovanie versus spomaľovanie šírenia nákazy prípad chrípky. In: Aktuálne problémy verejného zdravotníctva vo výskume a praxi, Martin, Jesseniova lekárska fakulta UK, 2015. - ISBN 978-80-971836-6-0. - pp. 69-75

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[98] P.Brunovský, M. Holecyová: Optimal control, dichotomy, and closed range, SIAM Journal on Control and Optimization. - Roč. 56, č. 2 (2018), s. 633-648

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[99] P. Brunovský, A. Černý, J. Komadel: Optimal trade execution under endogenous pressure to liquidate: Theory and numerical solutions European Journal of Operational Research. - Roč. 264, č. 3 (2018), s. 1159-1171

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[100] P. Brunovský, M. Halická, M. Mitas: The deterministic optimal liquidation problem, Control Systems and Mathematical Methods in Economics. Springer International Publishing AG, 2018. - S. 267-278 ISSN 0075-8442-687

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