{"id":52269,"date":"2026-01-07T20:31:29","date_gmt":"2026-01-07T19:31:29","guid":{"rendered":"https:\/\/www.mathos.unios.hr\/opt-pedestal\/"},"modified":"2026-03-09T12:49:05","modified_gmt":"2026-03-09T11:49:05","slug":"opt-pedestal","status":"publish","type":"page","link":"https:\/\/www.mathos.unios.hr\/en\/opt-pedestal\/","title":{"rendered":"Optimization of parameter-dependent systems with applications (OPT-PEDESTAL)"},"content":{"rendered":"\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"496\" height=\"369\" src=\"https:\/\/www.mathos.unios.hr\/wp-content\/uploads\/2026\/01\/Hinfsurf.jpg\" alt=\"\" class=\"wp-image-51850\" srcset=\"https:\/\/www.mathos.unios.hr\/wp-content\/uploads\/2026\/01\/Hinfsurf.jpg 496w, https:\/\/www.mathos.unios.hr\/wp-content\/uploads\/2026\/01\/Hinfsurf-300x223.jpg 300w\" sizes=\"auto, (max-width: 496px) 100vw, 496px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"informacije\">Main information<\/h2>\n\n\n\n<p><strong>Project ID<\/strong>: IP-2025-02-4862<\/p>\n\n\n\n<p><strong>Summary<\/strong><br> Parameter-dependent systems play a crucial role in various research fields, including mathematics, engineering, and physics, as they arise in applications involving parameter analysis and optimization. This project examines systems with structured parameter variations, emphasizing damping optimization in partial and ordinary differential equations (PDEs and ODEs). It also explores Model Order Reduction (MOR) methods to enhance the efficiency of parameter analysis in structured parametric systems. A primary application is damping optimization, where parameters govern both the damping position (geometry) and viscosity. Another key application comes from nuclear physics, where we will study nuclear two-body scattering using the radial Schr\u00f6dinger equation and similarity renormalization group flow equations. To enhance efficiency, we will apply Model Order Reduction (MOR) methods to analyze system dynamics, optimize parameters, and apply the results to significant real-world applications such as those stated above. This project aims to develop new models and accelerate the calculation of various damping optimization criteria in real-world applications. Our approach integrates innovative theoretical insights to ensure faster convergence and more precise evaluations of objective functions. This research focuses on four key topics: i) Damping optimization at the PDE level, ii) Damping optimization for LTI systems, iii) MOR for parameter-dependent systems, and iv) MOR approaches in practical applications. Our work will introduce novel modeling perspectives and methodologies that rival existing techniques, and thus further advancing the field. This research is crucial for efficient parameter analysis in structured parametric systems. Additionally, this research will integrate cutting-edge numerical computations, leveraging the synergy between new theoretical insights and structured MOR techniques to enhance computational efficiency.<\/p>\n\n\n\n<p><strong>Project duration:<\/strong> 01.12.2025. &#8211; 30.11.2028.<\/p>\n\n\n\n<p><strong>Research topics:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>i) Damping optimization on the PDE level<\/strong><\/li>\n\n\n\n<li><strong>ii) Damping optimization considering LTI systems<\/strong> <\/li>\n\n\n\n<li><strong>iii) Model order reduction for parameter-dependent systems<\/strong><\/li>\n\n\n\n<li><strong>iii) Model order reduction approaches in applications<\/strong><\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"publikacije\">Publications <\/h2>\n\n\n\n<ol class=\"wp-block-list\"><\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>J. Przybilla, <strong>M. Ugrica Vukojevi\u0107<\/strong>, N. Truhar, P. Benner, <em>An adaptive scheme for the optimization of damping positions by decoupling controllability spaces in vibrational systems<\/em>, Z Angew Math Mech. 106, e70353 (2026). https:\/\/doi.org\/10.1002\/zamm.70353<\/li>\n\n\n\n<li><strong>P. Mlinari\u0107, S. Gugercin; Z. Tomljanovi\u0107<\/strong>, Optimal Damping for the 1D Wave Equation Using a Single Damper, manuscript submitted for publication<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"konferencije\">Conferences<\/h2>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"mobilnost\">Dissemination<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>tbd<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"novosti\">News<\/h2>\n\n\n\n<p>Fully supported by<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<div class=\"wp-block-group c-nav--sub u-mb--sml--10\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\"><nav class=\"is-responsive  is-vertical c-nav--sub u-mb--sml--10 wp-block-navigation is-layout-flex wp-container-core-navigation-is-layout-8cf370e7 wp-block-navigation-is-layout-flex\" aria-label=\"Menu\" \n\t\t data-wp-interactive=\"core\/navigation\" data-wp-context='{\"overlayOpenedBy\":{\"click\":false,\"hover\":false,\"focus\":false},\"type\":\"overlay\",\"roleAttribute\":\"\",\"ariaLabel\":\"Menu\"}'><button aria-haspopup=\"dialog\" aria-label=\"Open menu\" class=\"wp-block-navigation__responsive-container-open\" \n\t\t\t\tdata-wp-on--click=\"actions.openMenuOnClick\"\n\t\t\t\tdata-wp-on--keydown=\"actions.handleMenuKeydown\"\n\t\t\t><svg width=\"24\" height=\"24\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 24 24\" aria-hidden=\"true\" focusable=\"false\"><path d=\"M4 7.5h16v1.5H4z\"><\/path><path d=\"M4 15h16v1.5H4z\"><\/path><\/svg><\/button>\n\t\t\t\t<div class=\"wp-block-navigation__responsive-container\"  id=\"modal-1\" \n\t\t\t\tdata-wp-class--has-modal-open=\"state.isMenuOpen\"\n\t\t\t\tdata-wp-class--is-menu-open=\"state.isMenuOpen\"\n\t\t\t\tdata-wp-watch=\"callbacks.initMenu\"\n\t\t\t\tdata-wp-on--keydown=\"actions.handleMenuKeydown\"\n\t\t\t\tdata-wp-on--focusout=\"actions.handleMenuFocusout\"\n\t\t\t\ttabindex=\"-1\"\n\t\t\t>\n\t\t\t\t\t<div class=\"wp-block-navigation__responsive-close\" tabindex=\"-1\">\n\t\t\t\t\t\t<div class=\"wp-block-navigation__responsive-dialog\" \n\t\t\t\tdata-wp-bind--aria-modal=\"state.ariaModal\"\n\t\t\t\tdata-wp-bind--aria-label=\"state.ariaLabel\"\n\t\t\t\tdata-wp-bind--role=\"state.roleAttribute\"\n\t\t\t>\n\t\t\t\t\t\t\t<button aria-label=\"Close menu\" class=\"wp-block-navigation__responsive-container-close\" \n\t\t\t\tdata-wp-on--click=\"actions.closeMenuOnClick\"\n\t\t\t><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 24 24\" width=\"24\" height=\"24\" aria-hidden=\"true\" focusable=\"false\"><path d=\"m13.06 12 6.47-6.47-1.06-1.06L12 10.94 5.53 4.47 4.47 5.53 10.94 12l-6.47 6.47 1.06 1.06L12 13.06l6.47 6.47 1.06-1.06L13.06 12Z\"><\/path><\/svg><\/button>\n\t\t\t\t\t\t\t<div class=\"wp-block-navigation__responsive-container-content\" \n\t\t\t\tdata-wp-watch=\"callbacks.focusFirstElement\"\n\t\t\t id=\"modal-1-content\">\n\t\t\t\t\t\t\t\t<ul class=\"wp-block-navigation__container is-responsive  is-vertical c-nav--sub u-mb--sml--10 wp-block-navigation\"><li class=\" wp-block-navigation-item wp-block-navigation-link\"><a class=\"wp-block-navigation-item__content\"  href=\"#informacije\"><span class=\"wp-block-navigation-item__label\">Main information<\/span><\/a><\/li><li class=\" wp-block-navigation-item wp-block-navigation-link\"><a class=\"wp-block-navigation-item__content\"  href=\"#publikacije\"><span class=\"wp-block-navigation-item__label\">Publications<\/span><\/a><\/li><li class=\" wp-block-navigation-item wp-block-navigation-link\"><a class=\"wp-block-navigation-item__content\"  href=\"#konferencije\"><span class=\"wp-block-navigation-item__label\">Conferences<\/span><\/a><\/li><li class=\" wp-block-navigation-item wp-block-navigation-link\"><a class=\"wp-block-navigation-item__content\"  href=\"#mobilnost\"><span class=\"wp-block-navigation-item__label\">Dissemination<\/span><\/a><\/li><li class=\" wp-block-navigation-item wp-block-navigation-link\"><a class=\"wp-block-navigation-item__content\"  href=\"#novosti\"><span class=\"wp-block-navigation-item__label\">News<\/span><\/a><\/li><\/ul>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><\/nav>\n\n\n<section id=\"section-g-1ald26p\" class=\"wp-block-gutentor-divider section-g-1ald26p gutentor-element gutentor-section gutentor-divider text-center\"><div class=\"grid-container\"><div class=\"gutentor-divider-box\"><span class=\"gutentor-divider-separator\"><\/span><\/div><\/div><\/section>\n\n\n\n<div class=\"wp-block-group c-nav--sub u-mb--sml--10 project-team\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<h3 class=\"wp-block-heading\">Project team members<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/gugercin.math.vt.edu\/\">Serkan Gugercin<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/pmli.github.io\">Petar Mlinari\u0107<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.mathos.unios.hr\/~ztomljan\">Zoran Tomljanovi\u0107<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.mathos.unios.hr\/moj_profil\/matea-ugrica-vukojevic\/\">Matea Ugrica Vukojevi\u0107<\/a><\/li>\n<\/ul>\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n\n\n\n<div id=\"section-g-bfh7ff6\" class=\"wp-block-gutentor-e6 section-g-bfh7ff6 gutentor-element gutentor-element-image\"><div class=\"gutentor-element-image-box\"><div class=\"gutentor-image-thumb\"><img decoding=\"async\" class=\"normal-image\" src=\"https:\/\/www.mathos.unios.hr\/wp-content\/uploads\/2026\/01\/hrzz_logo_eng-300x127.png\" \/><\/div><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"Main information Project ID: IP-2025-02-4862 Summary Parameter-dependent systems play a crucial role in various research fields, including mathematics, engineering, and physics, as they arise in applications involving parameter analysis and optimization. This project examines systems with structured parameter variations, emphasizing damping optimization in partial and ordinary differential equations (PDEs and ODEs). It also explores Model <a href=\"https:\/\/www.mathos.unios.hr\/en\/opt-pedestal\/\" class=\"more-link\">&#8230;<span class=\"screen-reader-text\">  Optimization of parameter-dependent systems with applications (OPT-PEDESTAL)<\/span><\/a>","protected":false},"author":3,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"_editorskit_title_hidden":false,"_editorskit_reading_time":0,"_editorskit_is_block_options_detached":false,"_editorskit_block_options_position":"{}","kk_blocks_editor_width":"","_kiokenblocks_attr":"","_kiokenblocks_dimensions":"","footnotes":""},"class_list":["post-52269","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Optimization of parameter-dependent systems with applications (OPT-PEDESTAL) - School of Applied Mathematics and Informatics<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.mathos.unios.hr\/en\/opt-pedestal\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Optimization of parameter-dependent systems with applications (OPT-PEDESTAL) - School of Applied Mathematics and Informatics\" \/>\n<meta property=\"og:description\" content=\"Main information Project ID: IP-2025-02-4862 Summary Parameter-dependent systems play a crucial role in various research fields, including mathematics, engineering, and physics, as they arise in applications involving parameter analysis and optimization. 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