Zobrazeno 1 - 10
of 85
pro vyhledávání: '"Nakić, Ivica"'
We consider a vibrational system control problem over a finite time horizon. The performance measure of the system is taken to be $p$-mixed $H_2$ norm which generalizes the standard $H_2$ norm. We present an algorithm for efficient calculation of thi
Externí odkaz:
http://arxiv.org/abs/2312.15207
Sequences of parametrized Lyapunov equations can be encountered in many application settings. Moreover, solutions of such equations are often intermediate steps of an overall procedure whose main goal is the computation of $\text{trace}(EX)$ where $X
Externí odkaz:
http://arxiv.org/abs/2312.08201
In this paper we consider a constrained parabolic optimal control problem. The cost functional is quadratic and it combines the distance of the trajectory of the system from the desired evolution profile together with the cost of a control. The const
Externí odkaz:
http://arxiv.org/abs/2109.13783
We consider new performance measures for vibrational systems based on the $H_2$ norm of linear time invariant systems. New measures will be used as an optimization criterion for the optimal damping of vibrational systems. We consider both theoretical
Externí odkaz:
http://arxiv.org/abs/1906.00503
Autor:
Jokić, Andrej, Nakić, Ivica
In this paper we study connections between structured storage or Lyapunov functions of a class of interconnected systems (dynamical networks) and dissipativity properties of the individual systems. We prove that if a dynamical network, composed as a
Externí odkaz:
http://arxiv.org/abs/1905.05854
Autor:
Egidi, Michela, Nakić, Ivica, Seelmann, Albrecht, Täufer, Matthias, Tautenhahn, Martin, Veselic, Ivan
We survey recent results on the control problem for the heat equation on unbounded and large bounded domains. First we formulate new uncertainty relations, respectively spectral inequalities. Then we present an abstract control cost estimate which im
Externí odkaz:
http://arxiv.org/abs/1810.11229
Publikováno v:
ESAIM: Control, Optimisation and Calculus of Variations, Volume 26, Paper number: 54, 2020
We prove new bounds on the control cost for the abstract heat equation, assuming a spectral inequality or uncertainty relation for spectral projectors. In particular, we specify quantitatively how upper bounds on the control cost depend on the consta
Externí odkaz:
http://arxiv.org/abs/1810.10975
Autor:
Nakić, Ivica, Veselić, Krešimir
We prove inclusion theorems for both spectra and essential spectra as well as two-sided bounds for isolated eigenvalues for Klein-Gordon type Hamiltonian operators. We first study operators of the form $JG$, where $J$, $G$ are selfadjoint operators o
Externí odkaz:
http://arxiv.org/abs/1807.11612
We prove and apply two theorems: First, a quantitative, scale-free unique continuation estimate for functions in a spectral subspace of a Schr\"odinger operator on a bounded or unbounded domain, second, a perturbation and lifting estimate for edges o
Externí odkaz:
http://arxiv.org/abs/1804.07816
Publikováno v:
In Journal of the Franklin Institute November 2022 359(16):9110-9128
