Papers by Sreten STOJANOVIC
Facta universitatis - series: Electronics and Energetics
The paper discusses the problem of the energy losses reduction in electrical networks using a bat... more The paper discusses the problem of the energy losses reduction in electrical networks using a battery energy storage system. One of the main research interests is to define the optimal battery location and control, for the given battery characteristics (battery size, maximum charge / discharge power, discharge depth, etc.), network configuration, network load, and daily load diagram. Battery management involves determining the state of the battery over one period (whether charging or discharging) and with what power it operates. Optimization techniques were used, which were applied to the model described in the paper. The model consists of a fitness function and a constraint. The fitness function is the dependence of the power losses in the network on the current battery power, and it is suggested that the function be fit by a n - order power function. The constraints apply to the very characteristics of the battery for storing electricity. At any time interval, the maximum power th...
Mathematical Problems in Engineering, 2018
The delay-dependent stability problem is investigated for discrete-time neural networks with time... more The delay-dependent stability problem is investigated for discrete-time neural networks with time-varying delays. A new augmented Lyapunov-Krasovskii functional (LKF) with single and double summation terms and several augmented vectors is proposed by decomposing the time-delay interval into two nonequidistant subintervals to derive less conservative stability conditions. Then, by using Wirtinger-based inequality, reciprocally, and extended reciprocally convex combination lemmas, tight estimations for sum terms in the forward difference of the LKF are given. Several zero equalities are introduced to further relax the existing results. Less conservative stability criteria are proposed in terms of linear matrix inequalities (LMIs). Finally, numerical examples are proposed to show the effectiveness and less conservativeness of the proposed method.
Further results on stability of linear discrete time delay systems over a finite time interval: Novel delay-independent conditions
2011 9th IEEE International Conference on Control and Automation (ICCA), 2011
ABSTRACT This paper gives sufficient conditions for the practical and finite time stability of a ... more ABSTRACT This paper gives sufficient conditions for the practical and finite time stability of a particular class of linear discrete time delay systems. Analyzing the finite time stability concept, these new delay-independent conditions are derived using an approach based on the Lyapunov-like functions. The practical stability and attractive practical stability for discrete time delay systems have been investigated. The above mentioned approach was supported by the classical Lyapunov technique to guarantee the attractivity properties of the system behavior.
2014 9th IEEE Conference on Industrial Electronics and Applications, 2014
In this study, finite-time stability of the linear continuous time-delay systems was investigated... more In this study, finite-time stability of the linear continuous time-delay systems was investigated. A novel formulation of the Lyapunov-like function was used to develop a new sufficient delay-dependent condition for finite-time stability. The proposed function does not need to be positive-definite in the whole state space, and it does not need to have negative derivatives along the system trajectories. The proposed method was compared with the previously developed and reported methodologies. It was concluded that the stability investigation using the novel condition for stability investigation was less complicated for numerical calculations. Furthermore, it gives comparable results in comparison with the ones obtained with other analyzed conditions, and it provides superior results for some systems.
On non-Lyapunov stability of linear discrete time delay systems: LMIs approach
Proceedings of the 10th World Congress on Intelligent Control and Automation, 2012
ABSTRACT This paper gives new contributions to the area of non-Lyapunov (finite time stability, t... more ABSTRACT This paper gives new contributions to the area of non-Lyapunov (finite time stability, technical stability, practical stability, final stability) for the particular class of linear discrete time delay systems. The idea of attractive practical stability is introduced for the first time. Moreover, based on the matrix inequalities and Lyapunov-like functions, some new sufficient conditions under which the linear discrete time delay system is finite time stable are given. Finally, an example is employed to verify the efficiency of the proposed Theorems as well as to show that results derived upon LMIs are less restrictive than those based on a classical approach. To the best knowledge of authors, such results have not been reported yet.
2005 International Conference on Control and Automation
This paper gives sufficient conditions for the stability of linear singular continuous delay of t... more This paper gives sufficient conditions for the stability of linear singular continuous delay of the form Eẋ (t) = A 0 x (t) + A 1 x (t − τ). These new, delay-independent conditions are derived using approach based on Lyapunov's direct method. A numerical example has been working out to show the applicability of results derived. To the best knowledge of the authors, such result have not yet been reported.
Proceedings of the 2005, American Control Conference, 2005.
This paper gives sufficient conditions for the stability of linear singular continuous delay syst... more This paper gives sufficient conditions for the stability of linear singular continuous delay systems of the form
Theoretical and Applied Mechanics, 2013
This paper deals with the problem of delay dependent stability for both ordinary and large-scale ... more This paper deals with the problem of delay dependent stability for both ordinary and large-scale time-delay systems. Some necessary and sufficient conditions for delay-dependent asymptotic stability of continuous and discrete linear time-delay systems are derived. These results have been extended to the large-scale time-delay systems covering the cases of two and multiple existing subsystems. The delay-dependent criteria are derived by Lyapunov's direct method and are exclusively based on the solvents of particular matrix equation and Lyapunov equation for non-delay systems. Obtained stability conditions do not possess conservatism. Numerical examples have been worked out to show the applicability of results derived.
Discrete Dynamics in Nature and Society, 2015
The problem of finite-time stability for linear discrete time systems with state time-varying del... more The problem of finite-time stability for linear discrete time systems with state time-varying delay is considered in this paper. Two finite sum inequalities for estimating weighted norms of delayed states are proposed in order to obtain less conservative stability criteria. By using Lyapunov-Krasovskii-like functional with power function, two sufficient conditions of finite-time stability are proposed and expressed in the form of linear matrix inequalities (LMIs), which are dependent on the minimum and maximum delay bounds. The numerical example is presented to illustrate the applicability of the developed results. It was shown that the obtained results are less conservative than some existing ones in the literature.
Stability in the sense of Lyapunov of Generalized State Space Time Delayed System: A Geometric Approach
This paper give su-cient conditions for the stability of linear singular continuous and descripto... more This paper give su-cient conditions for the stability of linear singular continuous and descriptor time delay systems of the form E _ x(t) = A0x(t) + A1x(t ¡ ¿) and Ex(k) = A0x(k) + A1x(k ¡ 1), respectively. These new, delay-independent conditions are derived using approach based on Lya- punov's direct method. Approach that has been applied is based on crucial idea presented in paper of Owens, Debeljkovic (1985). Numerical examples have been working out to show the applicability of results derived.
Hemijska industrija, 2006
The paper presents some new sufficient conditions, independent of delay, for the asymptotic stabi... more The paper presents some new sufficient conditions, independent of delay, for the asymptotic stability of a particular class of linear perturbed time-delay systems with multiple delays. The proposed criteria introduce a smaller number of assumptions and are expressed in more natural and simpler mathematical forms. Numerical results are presented to support and illustrate the derived results.
Delay-dependent Stability Analysis for Discrete Singular Systems with Time-varying Delays
Acta Automatica Sinica, 2010
... k) d 2 . To this end, we choose two nonsingular matrices G and H such that GEH = bracketleftb... more ... k) d 2 . To this end, we choose two nonsingular matrices G and H such that GEH = bracketleftbigg I r 0 00 bracketrightbigg Set GAH = bracketleftbigg A ... Inter-national Journal of Innovative Computing, Information and Control, 2009, 5(6): 1655 1664 12 Xie Y, Gui W, Jiang Z. Delay ...
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Papers by Sreten STOJANOVIC