D. Lj. Debeljkovic

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This paper provides sufficient conditions for the asymptotic practical and finite time stability of linear continuous time delay systems mathematically described as x'(t)= A<sub>0</sub>x(t) - A<sub>1</sub>x(t - &#x03C4;). The Lyapunov-Krassovski functionals were used to establish the novel delay independent conditions. These conditions were applied in the(More)
Our aim is to improve the existing results concerning asymptotic stability of a particular class of linear discrete time delay systems. This work extends one of the basic results in the area of Lyapunov (asymptotic) to linear, discrete, time invariant time-delay systems. This result is given in the form of only sufficient conditions and represent further(More)
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(More)
Medical-technical robotic systems are typical examples in which external contact forces on a system play an important role in the system dynamics. Mathematical modeling of these systems is challenging due to a variety of reasons. Mathematical models for the described class of systems contain differential equations with an associate algebraic equation, which(More)
This paper extends some of the basic results in the area of Lyapunov (asymptotic) and finite time and practical stability to linear, discrete, time invariant time-delay systems. New definitions have been established for the latter concept of stability. Sufficient conditions for this type of stability, concerning the particular class of linear discrete(More)
In this article the sufficient conditions for the practical and finite-time stability of the linear continuous systems with the time-delay are presented. The new delay-independent stability conditions are derived using Lyapunov-like functions for the finite-time systems. For these functions it is not necessary to have properties of positivity in the whole(More)
This paper gives sufficient conditions for the stability of linear singular continuous delay systems of the form ( ) ( ) ( ) 0 1 E t A t A t = + x x x . These new, delay– independent conditions are derived using approach based on Lyapunov’s direct method. 1.Introduction It should be noticed that in some systems we must consider their character of dynamic(More)
In the present study, the practical and finite time stability of linear continuous system with latency has been investigated. The proposed result outlines the novel sufficient stability conditions for the systems represented by the following equation: x'(t)=A<sub>0</sub>x(t) - A<sub>1</sub>x(t - &#x03C4;). The results can be applied to the analysis of both(More)
This paper gives sufficient conditions for the stability of linear descriptor discrete delay systems of the particular form. These new, delay-independent sufficient conditions are derived using approach based on Lyapunov's direct method. This paper, for the first time, offers a general case in the sense that necessity for regularity of system basic matrix(More)