S.A. Milinkovic

Further results on the stability of linear nonautonomous systems with delayed state defined over finite time interval

This paper extends some basic results from the area of finite time and practical stability to linear, continuous, time invariant nonautonomous time-delay systems. Sufficient conditions of this kind of stability, for particular class of time-delay systems, are derived.

On the stability of linear systems with delayed state defined over finite time interval

The paper extends some basic results from the area of finite time and practical stability to linear, continuous, time invariant, time-delay systems. Sufficient conditions of this kind of stability, for particular class of time-delay systems, are derived.

Singular Time Delayed System Stability Theory in the sense of Lyapunov: A Quite New Approach

This paper gives sufficient conditions for the stability of linear singular continuous delay systems of the form Ex(t)=Aox(t) + A1x.(t-tau}. These new, delay-independent conditions are derived using approach based on Lyapunovs direct method. A numerical example has been working out to show the applicability of results derived.

Further results on descriptor time delayed system stability theory in the sense of Lyapunov: Pandolfi based approach

This paper gives sufficient conditions for the stability of linear singular discrete delay systems of the form Ex/spl dot/(t) = A/sub 0/x(t) + A/sub 1/x(t - /spl tau/). These new, delay-independent conditions are derived using approach based on Lyapunovs 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 has not yet been reported.

Further results on singular time delayed system stability

This paper gives sufficient conditions for the stability of linear singular continuous delay systems of the form Ex(t) = A/sub 0/x(t) + A/sub 1/x(t - T). These new, delay-independent conditions are derived using approach based on Lyapunovs direct method.

Discrete time delayed system stability theory in the sense of Lyapunov: new results

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 improvement of the existing results concerning the asymptotic stability of systems described by vector state representation of the form x(k +1) = A/sub 0/x(k) + A/sub 1/x(k-1). This result is less conservative than those in existing literature. To the best knowledge of the authors, such results have not yet been reported.

Lyapunov stability theory: a quite new approach - discrete descriptive time delayed system

This paper gives sufficient conditions for the stability of linear singular discrete delay systems of the form Ex(k + 1) = A0x(k) + A1x(k - 1). These new, delay-independent sufficient conditions are derived using approach based on Lyapunovs direct method. A numerical example has been working out to show the applicability of results derived

Finite time stability of linear discrete descriptor systems

In this paper the descriptor (singular, semi-state) systems described by a mixture of algebraic and difference equations are treated. The geometric treatment of consistent initial conditions that generate tractable solutions (sequences) to such problems and the construction of non-Lyapunov stability theory to bound rates of decay of such solutions were investigated in some previous papers of the same authors. Moreover, the particular class of descriptor systems have been treated under perturbing forces.

Further results on nonLyapunov stability of time delay systems

This paper extends some basic results from the area of finite time and practical stability to linear, continuous, time invariant time-delay systems. Sufficient conditions of this kind of stability for a particular class of time-delay systems are derived.

Stability Theory in the Sense of Lyapunov — Basic Approach: Discrete Singular Time Delayed System

This paper gives sufficient conditions for the stability of linear singular discrete delay systems of the form Ex (k+1) = Ao x (k)+A1 x ((k-1). 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.Copyright