We consider the problem of controlling a linear system when the state is available with a known time-varying delay (delayed-state feedback control) or the actuator is affected by a delay. The solution proposed in this paper consists in partially assigning the spectrum of the closed-loop system to guarantee the exponential zero-state stability with a prescribed decay rate by means of a finite-di...

stabilization, alter and improvement of engineering properties of soil are for providing predetermined goals. the most important aim of soil stabilization is increasing long term soil strength, but in very wet and loos lands the other aim of soil stabilization, is to decrease plasticity characteristic of soil, which are tested by atterberg limits tests. since the road soils of namkhane district...

Moreover, I am grateful to Brigitte Rohrbach for her careful editing of the manuscript which helped improve the standard of my English. Finally, a special thank to my wife Franziska for her patience and invaluable support. vii Summary The stability analysis of time-delay systems forms the centre of this work. Three tools are typically used to investigate the stability of such systems: Razumikhi...

The stabilization of periodic control systems using time scales is studied. Time scale is a model of time. The language of time scales seems to be an ideal tool to unify the continuous-time and the discrete-time theories. In this work we suggest an alternative way to solve stabilization problems. This method is based on a combination of the Lyapunov functions method with local controllability c...

The paper proposes a general framework to study the exponential stabilization problem for a class of nonlinear systems. By using the σ-processing, the exponential stabilization problem can be solved provided that all solutions of an augmented system are uniformly globally bounded. Based on this result, a simple and general stability criterion is presented. Two well-known nonholonomic systems ar...

Preference-based systems (p.b.s.) describe interactions between nodes of a system that can rank their neighbors. Previous work has shown that p.b.s. converge to a unique locally stable matching if an acyclicity property is verified. In the following we analyze acyclic p.b.s. with respect to the self-stabilization theory. We prove that the round complexity is bounded by n2 for the adversarial da...

In the self-stabilizing algorithmic paradigm for distributed computing each node has only a local view of the system, yet in a nite amount of time the system converges to a global state, satisfying some desired property. A function f : V (G) ! f0; 1; 2; : : : ; kg is a fkgdominating function if j2N[i]f(j) k for all i 2 V (G). In this paper we present self-stabilizing algorithms for nding a mini...

This paper studies the exponential stabilization problem for discrete-time switched linear systems based on a control-Lyapunov function approach. It is proved that a switched linear system is exponentially stabilizable if and only if there exists a piecewise quadratic control-Lyapunov function. Such a converse control-Lyapunov function theorem justifies many of the earlier synthesis methods tha...