This paper investigates the problem of finite-time state feedback stabilization for nonholonomic mobile robot with stochastic disturbance in the forward velocity. First of all, an appropriate state/input transformation is introduced to convert the mentioned control model into stochastic nonholonomic system in chain form. Then, by using stochastic finite-time stability theorem and the method of ...

In this paper, the problem of finite-time stabilization by output feedback is investigated for a class of high order nonholonomic systems in power chained form with uncertainties. By skilly using finite-time stability theorem and homogeneous domination approach, a constructive design procedure for output feedback control is given. Together with a novel switching control strategy, the designed c...

In 1974, E.W. Dijkstra defined self-stabilization as the property for a distributed system to recover by itself a correct behavior in a finite number of steps, starting from any initial state. Thus, self-stabilization is a simple and efficient way to tolerate transient faults or failures. This paper surveys works that propose self-stabilizing solutions to problems arising in Computer Networks, ...

The performance of attitude stabilization control algorithms for rigid spacecraft can be limited by disturbances. In this paper, the global finite-time problem with disturbances is investigated and handled constructing a second-order sliding mode controller. Firstly, virtual controller based on set idea constructed to globally stabilize system. Then, relay polynomial guarantee that tracking err...

Conditions on the stabilization parameters are explored for different approaches in deriving error estimates for the SUPG finite element stabilization of time-dependent convectiondiffusion-reaction equations. Exemplarily, it is shown for the SUPG method combined with the backward Euler scheme that standard energy arguments lead to estimates for stabilization parameters that depend on the length...

This work focuses on regime-switching jump diffusions, which include three classes of random processes, Brownian motions, Poisson processes, and Markov chains. First, a scalar linear system is treated as a benchmark model. Then stabilization of systems with one-sided linear growth is considered. Next, nonlinear systems that have a finite explosion time are treated, in which regularization (expl...

The paper provides results for the stabilization of a spatially uniform equilibrium profile for a scalar conservation law that arises in the study of traffic dynamics under variable speed limit control. Two different control problems are studied: the problem with free speed limits at the inlet and the problem with no speed limits at the inlet. Explicit formulas are provided for respective feedb...