Abstract This paper introduces the notions of chained and semi-chained graphs. The chain a graph, when existent, refines notion bipartivity conveys important structural information. Also center vertex $$v_c$$ v c is introduced. It vertex, whose sum p powers distances to...

A new digital control method for a time varying sampled data system called a variable period deadbeat control is proposed to control high order nonholonomic chained systems with drift terms. This control law has a potential to avoid an excessive overshoot to prevent the trajectories close to the singular manifold of the transformation needed to obtain the chained forms. The control will be appl...

The session-typed programming language Session Java (SJ) has proved to be an effective tool for distributed programming, promoting structured programming for communications and compile-time safety. This paper investigates the use of SJ for session-typed parallel programming, and introduces new language primitives for chained iteration and multi-channel communication. These primitives allow the ...

This paper presents a new strategy for increasing the availability of data in multi-processor, shared-nothing database machines. This technique, termed chained declustering, is demonstrated to provide superior performance in the event of failures while maintaining a very high degree of data availability. Furthermore, unlike most earlier replication strategies, the implementation of chained decl...

In this paper, the problem of finite-time stabilization is developed for nonholonomic chained form systems with communication delay in the input. The finite-time control laws are presented by utilizing the switching control strategy and the theory of finite-time stability, which can make the states of the nonholonomic chained form systems to converge from any non-equilibrium state to the equili...

This paper examines the kinematic model of an autonomous mobile robot system consisting of a chain of steerable cars and passive trailers, l iked together with rigid bars. The state space and kinematic equations of the system are defined, and it is shown how these kinematic equations may be converted into a multiinput chained form. The advantages of the chained form are that many methods are av...

In this paper, we develop fixed-final time nearly optimal control laws for a class of non-holonomic chained form systems by using neural networks to approximately solve a Hamilton–Jacobi–Bellman equation. A certain time-folding method is applied to recover uniform complete controllability for the chained form system. This method requires an innovative design of a certain dynamic control compone...