This paper develops a method of composing simple control policies, applicable over a limited region in a dynamical system’s free space, such that the resulting composition completely solves the navigation and control problem for the given system operating in a constrained environment. The resulting control policy deployment induces a global control policy that brings the system to the goal, pro...

Sufficient conditions for controllability of neutral functional integrodifferential systems in Banach spaces with initial condition in the phase space are established. The results are obtained by using the Schauder fixed point theorem. An example is provided to illustrate the theory.

In this paper, two different control methods, namely sliding mode control and passive control, are investigated for the synchronization of two identical chaotic finance systems with different initial conditions. Based on the sliding mode control theory, a sliding surface is determined. A Lyapunov function is used to prove that the passive controller provides global asymptotic stability of the s...

Many planning and scheduling applications require the ability to deal with uncertainty. Often this uncertainty can be characterized in terms of probability distributions on the initial conditions and on the outcomes of actions. These distributions can be used to guide a planner towards the most likely plan for achieving the goals. This work is focused on developing domain-independent heuristics...

This paper is concerned with the stability analysis of networked control systems with dynamic quantization, variable sampling intervals and communication delays. A time-triggered zooming algorithm for the dynamic quantization at the sensor side is proposed that leads to an exponentially stable closed-loop system. The algorithm includes proper initialization of the zoomparameter.More precisely, ...

This paper extends peak-to-peak gain control of linear system to linear delayed systems. In the proposed method, the supremum of 2-norm is used instead of ∞ L -norm, and local stabilization is used instead of global stabilization. While the reachable set of the dynamic delayed systems is bounded by an inescapable ellipsoid, a state feedback controller is determined under a given initial state c...

1990s researchers have realized that chaotic systems can be synchronized. The phenomenon chaotic synchronization is immediately interesting because of its high potential for applications. Our purpose in this paper is to collect results from various areas in a review article format with a tutorial emphasis. Chaotic dynamical systems having features, sensitive dependence on initial conditions and...

In this paper we deal with nonsmooth optimal control problems in the case when the control is allowed to be a discontinuous function. We analyse smoothness assumptions on an adjoint process in deterministic and stochastic cases. Possibilities of steep generalized space-gradients of the adjoint function imply the necessity of an approximation of the Hamiltonian. The key question of such an appro...

This paper presents a Lie-group shooting method for the numerical solutions of multi-dimensional nonlinear boundary-value problems, which may exhibit multiple solutions. The Lie-group shooting method is a powerful technique to search unknown initial conditions through a single parameter, which is determined by matching the multiple targets through a minimum of an appropriately defined measure o...

The initial data of the gravitational field produced by a loop thick string is considered. We show that a thick loop is not a geodesic on the initial hypersurface, while a loop conical singularity is. This suggests that there is the “critical thickness” of a string, at which the linear perturbation theory with a flat space background fails to describe the gravity of a loop cosmic string. Using ...