This paper presents the double chain–integrator finite-time convergence in a closed loop with second-order bang–bang sliding control. The direct Lyapunov method carried out stability analysis and reaching time estimation using suitable non-smooth strong function. That is, proposed energy function is strictly positive definite, definite negative derivative. Additionally, estimates presence of ma...

For stabilization of a robot manipulator upon collision with a stiff environment, a nonlinear bang-bang impact controller is developed. Under this control, a robot can successfully achieve contact tasks without changing control algorithm or controller gains throughout all three modes: free space, transition and constrained motion. It uses a robust hybrid impedance/time-delay control algorithm t...

A mathematical model for the depletion of bone marrow under cancer chemotherapy is analyzed as an optimal control problem. The control represents the drug dosage of a single chemotherapeutic agent and pharmacokinetic equations which model its plasma concentration are included. The drug dosages enter the objective linearly. It is shown that optimal controls are bang-bang, i.e. alternate the drug...

Radiation is known to cause genetic damage highly proliferative cells such as cancer cells. However, the radiotherapy effects bone not completely known. In this work we present a mathematical modeling framework test hypotheses related radiation-induced on metastasis. Thus, pose an optimal control problem based Komarova model describing interactions between and at single site of remodeling. The ...

This article formulates the optimal pacing of a cyclist on hilly terrain time trials as minimum-time control problem. The maximal power serves time-varying constraint and depends fatigue recovery which are captured via dynamic models proposed early in article. Experimental protocols for identifying individualized parameters detailed results six human subjects shown. In an analytical treatment n...

We investigate the optimal control of neuronal spiking activity for neurons receiving a class of random synaptic inputs, characterized by a positive parameter alpha. Optimal control signals and optimal variances are found exactly for the diffusion process approximating an integrate and fire model. When synaptic inputs are "sub-Poisson" (alpha<0.5), we find that the optimal synaptic input is a d...

"The anti-lock braking system is a safety equipment that prevents the vehicle wheels from locking up under emergency, panic, or harsh conditions, ensuring steering control during and reducing distance. This studied by automotive engineers for performance comparisons determining optimal methods. For this reason, paper presents method to mathematically model system. The obtained afterwards used i...

We study a modiied version of the well known Markov-Dubins problem, in which the control is angular acceleration rather than angular velocity. We show that an optimal trajectory cannot contain a junction of a bang-bang and a singular piece, and use results of Zelikin and Borisov to show that there are Pontryagin extremals involving innnite chattering.

Evolution is a closed stochastic optimisation process driven by the interaction between behaviour and environment towards local maxima in fitness. It is inferred that nervous systems are selected to provide optimal control of behaviour (the 'assumption of optimality'), such that for some behaviours, the expectation of future hazards to survival are minimised. This is illustrated by goal-directe...