Abslraet--We consider the design of a feedback control law for control systems described by a class of nonlinear differential-algebraic equations so that certain desired outputs track given reference inputs. The nonlinear differential-algebraic control system being considered is not in state variable form. Assumptions are introduced and a procedure is developed such that an equivalent state rea...

Optimal feedback control (OFC) is a theory from the motor literature that explains how humans move their body to achieve certain goal, e.g., pointing with finger. OFC based on assumption aim optimally, within constraints imposed by body, environment, and task. In this paper, we explain can be applied understanding Human-Computer Interaction (HCI) in case of pointing. We propose human computer d...

We consider a class of closed loop stochastic optimal control problems in finite time horizon, which the cost is an expectation conditional on event that process has not exited given bounded domain. An important difficulty probability conditionates strategy decays as grows. The optimality conditions consist system partial differential equations, including Hamilton-Jacobi-Bellman equation (backw...

In this note, we investigate the existence of controls which allow to reach a given closed set K through trajectories of a nonlinear control system. In the case where the set is sufficiently regular we give a condition allowing to find a feedback control law which ensures the existence of trajectories to reach the set. We also consider the case where all the trajectories reach K . When K is not...

This paper presents a survey on quantum control theory and applications from a control systems perspective. Some of the basic concepts and main developments (including open-loop control and closed-loop control) in quantum control theory are reviewed. In the area of open-loop quantum control, the paper surveys the notion of controllability for quantum systems and presents several control design ...

Recently, feedback control systems using random dither quantizers have been proposed for linear discrete-time systems. However, the constraints imposed on state and control variables have not yet been taken into account for the design of feedback control systems with random dither quantization. Model predictive control is a kind of optimal feedback control in which control performance over a fi...