This talk describes di¤erent approaches to get the observability for heat equations without the use of Carleman inequalities. Contents 1 The heat equation and observability 2 2 Our motivation 3 3 Our strategy 4 3.1 Proof of "Hölder continuous dependence from one point in time" ) "Sum of Laplacian eigenfunctions" . . . . . . . . . . . . . . . 4 3.2 Proof of "Hölder continuous dependence from one...

Electric drives control without shaft sensors has been an active research topic for almost three decades. It consists of estimating the rotor speed and/or position from the currents and voltages measurement. This paper deals with the observability conditions of electric drives in view of sensorless control. The models of such systems are strongly nonlinear. For this reason, a local observabilit...

The problem of exact observability is analyzed for a wide class of neutral type systems by an infinite dimensional approach. The duality with the exact controllability problem is the main tool. It is based on an explicit expression of a neutral type system which corresponding to the abstract adjoint system. A nontrivial relation is obtained between the initial neutral system and the system obta...

In this paper, we study controlled homogeneous dynamical systems and derive conditions under which the system is perspective controllable. We also derive conditions under which the system is observable in the presence of a control over the complex base field. In the absence of any control input, we derive a necessary and sufficient condition for observability of a homogeneous dynamical system o...

The dynamical systems observability properties of barotropic bosonic and fermionic FRW cosmological oscillators are investigated. Nonlinear techniques for dynamical analysis have been recently developed in many engineering areas but their application has not been extended beyond their standard field. This paper is a small contribution to an extension of this type of dynamical systems analysis t...

We present a novel lower bound on the inverse of the condition number of the observability matrix for a system composed on one mobile target sensed by multiple stationary sensors. The actual observability matrix cannot be computed since the control input for the target is not known to the sensors. Instead, we present a lower bound on the observability matrix and its condition number assuming bo...

We de$ne a measure of “observability” of robot motion that can be used in evaluating a hand/eye set-up with respect to the ease of achieving vision-based control. This eztends the analysis of “manipulability” of a robotic mechanism in [9] to incorporate the effect of visual features. We discuss how the observability measure can be applied for active camera placement and for robot tmjectory plan...