Controlling chaos

https://www.polyu.edu.hk/ama/staff/new/qilq/qi-eigen-1.pdf

Eigenvalues of a real supersymmetric tensor

Nearly optimal control laws for nonlinear systems with saturating actuators using a neural network HJB approach

/pdf/a-chronological-bibliography-on-saturating-actuators-5r7fbd58ru.pdf

A chronological bibliography on saturating actuators

We apply the method of optimal control theory to determine the optimal piston trajectory for successively less idealized models of the Otto cycle. The optimal path has significantly smaller losses from friction and heat leaks than the path with conventional piston motion and the same loss parameters. The resulting increases in efficiency are of the order of 10%.

Optimal paths for thermodynamic systems: The ideal diesel cycle

Modern Control Principles and Applications

In the development of a quantitative understanding of physiological reflex arcs it becomes apparent that the concept of pulse-frequency modulation is bound to play an important part. Not only does the discrete nature of these signals introduce some effects of itself, but possibly more significant in the total picture are the dynamical factors introduced by the modulator and demodulator. There is good reason for feeling that in the iris reflex, for instance, a large share of the dynamic behavior is intimately related to the photoreceptors themselves, and possibly a minor role is taken by the synaptic delays.

Pulse Modulation in Physiological Systems, Phenomenological Aspects

The objectives of the present paper are analysis of stability of the nonlinear continuous-time systems and application of the second method to the optimization problem. Based on Lyapunov's method and the Hamilton-Jacobi-Bellman theory we outline procedures which can be used to unify results in stability analysis and system design. For nonlinear time-varying dynamical systems we show how the nonlinear optimization problem can be solved. Four illustrative examples are considered in details to demonstrate the advantages of the given analysis and control methodologies.

Control system analysis and design upon the Lyapunov method

A method of extracting a temporally bounded component of a composite signal has been developed which minimizes data corruption in signal processing. The composite signal is windowed in the time domain, padding signals are attached, and finally, the conditioned signal is filtered to extract the component of interest. The method has been utilized to extract the Oscillatory Potential (OP) from the Electroretinogram (ERG). ERGs can contain impulse like transients, including flash artifacts and a-b wave transition, which may not be related to the Oscillatory Potential. Such transients will stimulate a filter, yielding its natural (filter) response and thus distort the actual OP signal. To avoid this effect, time-domain windowing and signal conditioning is used to extract the OP from the ERG. The extraction and modeling approach is applied to ERGs obtained from patients with recent monocular central retinal vein occlusion (CRVO). Model parameters clearly differentiate affected from fellow eyes and show subtle differences between eyes with benign and complicated outcomes.

Extraction and modeling of the Oscillatory Potential: signal conditioning to obtain minimally corrupted Oscillatory Potentials.

A new process is described in which the relation between outcomes of clinical neurological tests and neural pathways is utilized to identify locations of probable lesions. The test outcomes of a clinical neurological examination serve as input to a computer whose output is a map indicating locations of probable malfunction (lesion), as well as locations of probable function. This map involves the display of various factors that are defined to describe the spatial distribution of neural elements involved in probable malfunction or probable function. The process is suitable not only for clinical application but also as a tool for teaching neurosciences. An application of this process to a patient with a brainstem lesion is presented.

A.U. Meyer

Papers

Modern Control Principles and Applications

Pulse Modulation in Physiological Systems, Phenomenological Aspects

Control system analysis and design upon the Lyapunov method

Extraction and modeling of the Oscillatory Potential: signal conditioning to obtain minimally corrupted Oscillatory Potentials.

Localization of Lesions in the Human Nervous System by Computer Analysis