Professor Milan Stork
Department of Applied Electronics and Telecommunications
Faculty of Electrical Engineering and Regional Innovation Centre for
Electrical Engineering, University of West Bohemia, Plzen (RICE)
P.O. Box 314
30614 Plzen, Czech Republic
stork@kae.zcu.cz
stork@kae.zcu.cz
Abstract: Experimental investigations of molecular dynamics at constant temperature for many-particle systems have been strongly influenced by introduction of the Nosé-Hoover thermostat dynamic's in 1980's. At low energy levels the dynamic behavior is known to be regular. At higher energy levels the regular motion is destroyed by perturbations, as follows from Kolmogorov-Arnold-Moser theory. The resulting chaotic behavior has traditionally been analyzed by means of the Lyapunov exponents. It will be demonstrated in the proposed contribution that such a behavior is typical for a broad class of interconnected oscillators with at least one non-linear element. A new concept of abstract state space energy for a broad class of dissipative system representations, including such as the recently introduced non-Hamiltonian Nosé-Hoover thermostat system will be presented as a limiting case too. The questions of system instability, dissipativity, conservativity, asymptotic stability, state and parameter minimality, and many other related structural properties, are traditionally described in physical terms and are known to be closely related to the total system energy evolution. In contrary, the presented paper deals exclusively with an abstract state space energy measure for a broad class of finite dimensional strictly causal systems described in state-space representation form. The resulting energy metric function is induced by the observed output signal power of an abstract dissipative system representation in such a way that a form of abstract conservation law holds. The concept of the state space energy is defined by power integration. Using abstract form of the energy conservation principle a specific structure of the corresponding class of physically correct
system representations is derived. The same technique is applied for continuous-time as well as for discrete-time systems. Some typical examples of linear and nonlinear causal systems are
investigated from the proposed state space energy point of view, too. The system simulation results will also be presented in the lecture. The obtained results of a number of simulation experiments are compared with classical dynamics based techniques as well as with recently published Nosé-Hoover dynamics related results.
Brief Biography of the Speaker: Milan Stork received the M.Sc. degree in electrical engineering from the Technical University of Plzen, Czech Republic at the department of Applied electronics in 1974. He specialized in electronics systems and control in research institute in Prague. Since 1977 he worked as
lecturer on University of West Bohemia in Plzen. He received Ph.D. degree in automatic control systems at the Czech Technical University in Prague in 1985. In 1997, he became as Associate Professor and in 2007 full professor at the Department of Applied Electronics and Telecommunication, faculty of electrical engineering on University of West Bohemia in Plzen, Czech Republic. He has numerous journal and conference publications. He is member of editorial board magazine "Physician and Technology". His research interest includes analog/digital linear, nonlinear and chaotic systems, control systems, signal processing and biomedical engineering, especially cardiopulmonary stress exercise systems.
