Application of an undecoupled Dyson-type equation for estimating the error of the one-group approximation in the theory of conservative stochastic linear dynamical systems

1982 ◽  
Vol 25 (6) ◽  
pp. 459-468
Author(s):  
Yu. N. Barabanenkov ◽  
M. I. Kalinin
Keyword(s):  
Dynamical Systems ◽  
Type Equation ◽  
Linear Dynamical Systems ◽  
The One

scholarly journals Stability analysis and controller synthesis for hybrid dynamical systems

2010 ◽  
Vol 368 (1930) ◽  
pp. 4937-4960 ◽  
Author(s):  
W. P. M. H. Heemels ◽  
B. De Schutter ◽  
J. Lunze ◽  
M. Lazar
Keyword(s):  
Dynamical Systems ◽  
Mathematical Models ◽  
Hybrid Systems ◽  
Discrete Event ◽  
Research Area ◽  
Hybrid Dynamical Systems ◽  
Technological Systems ◽  
Analysis And Synthesis ◽  
Control Community ◽  
The One

Wherever continuous and discrete dynamics interact, hybrid systems arise. This is especially the case in many technological systems in which logic decision-making and embedded control actions are combined with continuous physical processes. Also for many mechanical, biological, electrical and economical systems the use of hybrid models is essential to adequately describe their behaviour. To capture the evolution of these systems, mathematical models are needed that combine in one way or another the dynamics of the continuous parts of the system with the dynamics of the logic and discrete parts. These mathematical models come in all kinds of variations, but basically consist of some form of differential or difference equations on the one hand and automata or other discrete-event models on the other hand. The collection of analysis and synthesis techniques based on these models forms the research area of hybrid systems theory, which plays an important role in the multi-disciplinary design of many technological systems that surround us. This paper presents an overview from the perspective of the control community on modelling, analysis and control design for hybrid dynamical systems and surveys the major research lines in this appealing and lively research area.

A generalized orthonormal basis for linear dynamical systems

1995 ◽  
Vol 40 (3) ◽  
pp. 451-465 ◽  
Author(s):  
P.S.C. Heuberger ◽  
P.M.J. Van den Hof ◽  
O.H. Bosgra
Keyword(s):  
Dynamical Systems ◽  
Orthonormal Basis ◽  
Linear Dynamical Systems
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