Kategoria BISAC: Science >> System Theory

In this monograph the author presents explicit conditions for the exponential, absolute and input-to-state stabilities including solution estimates of certain types of functional differential equations.

The main methodology used is based on a combination of recent norm estimates for matrix-valued functions, comprising the generalized Bohl-Perron principle, together with its integral version and the positivity of fundamental solutions.

Explains multi-level models of enterprise systems and covers modeling methodology

This book addresses the essential phenomena underlying the overall behaviors of complex systems and enterprises. Understanding these phenomena can enable improving these systems. These phenomena range from physical, behavioral, and organizational, to economic and social, all of which involve significant human components. Specific phenomena of interest and how they are represented depend on the questions of interest and the relevant domains or contexts. Modeling and Visualization of Complex...

The theory of nonlinear, complex systems has become by now a proven problem-solving approach in the natural sciences. And it is now also recognized that many if not most of our social, ecological, economical and political problems are essentially of a global, complex and nonlinear nature. And it is now further accepted than any holistic perspective of the human mind and brain can hardly be achieved by any other approach. In this wide-ranging, scholarly but very concise treatment, physicist, computer scientist and philosopher Klaus Mainzer discusses, in essentially nontechnical language,...

This book showcases a subclass of hereditary systems, that is, systems with behaviour depending not only on their current state but also on their past history; it is an introduction to the mathematical theory of optimal control for stochastic difference Volterra equations of neutral type. As such, it will be of much interest to researchers interested in modelling processes in physics, mechanics, automatic regulation, economics and finance, biology, sociology and medicine for all of which such equations are very popular tools.

The text deals with problems of optimal control such as...

Der Leser wird befahigt, die mathematischen Werkzeuge der linearen Systemtheorie fur regelungstechnische Zwecke einzusetzen. Im Zentrum stehen die funktionentheoretischen und algebraischen Zusammenhange, die sowohl Trajektoriensteuerungen als auch den Entwurf robuster stabilisierender Regler sowie die zeitkontinuierliche Behandlung von Abtastregelkreisen ermoglichen. Zahlreiche Beispiele illustrieren die Anwendung der allgemeinen Gesetzmassigkeiten. Bei der Modellierung von Regelstrecken werden die unvermeidlichen Unbestimmtheiten berucksichtigt.

Das Werk liegt nun in der zweiten,...

The "language-communication-society" triangle defies traditional scientific approaches. Rather, it is a phenomenon that calls for an integration of complex, transdisciplinary perspectives, if we are to make any progress in understanding how it works. The highly diverse agents in play are not merely cognitive and/or cultural, but also emotional and behavioural in their specificity. Indeed, the effort may require building a theoretical and methodological body of knowledge that can effectively convey the characteristic properties of phenomena in human terms.

New complexity approaches...

Robust design--that is, managing design uncertainties such as model uncertainty or parametric uncertainty--is the often unpleasant issue crucial in much multidisciplinary optimal design work. Recently, there has been enormous practical interest in strategies for applying optimization tools to the development of robust solutions and designs in several areas, including aerodynamics, the integration of sensing (e.g., laser radars, vision-based systems, and millimeter-wave radars) and control, cooperative control with poorly modeled uncertainty, cascading failures in military and civilian...

This book focuses on filtering, control and model-reduction problems for two-dimensional (2-D) systems with imperfect information. The time-delayed 2-D systems covered have system parameters subject to uncertain, stochastic and parameter-varying changes.

After an initial introduction of 2-D systems and the ideas of linear repetitive processes, the text is divided into two parts detailing:

- General theory and methods of analysis and optimal synthesis for 2-D systems; and

- Application of the general theory to the particular case of differential/discrete linear repetitive...