1.

Record Nr.

UNINA9910299831103321

Titolo

Analysis and Control of Complex Dynamical Systems : Robust Bifurcation, Dynamic Attractors, and Network Complexity / / edited by Kazuyuki Aihara, Jun-ichi Imura, Tetsushi Ueta

Pubbl/distr/stampa

Tokyo : , : Springer Japan : , : Imprint : Springer, , 2015

ISBN

4-431-55013-5

Edizione

[1st ed. 2015.]

Descrizione fisica

1 online resource (215 p.)

Collana

Mathematics for Industry, , 2198-350X ; ; 7

Disciplina

629.8

Soggetti

Vibration

Dynamical systems

Dynamics

Computational complexity

Physics

System theory

Vibration, Dynamical Systems, Control

Complexity

Applications of Graph Theory and Complex Networks

Complex Systems

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references at the end of each chapters and index.

Nota di contenuto

Part I Robust Bifurcation and Control -- Dynamic Robust Bifurcation Analysis -- Robust Bifurcation Analysis Based on Degree of Stability -- Use of a Matrix Inequality Technique for Avoiding Undesirable Bifurcation -- A Method for Constructing a Robust System Against Unexpected Parameter Variation -- Parametric Control to Avoid Bifurcation Based on Maximum Local Lyapunov Exponent -- Threshold Control for Stabilization of Unstable Periodic Orbits in Chaotic Hybrid Systems -- Part II Dynamic Attractor and Control -- Chaotic Behavior of Orthogonally Projective Triangle Folding Map -- Stabilization Control of Quasi-Periodic Orbits -- Feedback Control Method Based on Predicted Future States for Controlling Chaos -- Ultra-Discretization of Nonlinear Control System with Spatial Symmetry -- Feedback Control of Spatial



Patterns in Reaction-Diffusion System -- Control of Unstabilizable Switched Systems -- Part III Complex Networks and Modeling for Control -- Clustered Model Reduction of Large-Scale Bidirectional Networks -- Network Structure Identification from a Small Number of Inputs/Outputs.

Sommario/riassunto

This book is the first to report on theoretical breakthroughs on control of complex dynamical systems developed by collaborative researchers in the two fields of dynamical systems theory and control theory. As well, its basic point of view is of three kinds of complexity: bifurcation phenomena subject to model uncertainty, complex behavior including periodic/quasi-periodic orbits as well as chaotic orbits, and network complexity emerging from dynamical interactions between subsystems. Analysis and Control of Complex Dynamical Systems offers a valuable resource for mathematicians, physicists, and biophysicists, as well as for researchers in nonlinear science and control engineering, allowing them to develop a better fundamental understanding of the analysis and control synthesis of such complex systems.