Complexity and control : towards a rigorous behavioral theory of complex dynamical systems

The book Complexity and Control: Towards a Rigorous Behavioral Theory of Complex Dynamical Systems is a graduate-level monographic textbook, intended to be a novel and rigorous contribution to modern Complexity Theory. This book contains 11 chapters and is designed as a one-semester course for engin...

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Bibliographic Details
Main Authors: Ivancevic, Vladimir G., (Author), Reid, Darryn J., (Author)
Format: eBook
Language: English
Published: New Jersey : World Scientific, [2015]
Series: Series on stability, vibration, and control of systems. volume 20.
Subjects:
Differentiable dynamical systems.
Chaotic behavior in systems.
System analysis.
Control theory.
Computational complexity.
elektronické knihy
electronic books
ISBN: 9789814635875
9814635871
9781680158502
1680158503
9789814635868
9814635863
Physical Description: 1 online resource (xix, 589 pages)

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035 |a (OCoLC)898070240  |z (OCoLC)922951968  |z (OCoLC)986978128 
100 1 |a Ivancevic, Vladimir G.,  |e author. 
245 1 0 |a Complexity and control :  |b towards a rigorous behavioral theory of complex dynamical systems /  |c Vladimir G Ivancevic (Defence Science & Technology Organisation, Australia), Darryn J Reid (Defence Science & Technology Organisation, Australia). 
264 1 |a New Jersey :  |b World Scientific,  |c [2015] 
264 4 |c ©2015 
300 |a 1 online resource (xix, 589 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Series on stability, vibration and control of systems, Series A ;  |v volume 20 
504 |a Includes bibliographical references and index. 
505 0 |a Contents -- Preface -- Acknowledgments -- Glossary of Frequently Used Symbols -- 1 Introduction -- 2 Local Geometrical Machinery for Complexity and Control -- 2.1 Introduction: Why Kahler Manifolds? -- 2.1.1 Dynamical Prologue: Complex Hamiltonian Dynamics -- 2.1.2 Unified Behavioral Picture: Kahler Geometrodynamics -- 2.2 Complex Manifolds and Their Vector Bundles -- 2.2.1 Behavioral Dynamics on Complex Plane -- Behavioral dynamics in the complex plane C -- Holomorphic functions and their differential operators in C -- Residues of meromorphic functions in C 
505 8 |a 2.2.2 3D Rotations: Spinors2.2.3 Attractor Dynamics on Riemann Surfaces -- Why Riemann surfaces? -- 2.2.4 Complex Manifolds and Vector Bundles -- 2.2.5 (Co)Tangent Spaces to the Complex Manifold -- 2.2.6 Complex Vector Bundles -- 2.3 From Kalman Systems to Riemann Manifolds -- 2.4 Basic Kahler Geometry -- 2.4.1 Essential Kahler Tensors and Cohomology Groups -- 2.4.2 Global Kahler Geometry -- Fano manifolds -- Kahler structures -- Two Kahler structures and two alternative points of view -- 2.4.3 Local Kahler Geometry -- Symplectic coordinates 
505 8 |a 2.4.4 Invariant Hamiltonian Dynamics on Kahler Manifolds2.5 Dynamics on Quaternion-Kahler Manifolds -- 2.5.1 Quaternion-Kahler Manifolds -- 2.5.2 Hamiltonian Dynamics on Quaternion-Kahler Manifolds -- 2.5.3 Lagrangian Dynamics on Quaternion-Kahler Manifolds -- 2.6 Kahler-Ricci-Flow Framework -- 2.6.1 Motivation for the Kahler-Ricci Flow -- 2.6.2 Ricci Flow on a Kahler Manifold -- 2.6.3 Definition of the Kahler-Ricci Flow -- 2.6.4 Evolution of the Kahler-Perelman Entropy -- 2.7 Summary of Kahler-Ricci Geometrical Dynamics -- 2.8 Appendix 
505 8 |a ""2.8.1 Real Banach and Complex Hilbert Spaces""""2.8.2 From Linear to Nonlinear MIMO Control Theory""; ""Kalmanâ€?s Linear State-Space Formalism""; ""Basics of Kalman Filtering""; ""Extended (Nonlinear) Kalman Filter""; ""Ensemble Kalman Filter and Nonlinear Estimation""; ""Affine Nonlinear Control System""; ""Lie Derivative and Lie Bracket in Control Theory""; ""Example: Car-Parking Using Lie Brackets""; ""2.8.3 Basic Complexity Geometrodynamics""; ""Basic Tensor Machinery""; ""Tensor Derivatives on Riemannian Manifolds""; ""Covariant Form of Gradient, Divergence, Curl and Laplacian"" 
505 8 |a ""The Absolute Derivative and 3D Curve Geometry""""Covariant state equation""; ""Basic Exterior Machinery""; ""Basic Manifold Machinery""; ""Tensor Fields and Bundles""; ""Basic de Rham Machinery""; ""Exterior Lagrangian Systems""; ""Basic Gauge Fields""; ""Basic Lie Groups and Their Lie Algebras""; ""2.8.4 Advanced Complexity Geometrodynamics""; ""Basic Riemannian-Ricci Machinery""; ""Basic Hamiltonian Machinery""; ""Pontryaginâ€?s Maximum Principle""; ""Affine Control Systems""; ""Basic Hodge Machinery""; ""Basic Applications to Quantum Field Theory""; ""Lie Algebra-Valued Exterior Forms"" 
506 |a Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty 
520 |a The book Complexity and Control: Towards a Rigorous Behavioral Theory of Complex Dynamical Systems is a graduate-level monographic textbook, intended to be a novel and rigorous contribution to modern Complexity Theory. This book contains 11 chapters and is designed as a one-semester course for engineers; applied and pure mathematicians; theoretical and experimental physicists; computer and economic scientists; theoretical chemists and biologists, as well as all mathematically educated scientists and students, both in industry and academia, interested in predicting and controlling complex dynamical systems of arbitrary nature. 
590 |a Knovel  |b Knovel (All titles) 
650 0 |a Differentiable dynamical systems. 
650 0 |a Chaotic behavior in systems. 
650 0 |a System analysis. 
650 0 |a Control theory. 
650 0 |a Computational complexity. 
655 7 |a elektronické knihy  |7 fd186907  |2 czenas 
655 9 |a electronic books  |2 eczenas 
700 1 |a Reid, Darryn J.,  |e author. 
776 0 8 |i Print version:  |a Ivancevic, Vladimir G.  |t Complexity and control.  |d New Jersey : World Scientific, [2014]  |z 9789814635868  |w (DLC) 2014038712  |w (OCoLC)897436901 
830 0 |a Series on stability, vibration, and control of systems.  |n Series A ;  |v volume 20. 
856 4 0 |u https://proxy.k.utb.cz/login?url=https://app.knovel.com/hotlink/toc/id:kpCCTRBTC2/complexity-and-control?kpromoter=marc  |y Full text 

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