| Description |
1 online resource (xix, 589 pages). |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Series on stability, vibration and control of systems, Series A ; volume 20
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Series on stability, vibration, and control of systems. Series A ; volume 20.
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| Bibliography |
Includes bibliographical references and index. |
| Contents |
""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"" |
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""2.2.2 3D Rotations: Spinors""""2.2.3 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"" |
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""2.4.4 Invariant Hamiltonian Dynamics on Kahler Manifolds""""2.5 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"" |
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""2.8.1 Real Banach and Complex Hilbert Spaces""""2.8.2 From Linear to Nonlinear MIMO Control Theory""; ""Kalman�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"" |
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""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""; ""Pontryagin�s Maximum Principle""; ""Affine Control Systems""; ""Basic Hodge Machinery""; ""Basic Applications to Quantum Field Theory""; ""Lie Algebra-Valued Exterior Forms"" |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Differentiable dynamical systems.
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Differentiable dynamical systems. |
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Chaotic behavior in systems.
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Chaotic behavior in systems. |
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System analysis.
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System analysis. |
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Control theory.
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Control theory. |
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Computational complexity.
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Computational complexity. |
| Genre/Form |
Electronic books.
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Electronic books.
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| Added Author |
Reid, Darryn J., author.
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| Other Form: |
Print version: Ivancevic, Vladimir G. Complexity and control. New Jersey : World Scientific, [2014] 9789814635868 (DLC) 2014038712 (OCoLC)897436901 |
| ISBN |
9789814635875 electronic book |
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9814635871 electronic book |
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9781680158502 electronic book |
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1680158503 electronic book |
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9789814635868 alkaline paper |
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9814635863 alkaline paper |
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