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Format: 1 Online-Ressource (1 online resource (xv, 351 p.)) , ill

Edition: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3

Series Statement: Mathematics in science and engineering v. 135

Note: Description based on print version record. - Rev. ed. of: Dynamical systems and their applications : linear theory. 1977

Additional Edition: Reproduktion von Linear dynamical systems c1987

Language: English

Keywords: Dynamisches System ; Lineares dynamisches System

URL: Volltext

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Format: 1 Online-Ressource (x, 169 p.) , ill. (some col.) , 25 cm

Edition: 1st ed

Edition: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3

ISBN: 0444509445 , 9780444509444

Additional Edition: Reproduktion von Art and complexity 2003

Language: English

Keywords: Kunst ; Wissenschaft ; Konferenzschrift

URL: Volltext

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Format: 1 Online-Ressource (1 online resource (xi, 261 p.)) , ill

Edition: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3

Series Statement: Mathematics in science and engineering v. 175

Note: Description based on print version record , Weitere Ausgabe: Nonlinear system theory

Additional Edition: Reproduktion von Nonlinear system theory 1985

Language: English

Keywords: Systemtheorie ; Nichtlineares System ; Systemanalyse ; Nichtlineare Theorie

URL: Volltext

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Format: 1 online resource (371 p.)

ISBN: 1-282-28971-3 , 9786612289712 , 0-08-095644-0

Series Statement: Mathematics in science and engineering ; v. 135

Content: Linear dynamical systems

Note: Rev. ed. of: Dynamical systems and their applications : linear theory. 1977. , Front Cover; Linear Dynamical Systems; Copyright Page; Contents; Preface to the Revised Edition; Preface to the First Edition; Chapter 1. Basic Concepts, Problems, and Examples; 1.1 Dynamical Systems, Inputs, and Outputs; 1.2 Internal Description of S; 1.3 Realizations; 1.4 Controllability and Observability; 1.5 Stability and Feedback; 1.6 Optimality; 1.7 Stochastic Disturbances; Notes and References; Chapter 2. Mathematical Description of Linear Dynamical Systems; 2.1 Introduction; 2.2 Dynamical Systems; 2.3 External Description; 2.4 Frequency-Domain Analysis; 2.5 Transfer Functions , 2.6 Impulse-Response FunctionNotes and References; Chapter 3. Controllability and Reachability; 3.1 Introduction; 3.2 Basic Definitions; 3.3 Time-Dependent Linear Systems; 3.4 Discrete-Time Systems; 3.5 Constant Systems; 3.6 Positive Controllability; 3.7 Relative Controllability; 3.8 Conditional Controllability; 3.9 Structural Controllability; 3.10 Controllability and Transfer Functions; 3.11 Systems with a Delay; Miscellaneous Exercises; Notes and References; Chapter 4. Observability/Constructibility; 4.1 Introduction; 4.2 Basic Definitions; 4.3 Basic Theorems; 4.4 Duality , 4.5 Functional Analytic Approach to Observability4.6 The Problem of Moments; Miscellaneous Exercises; Notes and References; Chapter 5. Structure Theorems and Canonical Forms; 5.1 Introduction; 5.2 State Variable Transformations; 5.3 Control Canonical Forms; 5.4 Observer Canonical Forms; 5.5 Invariance of Transfer Functions; 5.6 Canonical Forms and the Bezoutiant Matrix; 5.7 The Feedback Group and Invariant Theory; Miscellaneous Exercises; Notes and References; Chapter 6. Realization Theory; 6.1 Introduction; 6.2 Algebraic Equivalence and Minimal Realizability; 6.3 Construction of Realizations , 6.4 Minimal Realization Algorithm6.5 Examples; 6.6 Realization of Transfer Functions; 6.7 Uniqueness of Minimal Realizations; 6.8 Partial Realizations; 6.9 Reduced Order Models and Balanced Realizations; Miscellaneous Exercises; Notes and References; Chapter 7. Stability Theory; 7.1 Introduction; 7.2 Some Examples and Basic Concepts; 7.3 Routh-Hurwicz Methods; 7.4 Lyapunov Method; 7.5 Frequency-Domain Techniques; 7.6 Feedback Control Systems and Stability; 7.7 Modal Control; 7.8 Observers; 7.9 Structural Stability; Miscellaneous Exercises; Notes and References , Chapter 8. The Linear-Quadratic-Gaussian Problem8.1 Motivation and Examples; 8.2 Open-Loop Solutions; 8.3 The Maximum Principle; 8.4 Some Computational Considerations; 8.5 Feedback Solutions; 8.6 Generalized X-Y Functions; 8.7 Optimality versus Stability; 8.8 A Low-Dimensional Alternative to the Algebraic Riccati Equation; 8.9 Computational Approaches for Riccati Equations; 8.10 Structural Stability of the Optimal Closed-Loop System; 8.11 Inverse Problems; 8.12 Linear Filtering Theory and Duality; 8.13 The Separation Principle and Stochastic Control Theory; 8.14 Discrete-Time Problems , 8.15 Generalized X-Y Functions Revisited , English

Additional Edition: ISBN 0-12-163451-5

Language: English

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Format: 1 online resource (275 p.)

ISBN: 1-282-28989-6 , 9786612289897 , 0-08-095865-6

Series Statement: Mathematics in science and engineering ; v. 175

Content: Nonlinear system theory

Note: Description based upon print version of record. , Front Cover; Nonlinear System Theory; Copyright Page; Contents; Preface; Chapter 1. Perspectives and Problems of Nonlinear System Theory; I. A Nonlinear World; II. The Central Questions of System Theory; III. Classes of Nonlinear Processes; IV. Linear versus Nonlinear System Theory; Notes and References; Chapter 2. Mathematical Tools of Nonlinear System Theory; I. Introduction; II. Algebraic Concepts; III. Some Ideas from Differential Geometry; IV. Concepts from Algebraic Geometry; V. Grassmann Manifolds and the Classification Problem; Problems and Exercises; Notes and References , Chapter 3. A Modern View of Linear System TheoryI. Introduction; II. Mathematical Description of a Linear System; III. The Module Structure of θ, r, and ψ; IV. Some System-Theoretic Consequences; V. Transfer Functions; VI. Realization of Transfer Functions; VII. The Construction of Canonical Realizations; VIII. Partial Realizations; IX. Pole-Shifting and Stability; X. Some Geometric Aspects of Linear Systems; XI. Feedback, the McMillan Degree, and Kronecker Indices; Problems and Exercises; Notes and References; Chapter 4. Reachability and Controllability; I. Introduction , II. Basic Definitions and Problem StatementIll. Solution Manifolds for Dynamical Systems; IV. Some General Results; V. Linear-Analytic Systems; VI. The Role of the State Manifold M; VII. Bilinear Systems; VIII. Polynomial Systems; IX. Discrete-Time Systems; X. Input Construction; XI. Control Canonical Form and System Invariants; Problems and Exercises; Notes and References; Chapter 5. Observability, Realization, and Estimation; I. Measurements and State Determination; II. Some Basic Definitions; III. Basic Observability Results; IV. Polynomial Systems; V. Realization Theory , VI. Nonlinear Filtering and EstimationProblems and Exercises; Notes and References; Chapter 6. Stability Theory: Singularities, Bifurcations, and Catastrophes; I. Concepts of Stability; II. Lyapunov Stability; III. The Center Manifold Theorem; IV. Families of Vector Fields and Normal Forms; V. Elementary Bifurcations; VI. Singularity Theory and the Elementary Catastrophes; VII. Applications of Catastrophe Theory; VIII. Chaos and Strange Attractors; IX. Control Systems and Feedback; Problems and Exercises; Notes and References; Index , English

Additional Edition: ISBN 0-12-163452-3

Language: English

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Format: 1 online resource (181 pages)

Edition: 1st ed.

ISBN: 1-281-05730-4 , 9786611057305 , 0-08-052758-2

Content: This title is the result of a one-week workshop sponsored by the Swedish research agency, FRN, on the interface between complexity and art. Among others, it includes discussions on whether ""good"" art is ""complex"" art, how artists see the term ""complex"", and what poets try to convey in word about complex behavior in nature.

Note: Machine generated contents note: Preface --John Casti and Anders Karlqvist --Art and Science-Les Liaisons Dangereuses? -- John D. Barrow --Complexity and Aesthetics: Is Good Art "Complex" Art? -- John Casti --What Lies Between Order and Chaos? -- James P. Crutchfield --Regularities and Randomness: Evolving Schemata in Science -- and the Arts -- Murray Gell-Mann --Drawing, Knowledge, and Intuitive Thinking: Drawing as a Way to Understand and Solve Complex Problems -- Bobo Hjort --Nothing is Hidden -- Anders Karlqvist --Science and Art in Collaboration-The Mindship Method -- Tor Norretranders --Complexity and Emergence in the American Experimental Music Tradition -- Tim Perkis --Modeling Complexity for Interactive Art Works on the Internet -- Christa Sommerer and Laurent Mignonneau --Poetic Voice and the Complexity of Bird Song -- Marcia Southwick Fractal Expressionism-Where Art Meets Science -- Richard Taylor --A Depth-First Traversal of Thinking -- Gail Wight --Color Plates. , English

Additional Edition: ISBN 1-4933-0225-6

Additional Edition: ISBN 0-444-50944-5

Language: English

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Format: x, 169 p. : , ill. (some col.).

Edition: 1st ed.

Edition: Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.

Note: Machine generated contents note: Preface --John Casti and Anders Karlqvist --Art and Science-Les Liaisons Dangereuses? -- John D. Barrow --Complexity and Aesthetics: Is Good Art "Complex" Art? -- John Casti --What Lies Between Order and Chaos? -- James P. Crutchfield --Regularities and Randomness: Evolving Schemata in Science -- and the Arts -- Murray Gell-Mann --Drawing, Knowledge, and Intuitive Thinking: Drawing as a Way to Understand and Solve Complex Problems -- Bobo Hjort --Nothing is Hidden -- Anders Karlqvist --Science and Art in Collaboration-The Mindship Method -- Tor Norretranders --Complexity and Emergence in the American Experimental Music Tradition -- Tim Perkis --Modeling Complexity for Interactive Art Works on the Internet -- Christa Sommerer and Laurent Mignonneau --Poetic Voice and the Complexity of Bird Song -- Marcia Southwick Fractal Expressionism-Where Art Meets Science -- Richard Taylor --A Depth-First Traversal of Thinking -- Gail Wight --Color Plates.

Language: English

Keywords: Electronic books.

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