Screen LibraryAdvances in the theory and applications of non-integer order systems 5th Conference on Non-integer Order Calculus and Its Applications, Cracow, Poland /
Presents novel advances in both the theory and applications of non-integer order systems. The main focus is on control and electrical engineering, biomedical engineering, and systems theory.
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| Corporate Authors: | ; |
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| Group Author: | ; ; |
| Published: |
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| Literature type: | Electronic eBook |
| Language: | English |
| Series: |
Lecture notes in electrical engineering,
v.257 |
| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1007/978-3-319-00933-9 |
| Summary: |
Presents novel advances in both the theory and applications of non-integer order systems. The main focus is on control and electrical engineering, biomedical engineering, and systems theory. |
| Carrier Form: | 1 online resource (xv, 323 p.) : ill. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: |
9783319009339 (electronic bk.) 3319009338 (electronic bk.) |
| Index Number: | QA303 |
| CLC: | O17-532 |
| Contents: |
Preface; Contents; Part I Realization Problem; Realization Problem for Descriptor Positive Fractional Continuous-Time Linear Systems; 1 Introduction; 2 Positive Descriptor Fractional Systems and Decomposition of Transfer Matrices; 3 Positive Realizations of Transfer Matrices; 4 Positive Realizations of Strictly Proper Transfer Matrices; 5 Concluding Remarks; References; Positive Stable Minimal Realization of Fractional Discrete-Time Linear Systems; 1 Introduction; 2 Preliminaries and Problem Formulation; 3 Solution of Realization Problem; 3.1 General Transfer Matrix 3.2 L-bounded Transfer Matrix4 Concluding Remarks; References; Part II Stability; Frequency Domain Method for Stability Analysis of Linear Continuous-Time State-Space Systems with Double Fractional Orders; 1 Introduction; 2 Problem Formulation; 3 The Main Results; 4 Illustrative Examples; 5 Concluding Remarks; References; Stability of Fractional Difference Systems with Two Orders; 1 Introduction; 2 Preliminaries; 3 Description of Difference Systems with Two Orders; 4 Lyapunov Stability; 5 Conclusions; References; Stability Conditions of Fractional Discrete-Time Scalar Systems with Two Delays 1 Introduction2 Problem Formulation; 3 Solution of the Problem; 4 Concluding Remarks; References; Part III Controllability, Observability and Optimal Control; Constrained Controllability of h-Difference Linear Systems with Two Fractional Orders; 1 Introduction; 2 h-Fractional Difference; 3 Linear Control Systems with Two Orders; 4 Constrained Control; 5 Conclusions and Future Work; References; Observability of Positive Fractional-Order Discrete-Time Systems; 1 Introduction; 2 Linear Discrete-Time Fractional-Order Systems; 3 Observabilty of the Positive Systems; 4 Example; 5 Concluding Remarks 3.2 Examination of the Closed-Loop System3.3 Eigenvalues of the Closed-Loop State Operator; 4 Discussion and Conclusions; References; Fundamental Solutions to the Central Symmetric Space-Time Fractional Heat Conduction Equation and Associated Thermal Stresses; 1 Introduction; 2 Mathematical Preliminaries; 3 Statement and Solution of the Problem; 3.1 The First Cauchy Problem; 3.2 The Second Cauchy Problem; 3.3 The Source Problem; 4 Concluding Remarks; References; Variable Order Fractional Isoperimetric Problem of Several Variables; 1 Introduction; 2 Preliminaries Realization Problem. Realization Problem for Descriptor Positive Fractional Continuous-Time Linear Systems / Positive Stable Minimal Realization of Fractional Discrete-Time Linear Systems / Stability. Frequency Domain Method for Stability Analysis of Linear Continuous-Time State-Space Systems with Double Fractional Orders / Stability of Fractional Difference Systems with Two Orders / Stability Conditions of Fractional Discrete-Time Scalar Systems with Two Delays / Controllability, Observability and Optimal Control. Constrained Controllability of h-Difference Linear Systems with Two Fractional Orders / Observability of Positive Fractional-Order Discrete-Time Systems / Optimal Control Problem for Fractional Dynamic Systems - Linear Quadratic Discrete-Time Case / Distributed Parameter Systems. Stabilization of Wave Equation Using Standard/Fractional Derivative in Boundary Damping / Fundamental Solutions to the Central Symmetric Space-Time Fractional Heat Conduction Equation and Associated Thermal Stresses / Variable Order Fractional Isoperimetric Problem of Several Variables / Mittag-Leffler Pattern in Anomalous Diffusion / Solutions and Approximations. Piecewise Affine Representation of Discrete in Time, Non-integer Order Systems / Exact Solution of Two-Term Nonlinear Fractional Differential Equation with Sequential Riemann-Liouville Derivatives / Laguerre Polynomial Approximation of Fractional Order Linear Systems / Solutions of Systems with Two-Terms Fractional Difference Operators / Comparison of h-Difference Fractional Operators / Applications. Reflection Symmetry in Fractional Calculus - Properties and Applications / A General Fractional-Order Thermal Model for Buildings and Its Properties / Heat Transfer Modeling in Ceramic Materials Using Fractional Order Equations / |