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Record Nr. |
UNINA9910647243003321 |
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Titolo |
Nonlinear Systems : Dynamics, Control, Optimization and Applications to the Science and Engineering / / edited by Quanxin Zhu |
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Pubbl/distr/stampa |
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[Place of publication not identified] : , : MDPI - Multidisciplinary Digital Publishing Institute, , 2023 |
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ISBN |
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Descrizione fisica |
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1 online resource (232 pages) |
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Disciplina |
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Soggetti |
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Mathematics - Data processing |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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About the Editor vii -- Nonlinear Systems: Dynamics, Control, Optimization and Applications to the Science and Engineering 1 -- Eliminating Stick-Slip Vibrations in Drill-Strings with a Dual-Loop Control Strategy Optimised by the CRO-SL Algorithm 3 -- Global Stability of Delayed Ecosystem via Impulsive Differential Inequality and Minimax Principle 19 -- Improved Rotor Flux and Torque Control Based on the Third-Order Sliding Mode Scheme Applied to the Asynchronous Generator for the Single-Rotor Wind Turbine 31 -- Finite-Time Passivity Analysis of Neutral-Type Neural Networks with Mixed Time-Varying Delays 47 -- Research on Intellectualized Location of Coal Gangue Logistics Nodes Based on Particle Swarm Optimization and Quasi-Newton Algorithm 73 -- Symbolic Regulator Sets for a Weakly Nonlinear Discrete Control System with a Small Step 91 -- Operator Methods of the Maximum Principle in Problems of Optimization of Quantum Systems 105 -- Uniform Persistence and Global Attractivity in a Delayed Virus Dynamic Model withApoptosis and Both Virus-to-Cell and Cell-to-Cell Infections 119 -- Adaptive Evolutionary Computation for Nonlinear Hammerstein Control Autoregressive Systems with Key Term Separation Principle 135 -- Stability of Impulsive Stochastic Delay Systems with Markovian Switched Delay Effects 155 -- Neural Adaptive Fixed-Time Attitude Stabilization and Vibration Suppression of Flexible Spacecraft 167 -- Optimal Timing Fault Tolerant Control for Switched Stochastic Systems with Switched Drift Fault 185 -- Synchronization of |
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Epidemic Systems with Neumann Boundary Value under Delayed Impulse 201 -- Analysis of Equilibrium Points in Quantized Hill System 211. |
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Sommario/riassunto |
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Open Mathematics is a challenging notion for theoretical modeling, technical analysis, and numerical simulation in physics and mathematics, as well as in many other fields, as highly correlated nonlinear phenomena, evolving over a large range of time scales and length scales, control the underlying systems and processes in their spatiotemporal evolution. Indeed, available data, be they physical, biological, or financial, and technologically complex systems and stochastic systems, such as mechanical or electronic devices, can be managed from the same conceptual approach, both analytically and through computer simulation, using effective nonlinear dynamics methods. The aim of this Special Issue is to highlight papers that show the dynamics, control, optimization and applications of nonlinear systems. This has recently become an increasingly popular subject, with impressive growth concerning applications in engineering, economics, biology, and medicine, and can be considered a veritable contribution to the literature. Original papers relating to the objective presented above are especially welcome subjects. Potential topics include, but are not limited to: Stability analysis of discrete and continuous dynamical systems; Nonlinear dynamics in biological complex systems; Stability and stabilization of stochastic systems; Mathematical models in statistics and probability; Synchronization of oscillators and chaotic systems; Optimization methods of complex systems; Reliability modeling and system optimization; Computation and control over networked systems. |
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2. |
Record Nr. |
UNINA9911007078403321 |
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Autore |
Rosenlicht Maxwell |
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Titolo |
Introduction to Analysis |
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Pubbl/distr/stampa |
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Newburyport, : Dover Publications, 2012 |
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ISBN |
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9780486134680 |
0486134687 |
9781621986324 |
1621986322 |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (455 p.) |
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Collana |
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Dover Books on Mathematics |
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Disciplina |
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Soggetti |
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Mathematical analysis |
Engineering & Applied Sciences |
Applied Mathematics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di contenuto |
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Cover; Title Page; Copyright Page; Preface; Contents; Chapter I. Notions from Set Theory; 1. Sets and elements. Subsets; 2. Operations on sets; 3. Functions; 4. Finite and infinite sets; Problems; Chapter II. The Real Number System; 1. The field properties; 2. Order; 3. The least upper bound property; 4. The existence of square roots; Problems; Chapter III. Metric Spaces; 1. Definition of metric space. Examples; 2. Open and closed sets; 3. Convergent sequences; 4. Completeness; 5. Compactness; 6. Connectedness; Problems; Chapter IV. Continuous Functions |
1. Definition of continuity. Examples 2. Continuity and limits; 3. The continuity of rational operations. Functions with values in En; 4. Continuous functions on a compact metric space; 5. Continuous functions on a connected metric space; 6. Sequences of functions; Problems; Chapter V. Differentiation; 1. The definition of derivative; 2. Rules of differentiation; 3. The mean value theorem; 4. Taylor's theorem; Problems; Chapter VI. Riemann Integration; 1. Definitions and examples; 2. Linearity and order properties of the integral; 3. Existence of the integral |
4. The fundamental theorem of calculus 5. The logarithmic and |
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exponential functions; Problems; Chapter VII. Interchange of Limit Operations; 1. Integration and differentiation of sequences of functions; 2. Infinite series; 3. Power series; 4. The trigonometric functions; 5. Differentiation under the integral sign; Problems; Chapter VIII. The Method of Successive Approximations; 1. The fixed point theorem; 2. The simplest case of the implicit function theorem; 3. Existence and uniqueness theorems for ordinary differential equations; Problems |
Chapter IX. Partial Differentiation 1. Definitions and basic properties; 2. Higher derivatives; 3. The implicit function theorem; Problems; Chapter X. Multiple Integrals; 1. Riemann integration on a closed interval in En. Examples and basic properties; 2. Existence of the integral. Integration on arbitrary subsets of En. Volume; 3. Iterated integrals; 4. Change of variable; Problems; Suggestions for Further Reading; Index |
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Sommario/riassunto |
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<DIV>Written for junior and senior undergraduates, this remarkably clear and accessible treatment covers set theory, the real number system, metric spaces, continuous functions, Riemann integration, multiple integrals, and more. Rigorous and carefully presented, the text assumes a year of calculus and features problems at the end of each chapter. 1968 edition.</DIV> |
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