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Dynamics and control of hybrid mechanical systems [[electronic resource] /] / edited by Gennady Leonov ... [et al.]
| Dynamics and control of hybrid mechanical systems [[electronic resource] /] / edited by Gennady Leonov ... [et al.] |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, c2010 |
| Descrizione fisica | 1 online resource (264 p.) |
| Disciplina | 003/.75 |
| Altri autori (Persone) |
LeonovG. A (Gennadiĭ Alekseevich)
BlekhmanI. I (Ilʹi͡a Izrailevich) |
| Collana | World Scientific series on nonlinear science. Series B, Special theme issues and proceedings |
| Soggetto topico |
Hybrid systems
Control theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-76134-X
9786612761348 981-4282-32-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Biography: Ilya Izrailevich Blekhman; Contents; 1. Huijgens' Synchronization: A Challenge H. Nijmeijer, A.Y. Pogromsky; 2. Lyapunov Quantities and Limit Cycles of Two-dimensional Dynamical Systems N.V. Kuznetsov, G.A. Leonov; 3. Absolute Observation Stability for Evolutionary Variational Inequalities G.A. Leonov, V. Reitman; 4. A Discrete-time Hybrid Lurie Type System V.N. Belykh, B. Ukrainsky; 5. Frequency Domain Performance Analysis of Marginally Stable LTI Systems with Saturation R.A. van den Berg, A.Y. Pogromsky, J.E. Rooda
6. Reduction of Steady-State Vibrations in a Piecewise Linear Beam System using Proportional and Derivative Control R.H.B. Fey, R.M.T. Wouters, H. Nijmeijer7. Hybrid Quantised Observer for Multi-input-multi- output Nonlinear Systems A.L. Fradkov, B.R. Andrievskiy, R.J. Evans; 8. Tracking Control of Multiconstraint Nonsmooth Lagrangian Systems C. Morarescu, B. Brogliato, T. Nguyen; 9. Stability and Control of Lur'e-type Measure Di®erential Inclusions N. van de Wouw, R. I. Leine 10. Synchronization between Coupled Oscillators: An Experimental Approach D.J. Rijlaarsdam, A.Y. Pogromsky, H. Nijmeijer11. Swinging Control of Two-pendulum System under Energy Constraints M. S. Ananyevskiy, A.L. Fradkov, H. Nijmeijer; 12. Two Van der Pol-Duffing Oscillators with Huygens Coupling V.N. Belykh, E.V. Pankratova, A.Y. Pogromsky; 13. Synchronization of Diffusively Coupled Electronic Hindmarsh-Rose Oscillators E. Steur, L. Kodde, H. Nijmeijer; 14. Multipendulum Mechatronic Setup for Studying Control and Synchronization A.L. Fradkov, B.R. Andrievskiy, K.B. Boykov, B.P. Lavrov 15. High-frequency Effects in 1D Spring-mass Systems with Strongly Non-linear Inclusions B.S. Lazarov, S.O. Snaeland, J.J. Thomsen |
| Record Nr. | UNINA-9910456146403321 |
| Hackensack, N.J., : World Scientific, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Dynamics and control of hybrid mechanical systems [[electronic resource] /] / edited by Gennady Leonov ... [et al.]
| Dynamics and control of hybrid mechanical systems [[electronic resource] /] / edited by Gennady Leonov ... [et al.] |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, c2010 |
| Descrizione fisica | 1 online resource (264 p.) |
| Disciplina | 003/.75 |
| Altri autori (Persone) |
LeonovG. A (Gennadiĭ Alekseevich)
BlekhmanI. I (Ilʹi͡a Izrailevich) |
| Collana | World Scientific series on nonlinear science. Series B, Special theme issues and proceedings |
| Soggetto topico |
Hybrid systems
Control theory |
| ISBN |
1-282-76134-X
9786612761348 981-4282-32-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Biography: Ilya Izrailevich Blekhman; Contents; 1. Huijgens' Synchronization: A Challenge H. Nijmeijer, A.Y. Pogromsky; 2. Lyapunov Quantities and Limit Cycles of Two-dimensional Dynamical Systems N.V. Kuznetsov, G.A. Leonov; 3. Absolute Observation Stability for Evolutionary Variational Inequalities G.A. Leonov, V. Reitman; 4. A Discrete-time Hybrid Lurie Type System V.N. Belykh, B. Ukrainsky; 5. Frequency Domain Performance Analysis of Marginally Stable LTI Systems with Saturation R.A. van den Berg, A.Y. Pogromsky, J.E. Rooda
6. Reduction of Steady-State Vibrations in a Piecewise Linear Beam System using Proportional and Derivative Control R.H.B. Fey, R.M.T. Wouters, H. Nijmeijer7. Hybrid Quantised Observer for Multi-input-multi- output Nonlinear Systems A.L. Fradkov, B.R. Andrievskiy, R.J. Evans; 8. Tracking Control of Multiconstraint Nonsmooth Lagrangian Systems C. Morarescu, B. Brogliato, T. Nguyen; 9. Stability and Control of Lur'e-type Measure Di®erential Inclusions N. van de Wouw, R. I. Leine 10. Synchronization between Coupled Oscillators: An Experimental Approach D.J. Rijlaarsdam, A.Y. Pogromsky, H. Nijmeijer11. Swinging Control of Two-pendulum System under Energy Constraints M. S. Ananyevskiy, A.L. Fradkov, H. Nijmeijer; 12. Two Van der Pol-Duffing Oscillators with Huygens Coupling V.N. Belykh, E.V. Pankratova, A.Y. Pogromsky; 13. Synchronization of Diffusively Coupled Electronic Hindmarsh-Rose Oscillators E. Steur, L. Kodde, H. Nijmeijer; 14. Multipendulum Mechatronic Setup for Studying Control and Synchronization A.L. Fradkov, B.R. Andrievskiy, K.B. Boykov, B.P. Lavrov 15. High-frequency Effects in 1D Spring-mass Systems with Strongly Non-linear Inclusions B.S. Lazarov, S.O. Snaeland, J.J. Thomsen |
| Record Nr. | UNINA-9910780890003321 |
| Hackensack, N.J., : World Scientific, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Revisiting Fibonacci numbers through a computational experiment / / Sergei Abramovich and Gennady A. Leonov
| Revisiting Fibonacci numbers through a computational experiment / / Sergei Abramovich and Gennady A. Leonov |
| Autore | Abramovich Sergei |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | New York : , : Nova Science Publishers, Incorporated, , [2019] |
| Descrizione fisica | 1 online resource (264 pages) |
| Disciplina | 512.72 |
| Collana | Education in a competitive and globalizing world series |
| Soggetto topico | Fibonacci numbers |
| ISBN |
9781536149067
1536149063 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Revisiting Fibonacci Numbers through a Computational Experiment -- Revisiting Fibonacci Numbers through a Computational Experiment -- Contents -- Preface -- Acknowledgments -- Chapter 1 -- Theoretical Background: Fibonacci Numbers as a Framework for Information vs. Explanation Cognitive Paradigm -- 1.1. Introduction -- 1.2. Goals of the Book -- 1.3. A Pedagogy of the Book -- 1.4. Collateral Learning and Hidden Mathematics Curriculum -- 1.5. TITE Problems as a Framework for the Information vs. Explanation Paradigm -- 1.6. Summary -- Chapter 2 -- From Fibonacci Numbers to Fibonacci-Like Polynomials -- 2.1. The Binary Number System and Fibonacci Numbers -- 2.2. Different Representations of Fibonacci Numbers -- 2.3. Fibonacci Numbers and Pascal's Triangle -- 2.4. Hidden Mathematics Curriculum of Pascal's Triangle -- 2.5. Binomial Coefficients and Fibonacci Numbers -- 2.6. From Pascal's Triangle to Fibonacci-Like Polynomials -- 2.7. Other Classes of Polynomials Associated with Fibonacci Numbers -- 2.8. Summary -- Chapter 3 -- Different Approaches to the Development of Binet's Formulas -- 3.1. Fibonacci-Like Numbers -- 3.2. Parameterization of Fibonacci Recursion -- 3.3. Deriving Binet's Formulas for Recurrence (3.8) Using The Machinery of Matrices -- 3.4. Generating Function Approach to the Derivation of Binet's Formulas -- 3.4.1. The Case of Fibonacci Numbers -- 3.4.2. The Case of Lucas Numbers -- 3.4.3. The Case of Matijasevic Numbers -- 3.4.4. The Case of Jacobsthal Numbers -- 3.5. Characteristic Equation Approach -- 3.5.1. The Case of Fibonacci Numbers -- 3.5.2. The Case of Lucas Numbers -- 3.5.3. The Case of Matijasevic Numbers -- 3.5.4. The Case of Jacobsthal Numbers -- 3.6. Continued Fractions and the Golden Ratio -- 3.7. Leibniz Diagrams as Level Lines for Eigenvalues.
3.8. Limiting Behavior of the Ratios , - + ./, - . -- 3.9. Summary -- Chapter 4 -- Fibonacci Sieves and Their Representation through Difference Equations -- 4.1. Fibonacci Sieve of Order K and Its Difference Equation -- 4.2. Connecting Fibonacci Sieves to Modern Mathematics -- 4.3. Constructing (r, k)-Section of Fibonacci Numbers as a TITE Exploration -- 4.4. The Golden Ratio as an Invariant for Fibonacci-Like Sequences -- 4.4.1. The Case of Fibonacci and Lucas Number Sequences -- 4.4.2. The Case of Fibonacci-Like Number Sequences -- 4.5. Computational Experiments with Fibonacci-Like Sieves -- 4.6. Summary -- Chapter 5 -- TITE Explorations of Generalized Golden Ratios -- 5.1. Introduction -- 5.2. Convergence to a Generalized Golden Ratio -- 5.3. Disappearance of the Golden Ratio -- 5.4. Constructing Cycles of Higher Periods -- 5.5. Summary -- Chapter 6 -- Exploring Cycles Using a Combination of Digital Tools -- 6.1. Verifying Theory Through Experiment -- 6.2. Recursive Computing of Coefficients of Fibonacci-Like Polynomials -- 6.3. Generating Fibonacci-Like Polynomials Using Maple -- 6.4. On the Existence of a Cycle of an Arbitrary Large Period -- 6.5. Summary -- Chapter 7 -- Method of Iterations and Fibonacci-Like Polynomials -- 7.1. Developing Iterative Formulas in the General Case -- 7.2. Connecting Iterative Formulas to Some Known Sequences of Numbers -- 7.3. Geometric Interpretation of the Method of Iterations -- 7.4. Building Connections to Other Sequences Included into the OEIS( -- 7.5. Method of Iterations in the Case of the Polynomials , - ., . and , - ., . -- 7.6. Method of Iterations in the Case of a Fibonacci-Like Polynomial of Degree Four -- 7.7. Summary -- Chapter 8 -- Identities for Fibonacci-Like Polynomials -- 8.1. Introduction -- 8.2. Additive Identities Among Fibonacci-Like Polynomials. 8.3. Multiplicative Identities Among Fibonacci-Like Polynomials -- 8.4. Polynomial Generalizations of Cassini's Identity -- 8.5. Conjecturing Polynomial Forms of Catalan's Identity -- 8.6. Summary -- Chapter 9 -- Uncovering Hidden Patterns in the Oscillations of Generalized Golden Ratios -- 9.1. On The Roots of Fibonacci-Like Polynomials -- 9.2. Permutations with Rises/Falls and the Directions of Cycles -- 9.3. Recognizing the Nature of Permutations of the Elements of a Three-Cycle -- 9.4. Permutations of the Elements of a Four-Cycle -- 9.5. Permutations of the Elements of a Five-Cycle -- 9.6. Generalizing from Observations -- 9.7. Proof of Proposition 9.3 -- 9.8. Circular Diagrams and Oscillations Associated with the Largest Root -- 9.9. Summary -- References -- About the Authors -- Index -- Blank Page -- Blank Page. |
| Record Nr. | UNINA-9911026160603321 |
Abramovich Sergei
|
||
| New York : , : Nova Science Publishers, Incorporated, , [2019] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Stability of stationary sets in control systems with discontinuous nonlinearities [[electronic resource] /] / V.A. Yakubovich, G.A. Leonov, A. Kh. Gelig
| Stability of stationary sets in control systems with discontinuous nonlinearities [[electronic resource] /] / V.A. Yakubovich, G.A. Leonov, A. Kh. Gelig |
| Autore | I͡Akubovich V. A (Vladimir Andreevich) |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2004 |
| Descrizione fisica | 1 online resource (352 p.) |
| Disciplina | 629.836 |
| Altri autori (Persone) |
LeonovG. A (Gennadiĭ Alekseevich)
GeligArkadiĭ Khaĭmovich |
| Collana | Series on stability, vibration, and control of systems. Series A |
| Soggetto topico |
Control theory
Nonlinear control theory Set theory System analysis Differential equations, Nonlinear Engineering mathematics Engineering systems |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-93440-2
9786611934408 981-279-423-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; List of Notations ; 1. Foundations of Theory of Differential Equations with Discontinuous Right-Hand Sides ; 1.1 Notion of Solution to Differential Equation with Discontinuous Right-Hand Side
1.1.1 Difficulties encountered in the definition of a solution. Sliding modes 1.1.2 The concept of a solution of a system with discontinuous nonlinearities accepted in this book. Connection with the theory of differential equations with multiple-valued right-hand sides 1.1.3 Relation to some other definitions of a solution to a system with discontinuous right-hand side 1.1.4 Sliding modes. Extended nonlinearity. Example ; 1.2 Systems of Differential Equations with Multiple-Valued Right-Hand Sides (Differential Inclusions) 1.2.1 Concept of a solution of a system of differential equations with a multivalued right-hand side the local existence theorem the theorems on continuation of solutions and continuous dependence on initial values 1.2.2 ""Extended"" nonlinearities ; 1.2.3 Sliding modes 1.3 Dichotomy and Stability 1.3.1 Basic definitions ; 1.3.2 Lyapunov-type lemmas ; 2. Auxiliary Algebraic Statements on Solutions of Matrix Inequalities of a Special Type 2.1 Algebraic Problems that Occur when Finding Conditions for the Existence of Lyapunov Functions from Some Multiparameter Functional Class. Circle Criterion. Popov Criterion |
| Record Nr. | UNINA-9910454324803321 |
|
I͡Akubovich V. A (Vladimir Andreevich)
|
||
| River Edge, NJ, : World Scientific, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Stability of stationary sets in control systems with discontinuous nonlinearities [[electronic resource] /] / V.A. Yakubovich, G.A. Leonov, A. Kh. Gelig
| Stability of stationary sets in control systems with discontinuous nonlinearities [[electronic resource] /] / V.A. Yakubovich, G.A. Leonov, A. Kh. Gelig |
| Autore | I͡Akubovich V. A (Vladimir Andreevich) |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2004 |
| Descrizione fisica | 1 online resource (352 p.) |
| Disciplina | 629.836 |
| Altri autori (Persone) |
LeonovG. A (Gennadiĭ Alekseevich)
GeligArkadiĭ Khaĭmovich |
| Collana | Series on stability, vibration, and control of systems. Series A |
| Soggetto topico |
Control theory
Nonlinear control theory Set theory System analysis Differential equations, Nonlinear Engineering mathematics Engineering systems |
| ISBN |
1-281-93440-2
9786611934408 981-279-423-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; List of Notations ; 1. Foundations of Theory of Differential Equations with Discontinuous Right-Hand Sides ; 1.1 Notion of Solution to Differential Equation with Discontinuous Right-Hand Side
1.1.1 Difficulties encountered in the definition of a solution. Sliding modes 1.1.2 The concept of a solution of a system with discontinuous nonlinearities accepted in this book. Connection with the theory of differential equations with multiple-valued right-hand sides 1.1.3 Relation to some other definitions of a solution to a system with discontinuous right-hand side 1.1.4 Sliding modes. Extended nonlinearity. Example ; 1.2 Systems of Differential Equations with Multiple-Valued Right-Hand Sides (Differential Inclusions) 1.2.1 Concept of a solution of a system of differential equations with a multivalued right-hand side the local existence theorem the theorems on continuation of solutions and continuous dependence on initial values 1.2.2 ""Extended"" nonlinearities ; 1.2.3 Sliding modes 1.3 Dichotomy and Stability 1.3.1 Basic definitions ; 1.3.2 Lyapunov-type lemmas ; 2. Auxiliary Algebraic Statements on Solutions of Matrix Inequalities of a Special Type 2.1 Algebraic Problems that Occur when Finding Conditions for the Existence of Lyapunov Functions from Some Multiparameter Functional Class. Circle Criterion. Popov Criterion |
| Record Nr. | UNINA-9910782119603321 |
|
I͡Akubovich V. A (Vladimir Andreevich)
|
||
| River Edge, NJ, : World Scientific, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||