Autore	Zhu Yunpeng
Pubbl/distr/stampa	Cham, Switzerland : , : Springer, , [2021]
Descrizione fisica	1 online resource (xxi, 164 pages) : illustrations
Disciplina	003.75
Collana	Springer Theses, Recognizing Outstanding Ph.D. Research
Soggetto topico	Nonlinear systems - Mathematical models Volterra equations Sistemes no lineals Models matemàtics Equacions de Volterra
Soggetto genere / forma	Llibres electrònics
ISBN	3-030-70833-0
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Intro -- Supervisor's Foreword -- Preface -- Acknowledgements -- Contents -- Contributors -- Abbreviations -- 1 Introduction -- 1.1 Background -- 1.1.1 Modelling of Nonlinear Systems -- 1.1.2 Frequency Domain Analysis and Design of Nonlinear Systems -- 1.1.3 LS Methods in Nonlinear System Analyses -- 1.1.4 Convergence Issues with the Frequency Analysis of Nonlinear Systems -- 1.2 Aim, Objectives and Contributions -- 1.3 Thesis Layout -- References -- 2 Nonlinear Systems and the Frequency Domain Representations -- 2.1 Introduction -- 2.2 Polynomial Models of Nonlinear Systems -- 2.2.1 The NDE Model of Nonlinear Systems -- 2.2.2 The Polynomial NARX Model of Nonlinear Systems -- 2.2.3 The NARX-M-for-D of Nonlinear Systems -- 2.3 The Frequency Domain Representations of Nonlinear Systems -- 2.3.1 The Volterra Series Representation -- 2.3.2 The Generalised Frequency Response Functions (GFRFs) of Nonlinear Systems -- 2.3.3 The Nonlinear Output Frequency Response Functions (NOFRFs) of Nonlinear Systems -- 2.3.4 The Output Frequency Response Function (OFRF) of Nonlinear Systems -- 2.4 Conclusions -- References -- 3 Generalized Associated Linear Equations (GALEs) with Applications to Nonlinear System Analyses -- 3.1 Introduction -- 3.2 The Associated Linear Equations (ALEs) of Nonlinear Systems -- 3.2.1 The ALEs of Duffing Equations -- 3.2.2 The ALEs of the NARX Model -- 3.3 The Generalized Associated Linear Equations (GALEs) -- 3.3.1 The Concept of the GALEs -- 3.3.2 Determination of the GALEs -- 3.4 System Analyses Using the GALEs -- 3.4.1 Evaluation of the Output Response of Nonlinear Systems -- 3.4.2 Evaluation of the NOFRFs of Nonlinear Systems -- 3.4.3 Evaluation of the OFRF of Nonlinear Systems -- 3.5 Application of the GALEs to Nonlinear System Modelling, Fault Diagnosis, and Design. 3.5.1 Application to the Identification of the NDE Model of a Nonlinear System -- 3.5.2 Application to the NOFRFs Based Fault Diagnosis -- 3.5.3 Application to the OFRFs Based Design of Nonlinear Energy Harvester Systems -- 3.6 Conclusions -- References -- 4 The Convergence of the Volterra Series Representation of Nonlinear Systems -- 4.1 Introduction -- 4.2 The NARX Model in the Frequency Domain: Nonlinear Output Characteristic Spectra (NOCS) Model -- 4.3 The Generalized Output Bound Characteristic Function (GOBCF) Based Convergence Analysis -- 4.3.1 A Sufficient Condition of the Convergence -- 4.3.2 The Determination of the GOBCF -- 4.3.3 Convergence Analysis of the Volterra Series Representation of Nonlinear Systems -- 4.3.4 The Procedure for the New Convergence Analysis -- 4.4 Case Studies -- 4.4.1 Case 1-Unplugged Van der Pol Equation -- 4.4.2 Case 2-Duffing Oscillator with Cubic Damping -- 4.5 Conclusions -- References -- 5 The Effects of Both Linear and Nonlinear Characteristic Parameters on the Output Response of Nonlinear Systems -- 5.1 Introduction -- 5.2 The OFRF Based Design of NARX-M-for-D -- 5.2.1 The OFRF of the NARX-M-for-D -- 5.2.2 The Determination of the OFRF of NARX-M-for-D -- 5.2.3 The OFRF Based Design of Nonlinear Systems -- 5.3 The Associated Output Frequency Response Function (AOFRF) -- 5.3.1 Explicit Relationships Between the GFRFs and the Parameters of the NARX Model -- 5.3.2 Two Special Cases -- 5.3.3 The Concept of the Associated Output Frequency Response Function (AOFRF) -- 5.3.4 The AOFRF in Terms of the System Linear and Nonlinear Characteristic Parameters -- 5.3.5 The AOFRF Based Representation of the Output Frequency Response of Nonlinear Systems -- 5.4 Case Studies -- 5.4.1 Case Study 1-The OFRF Based Design of the Vibration Isolation System. 5.4.2 Case Study 2-The AOFRF Based Representation of the Output Spectrum of a Duffing Nonlinear System -- 5.5 Conclusions -- References -- 6 Nonlinear Damping Based Semi-active Building Isolation System -- 6.1 Introduction -- 6.2 Semi-active Damping System for the Sosokan Building -- 6.2.1 The Sosokan Building and Its Model Representation -- 6.2.2 Semi-active Damping System for the Sosokan Building -- 6.3 Nonlinear Damping Based Semi-active Building Vibration Isolation -- 6.4 Simulation Studies -- 6.4.1 Objectives of Nonlinear Damping Design -- 6.4.2 Effects of Nonlinear Damping Coefficient -- 6.4.3 Effects of Ground Excitation Magnitude -- 6.4.4 Isolation Performance on Higher Floors -- 6.4.5 Isolation Performance in Terms of the Roof Drift -- 6.4.6 Isolation Performance in Terms of Harmonics and a Comparison with the Performance Under LQG Control -- 6.5 Experimental Validation -- 6.6 Conclusions -- References -- 7 Conclusions -- 7.1 Main Contributions of the Present Research -- 7.2 Future Works -- Appendix A Sampling Frequency Independence -- Appendix B Proof of Lemma 5.1.
Record Nr.	UNINA-9910484062803321

Autore	Lee Hong-Gi
Pubbl/distr/stampa	Singapore : , : Springer, , [2022]
Descrizione fisica	1 online resource (591 pages)
Disciplina	512.55
Soggetto topico	Lie algebras Nonlinear control theory Sistemes no lineals Teoria de control Àlgebres de Lie
Soggetto genere / forma	Llibres electrònics
ISBN	9789811936432 9789811936425
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Record Nr.	UNISA-996490347703316

Edizione	[1st ed. 2022.]
Pubbl/distr/stampa	Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022
Descrizione fisica	1 online resource (496 pages)
Disciplina	530.15
Collana	Nonlinear Systems and Complexity
Soggetto topico	Multibody systems Vibration Mechanics, Applied Mathematical models Computational complexity Engineering mathematics Engineering - Data processing Multibody Systems and Mechanical Vibrations Mathematical Modeling and Industrial Mathematics Computational Complexity Mathematical and Computational Engineering Applications Sistemes no lineals
Soggetto genere / forma	Llibres electrònics
ISBN	9783031066320 9783031066313
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Analysis of the temporal evolution of Plumeria bud by measuring its complex impedance: Detection of the fractal element with complex conjugated power-law exponents -- On the stochastic extension of the classical epidemiological compartmental model -- Repellers for the Laguerre Iteration Function -- Mathematical modeling of HBV infection with DNA-containing capsids and therapy -- New fractional derivative for fuzzy functions and its applications on time scale -- A novel high-efficiency piezoelectric energy harvester designed to harvest energy from random excitation -- Random vibration of one-dimensional acoustic black hole beam -- Statistics of topological defects in one-dimensional structures based on the Kibble Zurek Mechanism -- Dynamical analysis of a Prabhakar fractional chaotic autonomous system -- Exact solutions of two PDEs which govern the 3D Inverse Problem of Dynamics -- Target Tracking Algorithm based on YOLOv3 And Feature Point Matching -- Composition of Fuzzy Numbers with Chaotic Maps -- Invariant Manifolds in the Second Order Maxwell Bloch Equations -- Geometric parametrisation of Lagrangian Descriptors for 1 degree-of-freedom systems -- Computing chaotic eigenvectors in narrow 1 energy windows -- Analytical and experimental study of a Hindmarsh-Rose neuron system -- Pricing Options Under Time-Fractional Model using Adomian Decomposition -- Dynamical Analysis of a Three-Dimensional Non-Autonomous Chaotic Circuit Based on a Physical Memristor -- Compartmental Poisson stability in non-autonomous differential equations -- A computational probabilistic calibration of the Pielou’s model to study the growth of breast tumours. A comparative study -- About the simulations of Maxwell equations. Some applications -- A Pandemic Three-Sided Coin -- Global stability analysis of two-strain SEIR epidemic model with quarantine strategy.
Record Nr.	UNISA-996495168803316

Autore	Adamy Jürgen
Edizione	[2nd ed. 2024.]
Pubbl/distr/stampa	Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2024
Descrizione fisica	1 online resource (760 pages)
Disciplina	629.836
Soggetto topico	Automatic control Computational intelligence Robotics Control and Systems Theory Computational Intelligence Robotic Engineering Sistemes no lineals
Soggetto genere / forma	Llibres electrònics
ISBN	9783662686904 3662686902
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Fundamentals of nonlinear systems -- Limit cycles and stability criteria -- Controllability and flatness -- Control for linear controlled systems -- Control for nonlinear controlled systems -- Control for linear and nonlinear controlled systems -- Observers for nonlinear systems -- Dictionary.
Record Nr.	UNINA-9910847075303321

Autore	Simon Dan <1960->
Pubbl/distr/stampa	Hoboken, N.J., : Wiley-Interscience, c2006
Descrizione fisica	1 online resource (554 p.)
Disciplina	629.8/312
Soggetto topico	Kalman, Filtratge de Sistemes no lineals Optimització matemàtica Kalman filtering Nonlinear systems Mathematical optimization
ISBN	9786610507955 9781280507953 1280507950 9780470045343 0470045345 9781615834761 1615834761 9780470045336 0470045337
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Optimal State Estimation; CONTENTS; Acknowledgments; Acronyms; List of algorithms; Introduction; PART I INTRODUCTORY MATERIAL; 1 Linear systems theory; 1.1 Matrix algebra and matrix calculus; 1.1.1 Matrix algebra; 1.1.2 The matrix inversion lemma; 1.1.3 Matrix calculus; 1.1.4 The history of matrices; 1.2 Linear systems; 1.3 Nonlinear systems; 1.4 Discretization; 1.5 Simulation; 1.5.1 Rectangular integration; 1.5.2 Trapezoidal integration; 1.5.3 Runge-Kutta integration; 1.6 Stability; 1.6.1 Continuous-time systems; 1.6.2 Discrete-time systems; 1.7 Controllability and observability 1.7.1 Controllability1.7.2 Observability; 1.7.3 Stabilizability and detectability; 1.8 Summary; Problems; 2 Probability theory; 2.1 Probability; 2.2 Random variables; 2.3 Transformations of random variables; 2.4 Multiple random variables; 2.4.1 Statistical independence; 2.4.2 Multivariate statistics; 2.5 Stochastic Processes; 2.6 White noise and colored noise; 2.7 Simulating correlated noise; 2.8 Summary; Problems; 3 Least squares estimation; 3.1 Estimation of a constant; 3.2 Weighted least squares estimation; 3.3 Recursive least squares estimation; 3.3.1 Alternate estimator forms 3.3.2 Curve fitting3.4 Wiener filtering; 3.4.1 Parametric filter optimization; 3.4.2 General filter optimization; 3.4.3 Noncausal filter optimization; 3.4.4 Causal filter optimization; 3.4.5 Comparison; 3.5 Summary; Problems; 4 Propagation of states and covariances; 4.1 Discrete-time systems; 4.2 Sampled-data systems; 4.3 Continuous-time systems; 4.4 Summary; Problems; PART II THE KALMAN FILTER; 5 The discrete-time Kalman filter; 5.1 Derivation of the discrete-time Kalman filter; 5.2 Kalman filter properties; 5.3 One-step Kalman filter equations; 5.4 Alternate propagation of covariance 5.4.1 Multiple state systems5.4.2 Scalar systems; 5.5 Divergence issues; 5.6 Summary; Problems; 6 Alternate Kalman filter formulations; 6.1 Sequential Kalman filtering; 6.2 Information filtering; 6.3 Square root filtering; 6.3.1 Condition number; 6.3.2 The square root time-update equation; 6.3.3 Potter's square root measurement-update equation; 6.3.4 Square root measurement update via triangularization; 6.3.5 Algorithms for orthogonal transformations; 6.4 U-D filtering; 6.4.1 U-D filtering: The measurement-update equation; 6.4.2 U-D filtering: The time-update equation; 6.5 Summary; Problems 7 Kalman filter generalizations7.1 Correlated process and measurement noise; 7.2 Colored process and measurement noise; 7.2.1 Colored process noise; 7.2.2 Colored measurement noise: State augmentation; 7.2.3 Colored measurement noise: Measurement differencing; 7.3 Steady-state filtering; 7.3.1 α-β filtering; 7.3.2 α-β-γ filtering; 7.3.3 A Hamiltonian approach to steady-state filtering; 7.4 Kalman filtering with fading memory; 7.5 Constrained Kalman filtering; 7.5.1 Model reduction; 7.5.2 Perfect measurements; 7.5.3 Projection approaches; 7.5.4 A pdf truncation approach; 7.6 Summary; Problems 8 The continuous-time Kalman filter
Record Nr.	UNINA-9911020163103321