الصفحة 1
الصفحة 1
Nonlinear Fokker-Planck Equations : Fundamentals and Applications
Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book discusses fundamental properties of transient and stationary solutions, emphasizing the stability analysis of stationary solutions by means of self-consistency equations, linear stability analysis, and Lyapunov's direct method. Also treated are Langevin equations and correlation functions. Nonlinear Fokker-Planck Equations addresses various phenomena such as phase transitions, multistability of systems, synchronization, anomalous diffusion, cut-off solutions, travelling-wave solutions and the emergence of power law solutions. A nonlinear Fokker-Planck perspective to quantum statistics, generalized thermodynamics, and linear nonequilibrium thermodynamics is given. Theoretical concepts are illustrated where possible by simple examples. The book also reviews several applications in the fields of condensed matter physics, the physics of porous media and liquid crystals, accelerator physics, neurophysics, social sciences, population dynamics, and computational physics.
Modelling and Control of Mini-Flying Machines
Modelling and Control of Mini-Flying Machines is an exposition of models developed for various types of mini-aircraft. Modelling and Control of Mini-Flying Machines provides valuable insights to the application of real-time nonlinear techniques in an always challenging area.
Max-Plus Linear Stochastic Systems and Perturbation Analysis
This book provides a thorough treatment of the theory of stochastic max-plus linear systems. Max-plus algebra is an algebraic approach to discrete event systems (DES), like queuing networks that are prone to synchronization. Perturbation analysis studies the sensitivity of the performance of DES with respect to changes in a particular system parameter.
H-infinity control and estimation of state-multiplicative linear systems
This monograph embodies a comprehensive survey of the relevant literature with basic problems being formulated and solved by applying various techniques including game theory, linear matrix inequalities and Lyapunov parameter-dependent functions.
Dynamical Systems, Graphs, and Algorithms
Provides a taster for using symbolic analysis, graph theory, and set-oriented methods in a quest to understand the global structure of the dynamics in a continuous- or discrete-time system. In many ways, the techniques discussed here are complementary to more traditional ways of analysing a dynamical system and as such, this book can be viewed as a valuable entry into the theory and computational methods
Control Systems Theory and Applications for Linear Repetitive Processes
After motivating examples, this monograph gives substantial new results on the analysis and control of linear repetitive processes. These include further applications of the abstract model based stability theory which, in particular, shows the critical importance to the dynamics developed of the structure of the initial conditions at the start of each new pass, the development of stability tests and performance bounds in terms of so-called 1D and 2D Lyapunov equations. It presents the development of a major bank of results on the structure and design of control laws, including the case when there is uncertainty in the process model description, together with numerically reliable computational algorithms. Finally, the application of some of these results in the area of iterative learning control is treated --- including experimental results from a chain conveyor system and a gantry robot system.
Control Design Techniques in Power Electronics Devices
The book is introduced through the very important topic of modeling switched power electronics as controlled dynamical systems. Detailed circuit layouts, schematics and actual closed-loop control responses from a representative group of the plants under discussion and generated by applying the theory are included. The control theories which feature in the book are: sliding mode control and feedback control by means of approximate linearization (linear state feedback, static and dynamic proportional-integral-differential (PID control), output feedback trough observer design, Lyapunov-based control and passivity-based control). Nonlinear control design methods represented include: exact feedback linearization, input-output linearization, differential flatness, generalized PID control and, again, passivity-based control.
Construction of Global Lyapunov Functions : Using Radial Basis Functions
In this volume, the basin of attraction of an equilibrium of an ordinary differential equation can be determined using a Lyapunov function. A new method to construct such a Lyapunov function using radial basis functions is presented.
Computational Ergodic Theory
Ergodic theory is hard to study because it is based on measure theory, which is a technically difficult subject to master for ordinary students, especially for physics majors. Many of the examples are introduced from a different perspective than in other books and theoretical ideas can be gradually absorbed while doing computer experiments. Theoretically less prepared students can appreciate the deep theorems by doing various simulations. The computer experiments are simple but they have close ties with theoretical implications. The last chapter explains the relation between entropy and data compression, which belongs to information theory and not to ergodic theory.
Adaptive Backstepping Control of Uncertain Systems : Nonsmooth Nonlinearities, Interactions or Time-Variations
This book employs the powerful and popular adaptive backstepping control technology to design controllers for dynamic uncertain systems with non-smooth nonlinearities.
