Stability, Oscillations and Optimization of Systems – Cambridge Scientific Publishers Ltd

Volume Eleven: Advances in Stability and Control Theory for Uncertain Dynamical Systems

Janielw — Mon, 11 Oct 2021 21:24:21 +0000

The volume comprises four parts:

Stability and Control in Uncertain Systems
Stability and Stabilization in Discrete-Time Systems
Synchronization in Dynamical Systems
Engineering Applications

In recent decades, the problems of stability and control of systems with uncertain parameters values have received much attention in many areas including biology, chemistry, optics, electronics, mechanics, economics.

This volume is intended to provide a useful source of reference for graduates, postgraduates, researchers and professionals working in these areas

Volume Ten: Dynamical Systems with Random Structure and their Applications

Janielw — Mon, 11 Oct 2021 21:16:03 +0000

The development and stability of dynamical systems with random structure depend on an understanding of the system, on the rich experience and the interaction of system with the environment. This book describes the development of a new method for studying the stability of dynamical systems with a random structure of various types, based on the construction and study of so-called moment equations. It also describes the use of this method in investigating the stability and properties of solutions of dynamical systems with a random structure that serve as a mathematical model for various applications, especially in banking and finance

Volume Nine: Continuum Mechanics: Semi-Analytical Finite Element Method

Janielw — Mon, 11 Oct 2021 21:07:37 +0000

Contents Include:

Initial physical linear and nonlinear relations for evolutionary deformation process of three dimensional bodies
Semi-analytical finite element method solving equation for stress-strained state determination of inhomogenous three dimensional bodies
Definition of thermoelastic-plastic stress-strained state based on semi-analytical finite element method
Investigation of evolutionary deformation and damage accumulation process of three dimensional bodies under creep
Life-time determination of spatial bodies considering continual fracture zone presence
Linear stationary oscillations problems of three dimensional inhomogenous bodies
Linear and nonlinear deformation process of three dimensional bodies under intense impulsive loads

Volume Eight: Stability Analysis of Nonlinear Systems under Structural Pertubations

Janielw — Mon, 11 Oct 2021 20:57:49 +0000

The book describes a new application of Liapunov matrix-valued functions method to the stability of evolution problems governed by nonlinear continuous systems, discrete time systems, impulsive systems and singularly perturbed systems. The authors take a challenging and original approach based on the concept of structural perturbations combined with direct Liapunov’s method. The book is intended for specialists in dynamical systems, applied differential equations, and the stability theory. it may also be useful for graduate students and researchers in mathematics, control theory, and mechanical engineering.

Volume Seven: Nonlinear Mathematical Models of Phase-Locked Loops

Janielw — Mon, 11 Oct 2021 20:48:44 +0000

Although phase-locked loop (PLL) is inherently a nonlinear system, in modern literature and publications of the analysis of PLL-based circuits, the main direction is simplified linear models, linear analysis and simulation. At the same time it is known that simplified analysis lead to wrong conclusion on stability and the standard numerical simulation may not allow us to detect undesired hidden oscillations in nonlinear control systems. In this volume the authors construct adequate nonlinear mathematical models of various analogue PLL-based systems and apply effective numerical and analytical method for their study. Special modifications of classical absolute stability criteria for pendulum-like systems are developed and their applications for non-linear analysis and design of PLL-based system are demonstrated.

Volume Six: Lyapunov Exponents and Stability Theory

Janielw — Mon, 11 Oct 2021 20:35:23 +0000

It details the results obtained by the author, connected with development of the following parts:

Theory of Perron lower exponents, the freezing method, theory of exponential and sigma-exponents and their connection with characteristic, central, and general exponents, dependence of characteristic exponents of linear systems on exponentially decreasing perturbation and the theory of their stability with respect to small perturbations.

The author considered the Lyapunov problem on the exponential stability of an ordinary differential system by linear approximation. The method of rotations by V. M. Millionschikov is systematically used. This volume is intended for postgraduates and students specialized in the field of differential equations

Volume Four: Advances in Chaotic Dynamics and Applications

Janielw — Mon, 11 Oct 2021 20:25:39 +0000

Contents Include:

On three definitions of chaos – B. Aulbach and B. Kieninger
Chaotic Control Systems – T. L. Vincent
The relationship between pullback, forward and global attractors on non-autonomous dynamical systems – D. N. Cheban, P. E. Kloedon and B. Schmalfuss
Control of chaos in a convective loop system – A. K M. Murshed, B. Huang and K. Nandahumar
Synchronization of time-delay Chua’s oscillator with application to secure communication – A. Cruz-Hernandez
Topological Sequence entropy and chaos of star maps – J. S. Canovas

Volume Five: Stabilization of Linear Systems

Janielw — Mon, 11 Oct 2021 20:16:26 +0000

New methods of low-frequency and high-frequency stabilization are introduced and many significant results are included. Poincare mapping is constructed, realizing the embedding of unstable manifolds. Contents include: Transfer function and frequency response; Controllability and observability; Stationary stabilization of linear systems; Stabilization of discrete systems. This volume is intended for researchers, engineers and postgraduates interested in the dynamic systems, applied differential equations and control theory

Volume Three: Dynamics of Compressible Viscous Fluid

Janielw — Mon, 11 Oct 2021 20:08:53 +0000

The volume also develops the methods of analysis based on the proposed general solutions of linearized Navier-Stokes equations in vector or scalar forms and considers the following problems:

forced harmonic vibrations and nonstationary motions of rigid bodies in moving and at rest compressible viscous fluid
dynamics of rigid bodies in at rest compressible fluid under the action of radiation forces from the interaction with acoustic harmonic waves
wave propagation in elastic bodies with initial (residual) stresses and in thin-walled elastic cylindrical shell interacting with a compressible viscous fluid

The volume provides a useful reference text for postgraduates and researchers in applied engineering particularly wave dynamics, continuum mechanics and fluid mechanics.

Volume Two: Matrix Equations, Spectral Problems and Stability of Dynamic Systems

Janielw — Mon, 11 Oct 2021 19:59:38 +0000

The theory of linear equations and operators in a matrix space is developed and the known theorems on the inertia of Hermitian solutions of matrix equations are generalizes. The volume is intended for researchers, engineers and postgraduates interested in the theory of stability and stabilization of dynamic systems, matrix analysis and applications.