From the contents: Part I Control Applications of Polynomial Positivity Control Applications of Sum of Squares Programming; Analysis of Non-polynomial Systems Using the Sum of Squares Decomposition; A Sum-of-Squares Approach to Fixed-Order H8-Synthesis; LMI Optimization for Fixed-Order H8 Controller Design; An LMI-based Technique for Robust Stability Analysis of Linear Systems with Polynomial P…
Background Material -- A Dynamical Systems Point of View -- Numerical Techniques -- The Wind-Driven Circulation -- The Thermohaline Circulation -- The Dynamics and Physics of ENSO.In this book, methodology of dynamical systems theory is applied to investigate the physics of the large-scale ocean circulation. Topics include the dynamics of western boundary currents such as the Gulf Stream in the…
Switching and Control -- From Feedback Control to Complexity Management: A Personal Perspective -- Convex Cones, Lyapunov Functions, and the Stability of Switched Linear Systems -- Survey of Explicit Approaches to Constrained Optimal Control -- Gaussian Processes -- Analysis of Some Methods for Reduced Rank Gaussian Process Regression -- Filtered Gaussian Processes for Learning with Large Data-…
Plenary Lectures -- Supersonic and Hypersonic Aerodynamics -- Experimental Facilities and Diagnostics -- Shock Reflection, Refraction and Focussing -- Chemical Kinetics and Chemical Mechanisms -- Shock/Boundary Layer and Shock/Votex Interactions -- Biological and Medical Applications -- Detonation Phenomena and Pulse Detonation Devices -- Supersonic Combustion and Scramjets -- Blast Waves and E…
Mathematical Methods -- Passive Scalar Diffusion as a Damped Wave -- Extremalizing Vector Fields as Guides Toward Understanding Properties of Turbulence -- Low-Wavenumber Forcing and Turbulent Energy Dissipation -- New Potential Symmetries for a Generalised Inhomogeneus Nonlinear Diffusion Equation -- DNS and New Scaling Laws of ZPG Turbulent Boundary Layer Flow -- Linear Instability of a Slowl…
Mathematical modeling of Stratified flows -- Internal gravity waves in geophysical fluids -- Prototypical examples of stratified shear flow -- The atmospheric boundary layer.Stratified flows, common in environmental and geophysical applications, are char acterized by the variation of fluid density in the vertical direction that can result in qualitative and quantitative modifications of the f…
Genetic Algorithms for the Variable Ordering Problem of Binary Decision Diagrams -- Gray, Binary and Real Valued Encodings: Quad Search and Locality Proofs -- A Comparison of Simulated Annealing with a Simple Evolutionary Algorithm -- NP-Completeness of Deciding Binary Genetic Encodability -- Compact Genetic Codes as a Search Strategy of Evolutionary Processes -- Asymptotic Convergence of Some …
Fluid Mechanics I -- Fluid Mechanics II -- Exercises in Fluid Mechanics -- Gasdynamics -- Exercises in Gasdynamics -- Aerodynamics Laboratory.Despite dramatic advances in numerical and experimental methods of fluid mechanics, the fundamentals are still the starting point for solving flow problems. This textbook introduces the major branches of fluid mechanics of incompressible and compressible …
Modeling the Direct Transition to Turbulence -- Dynamical Systems and the Transition to Turbulence -- Nonlinear Solutions of Simple Plane Shear Layers with and without a System Rotation -- Co-Supporting Cycle: Sustaining Mechanism of Large-Scale Structures and Near-Wall Structures in Channel Flow Turbulence -- Transition Threshold and the Self-Sustaining Process -- Turbulent-Laminar Patterns in…
Part I: Modeling of mechanical systems; Introductory examples and problems; Linear and multilinear algebra; Differential geometry; Simple mechanical control systems; Lie groups, systems on groups, and symmetries -- Part II: Analysis of mechanical control systems; Stability; Controllability; Low-order controllability and kinematic reduction ; Perturbation analysis -- Part III: A sampling of desi…