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Following the recent developments in the field of absolute stability, Professor Xiaoxin Liao, in conjunction with Professor Pei Yu, has created a second edition of his seminal work on the subject. Liao begins with an introduction to the Lurie problem and the Lurie control system, before moving on to the simple algebraic sufficient conditions for the absolute stability of autonomous and non-autonomous ODE systems, as well as several special classes of Lurie-type systems. The focus of the book then shifts toward the new results and research that have appeared in the decade since the first edition was published. This includes nonlinear control systems with multiple controls, interval control systems, time-delay and neutral Lurie control systems, systems described by functional differential equations, the absolute stability for neural networks, as well as applications to chaos control and chaos synchronization. This book is aimed at undergraduates and lecturers in the areas of applied mathematics, nonlinear control systems and chaos control and synchronisation, but may also be useful as a reference work for researchers and engineers. The book is self-contained, though a basic knowledge of calculus, linear system and matrix theory, and ordinary differential equations is required to gain a complete understanding of the workings and methodologies discussed within.
Nonlinear control theory. --- Stability. --- Dynamics --- Mechanics --- Motion --- Vibration --- Benjamin-Feir instability --- Equilibrium --- Control theory --- Nonlinear theories --- Differential Equations. --- System theory. --- Vibration. --- Mathematics. --- Ordinary Differential Equations. --- Systems Theory, Control. --- Vibration, Dynamical Systems, Control. --- Applications of Mathematics. --- Cycles --- Sound --- 517.91 Differential equations --- Differential equations --- Math --- Science --- Systems, Theory of --- Systems science --- Philosophy --- Systems theory. --- Differential equations. --- Dynamical systems. --- Dynamics. --- Applied mathematics. --- Engineering mathematics. --- Engineering --- Engineering analysis --- Mathematical analysis --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Physics --- Statics
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This book shows the various porous structures and supramolecular architectures that result from the cucurbituril-based coordination, hydrogen bonding, ion-dipole interactions, π∙∙∙π stacking and C–H∙∙∙π processes. It includes two chapters presenting essential examples of these cucurbituril-based structures, depending on the types of non covalent interactions and inducer species. It also includes one chapter dealing with the utilization of cucurbiturils as a molecular container in supramolecular chemistry and demonstrating a wide range of potential applications of supramolecular assemblies with cucurbiturils in catalysis, separation, absorption and polymer materials. The book offers an interesting and valuable guide for readers working in the areas of supramolecular chemistry and materials.
Chemistry. --- Inorganic Chemistry. --- Polymer Sciences. --- Physical Chemistry. --- Organic Chemistry. --- Chemistry, inorganic. --- Chemistry, Organic. --- Chemistry, Physical organic. --- Polymers. --- Chimie --- Chimie organique --- Polymères --- Chemistry --- Physical Sciences & Mathematics --- Inorganic Chemistry --- Supramolecular chemistry. --- Supramolecular chemistry --- Data processing. --- Inorganic chemistry. --- Organic chemistry. --- Physical chemistry. --- Chemistry, Physical and theoretical --- Macromolecules --- Organic chemistry --- Chemistry, Physical organic --- Chemistry, Organic --- Polymere --- Polymeride --- Polymers and polymerization --- Inorganic chemistry --- Inorganic compounds --- Polymers . --- Chemistry, Theoretical --- Physical chemistry --- Theoretical chemistry
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This book shows the various porous structures and supramolecular architectures that result from the cucurbituril-based coordination, hydrogen bonding, ion-dipole interactions, π∙∙∙π stacking and C–H∙∙∙π processes. It includes two chapters presenting essential examples of these cucurbituril-based structures, depending on the types of non covalent interactions and inducer species. It also includes one chapter dealing with the utilization of cucurbiturils as a molecular container in supramolecular chemistry and demonstrating a wide range of potential applications of supramolecular assemblies with cucurbiturils in catalysis, separation, absorption and polymer materials. The book offers an interesting and valuable guide for readers working in the areas of supramolecular chemistry and materials.
Physicochemistry --- Macromolecules --- Inorganic chemistry --- Organic chemistry --- organische chemie --- anorganische chemie --- polymeren --- fysicochemie
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