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About the book for short ("pitch") Review of thoughts on time through centuries since the ancient epoch. The physical reality permitted the characterization and definition of time. Discoveries of the unknown features of time and its speed. The existence of time fields reflects the temporal structure of space. New physical principles linked the properties of time with modeling dynamical systems and with their control design. Two novel mathema...

The primary purpose of control is to force desired behavior in an unpredictable environment, under often-arbitrary disturbances and initial conditions. Thus tracking and tracking control synthesis are fundamental control issues. Surprisingly, however, tracking theory has not been well developed, and stability theory has dominated. This book presents the fundamentals of tracking theory for control systems. It introduces the full transfer functi...

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Stability Domains is an up-to-date account of stability theory with particular emphasis on stability domains. Beyond the fundamental basis of the theory of dynamical systems, it includes recent developments in the classical Lyapunov stability concept, practical stabiliy properties, and a new Lyapunov methodology for nonlinear systems. It also introduces classical Lyapunov and practical stability theory for time-invariant nonlinear systems in g...

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Time and Consistent Relativity: Physical and Mathematical Fundamentals establishes a new and original theory of time relativity, which is fully consistent. It explains why Einstein's theory of time relativity is physically meaningless and mathematically based on tacit inacceptable assumptions, and why it represents the singular case from the mathematical point of view. The consistent relativity theory established in the book represents an exit...

The book discovers a number of the inconsistences, mistakes and paradoxes of Einstein`s relativity theory. The book presents the proofs that Einstein`s claims (lifted to the level of uncontested postulates) on the relativity of time itself, on the existence of several times and the time speeds, on the time dependence on space (frames), on the invariance of the light speed are wrong and physically meaningless. The book discovers Einstein`s taci...