Document Type
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BL
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Record Number
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889219
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Main Entry
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Alwan, Mohamad S.
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Title & Author
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Theory of hybrid systems : : deterministic and stochastic /\ Mohamad S. Alwan, Xinzhi Liu.
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Publication Statement
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Singapore :: Springer,, 2018.
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Series Statement
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Nonlinear physical science,
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Page. NO
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1 online resource (xvi, 241 pages) :: illustrations (some color).
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ISBN
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9789811080463
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: 9789811080470
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: 9811080461
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: 981108047X
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9789811080456
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9811080453
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Bibliographies/Indexes
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Includes bibliographical references.
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Contents
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Introduction -- Analysis of Hybrid Systems -- Singularly Perturbed Systems (SPSs) -- Systems of Dierential Equations with Piecewise Continuous Arguments (EPCA): A Hybrid System Approach -- Reliable Control and State Estimation for Uncertain Impulsive Large-Scale Systems -- Stochastic Hybrid (Impulsive) Systems -- Stochastic Systems with EPCA -- Input-to-State Stability (ISS) for Stochastic Hybrid Systems -- Stability in Terms of Two Measures.
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Abstract
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This book is the first to present the application of the hybrid system theory to systems with EPCA (equations with piecewise continuous arguments). The hybrid system paradigm is a valuable modeling tool for describing a wide range of real-world applications. Moreover, although new technology has produced, and continues to produce highly hierarchical sophisticated machinery that cannot be analyzed as a whole system, hybrid system representation can be used to reduce the structural complexity of these systems. That is to say, hybrid systems have become a modeling priority, which in turn has led to the creation of a promising research field with several application areas. As such, the book explores recent developments in the area of deterministic and stochastic hybrid systems using the Lyapunov and Razumikhin-Lyapunov methods to investigate the systems' properties. It also describes properties such as stability, stabilization, reliable control, H-infinity optimal control, input-to-state stability (ISS)/stabilization, state estimation, and large-scale singularly perturbed systems.
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Subject
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Hybrid systems.
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Subject
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Automatic control engineering.
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Subject
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Cybernetics systems theory.
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Subject
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Hybrid systems.
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Subject
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Mathematical physics.
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Subject
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Nonlinear science.
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Subject
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Science-- Chaotic Behavior in Systems.
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Subject
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Science-- Mathematical Physics.
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Subject
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Science-- System Theory.
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Subject
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Statistical physics.
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Subject
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Technology Engineering-- Automation.
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Subject
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Control.
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Subject
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Applications of Nonlinear Dynamics and Chaos Theory.
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Subject
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Mathematical Methods in Physics.
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Subject
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Mathematical Physics.
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Subject
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Statistical Physics and Dynamical Systems.
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Subject
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Systems Theory, Control.
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Dewey Classification
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003
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LC Classification
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QA76.38
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Added Entry
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Liu, Xinzhi,1956-
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