02746nmm a2200397 u 4500001001200000003002700012005001700039007002400056008004100080020001800121100002200139245011700161250001700278260004600295300006300341505029000404653003600694653004600730653002400776653003100800653002500831653001800856653002400874653002500898653002800923653001200951653005600963700002601019710003401045041001901079989003601098490003101134856007201165082001001237520110101247EB001852551EBX0100000000000000101685400000000000000.0cr|||||||||||||||||||||181102 ||| eng a97898110804631 aAlwan, Mohamad S.00aTheory of Hybrid Systems: Deterministic and StochastichElektronische Ressourcecby Mohamad S. Alwan, Xinzhi Liu a1st ed. 2018 aSingaporebSpringer Singaporec2018, 2018 aXVI, 241 p. 38 illus., 37 illus. in colorbonline resource0 aA 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 aMathematical Methods in Physics aStatistical Physics and Dynamical Systems aStatistical physics aControl and Systems Theory aMathematical Physics aSystem theory aControl engineering aMathematical physics aSystems Theory, Control aPhysics aApplications of Nonlinear Dynamics and Chaos Theory1 aLiu, Xinzhie[author]2 aSpringerLink (Online service)07aeng2ISO 639-2 bSpringeraSpringer eBooks 2005-0 aNonlinear Physical Science uhttps://doi.org/10.1007/978-981-10-8046-3?nosfx=yxVerlag3Volltext0 a629.8 aThis 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