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    Hybrid Dynamical Systems

    Hybrid Dynamical Systems

    - Modeling, Stability, and Robustness

    Af
    Bog E-bog
    • Format
    • Bog, hardback
    • Engelsk

    Beskrivelse

    Hybrid dynamical systems exhibit continuous and instantaneous changes, having features of continuous-time and discrete-time dynamical systems. Filled with a wealth of examples to illustrate concepts, this book presents a complete theory of robust asymptotic stability for hybrid dynamical systems that is applicable to the design of hybrid control algorithms--algorithms that feature logic, timers, or combinations of digital and analog components. With the tools of modern mathematical analysis, Hybrid Dynamical Systems unifies and generalizes earlier developments in continuous-time and discrete-time nonlinear systems. It presents hybrid system versions of the necessary and sufficient Lyapunov conditions for asymptotic stability, invariance principles, and approximation techniques, and examines the robustness of asymptotic stability, motivated by the goal of designing robust hybrid control algorithms. This self-contained and classroom-tested book requires standard background in mathematical analysis and differential equations or nonlinear systems. It will interest graduate students in engineering as well as students and researchers in control, computer science, and mathematics.

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  • Vægt425 g
    • coffee cup img
    10 cm
    book img
    15,2 cm
    23,5 cm

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    Notation Control theory Hysteresis Mathematical optimization Measurement Lyapunov stability Quantity Continuous function Step function Convex Set Smoothing Hausdorff Distance Nonlinear system Monotonic Function Initial Condition Uniqueness Stability Theory Timer Robustness Theorem Parameter Approximation Compact space Hybrid automaton Algorithm Smoothness Differential Inclusion Requirement Linearization Dynamical system Differential equation Time-domain Lipschitz continuity Thyristor Parametrization Lyapunov Function Uniform convergence Boundedness Absolute continuity Empty set Differentiable function Discrete time and continuous time Existential quantification Continuous function (set theory) Corollary Differentiation under the integral sign Infimum and supremum Hybrid system Local Boundedness Equilibrium Point Limit of a sequence Limit superior and limit inferior Flow Map Norm (mathematics) Regularization (mathematics) Quasinorm Limit point Linear map Symmetric Matrix Initial Point Integrator Variable (mathematics) Tangent Cone Semi-continuity State Variable Subsequence Subset Special case Uniform boundedness Without loss of generality
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