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|a 9780691189581
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|a Garoche, Pierre-Loïc,
|e author.
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|a Formal Verification of Control System Software /
|c Pierre-Lö ıc Garoche.
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|a Princeton, New Jersey :
|b Princeton University Press,
|c [2019]
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|a 1 online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
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|a Princeton series in applied mathematics
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|a Includes bibliographical references and index.
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|a Cover; Contents; I. Need and Tools to Verify Critical Cyber-Physical Systems; 1. Critical Embedded Software: Control Software Development and V 2. Formal Methods: Different Approaches for Verification; 2.1 Semantics and Properties; 2.2 A Formal Verification Methods Overview; 2.3 Deductive Methods; 2.4 SMT-based Model-checking; 2.5 Abstract Interpretation (of Collecting Semantics); 2.6 Need for Inductive Invariants; 3. Control Systems; 3.1 Controllers' Development Process; 3.2 A Simple Linear System: Spring-mass Damper
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|a II. Invariant Synthesis: Convex-optimization Based Abstract Interpretation4. Definitions-Background; 4.1 Discrete Dynamical Systems; 4.2 Elements of (Applied) Convex Optimization; 5. Invariants Synthesis via Convex Optimization: Postfixpoint Computation as Semialgebraic Constraints; 5.1 Invariants, Lyapunov Functions, and Convex Optimization; 5.2 Quadratic Invariants; 5.3 Piecewise Quadratic Invariants; 5.4 k-inductive Quadratic Invariants; 5.5 Polynomial Invariants; 5.6 Image Measure Method; 5.7 Related Works; 6. Template-based Analyses and Min-policy Iteration
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|a 6.1 Template-based Abstract Domains6.2 Template Abstraction Fixpoint as an Optimization Problem; 6.3 SOS-relaxed Semantics; 6.4 Example; 6.5 Related Works; III. System-level Analysis at Model and Code Level; 7. System-level Properties as Numerical Invariants; 7.1 Open-loop and Closed-loop Stability; 7.2 Robustness with Vector Margin; 7.3 Related Work; 8. Validation of System-level Properties at Code Level; 8.1 Axiomatic Semantics of Control Properties through Synchronous Observers and Hoare Triples; 8.2 Generating Annotations: A Strongest Postcondition Propagation Algorithm
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|a 8.3 Discharging Proof Objectives using PVSIV. Numerical Issues; 9. Floating-point Semantics of Analyzed Programs; 9.1 Floating-point Semantics; 9.2 Revisiting Inductiveness Constraints; 9.3 Bound Floating-point Errors: Taylor-based Abstractions aka Zonotopic Abstract Domains; 9.4 Related Works; 10. Convex Optimization and Numerical Issues; 10.1 Convex Optimization Algorithms; 10.2 Guaranteed Feasible Solutions with Floats; Bibliography; Index; Acknowledgments
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|a Electronic reproduction.
|b Ann Arbor, MI
|n Available via World Wide Web.
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|a Online resource; title from PDF title page (EBSCO, viewed February 13, 2019).
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|a Automatic control.
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|a Computer software.
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|a ProQuest (Firm)
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|a Princeton series in applied mathematics.
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|u https://ebookcentral.proquest.com/lib/santaclara/detail.action?docID=5695063
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