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Computation of polytopic invariants for polynomial dynamical systems using linear programming
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Nonlinear Systems: Analysis, Stability, and Control
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Computer Aided Verification
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Symbolic Model Checking of Hybrid Systems Using Template Polyhedra
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Tools and Algorithms for the Construction and Analysis of Systems
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A Decision Method for Elementary Algebra and Geometry
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Unconstrained and constrained global optimization of polynomial functions in one variable
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A global optimization algorithm for polynomial programming problems using a Reformulation-Linearization Technique
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Nonquadratic Lyapunov functions for robust control
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Squaring the circle: An algorithm for generating polyhedral invariant sets from ellipsoidal ones
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Box invariance in biologically-inspired dynamical systems
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Global qualitative description of a class of nonlinear dynamical systems
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Set invariance in control
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On absolute stability analysis by polyhedral Lyapunov functions
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Impulses and Physiological States in Theoretical Models of Nerve Membrane
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New reformulation linearization/convexification relaxations for univariate and multivariate polynomial programming problems
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Controlling a Class of Nonlinear Systems on Rectangles
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A Framework for Worst-Case and Stochastic Safety Verification Using Barrier Certificates
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Global Optimization with Polynomials and the Problem of Moments
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Automatic invariant generation for hybrid systems using ideal fixed points
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Formal verification of hybrid systems
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A Decision Method for Elementary Algebra and Geometry
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Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Synthesizing Switching Controllers for Hybrid Systems by Generating Invariants
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Characterization, verification and computation of robust controlled invariants for monotone dynamical systems
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Invariance of a class of semi-algebraic sets for polynomial systems with dynamic compensators
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Observer-based adaptive control for HIV infection therapy using the Baskakov operator
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Rendering a Prescribed Subset Invariant for Polynomial Systems by Dynamic State-Feedback Compensator**This work was supported by JSPS KAKENHI Grant Numbers JP16K18120, JP15H02257.
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Computing invariant sets of discrete-time nonlinear systems via state immersion
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On Robust Controlled Invariants for Continuous-time Monotone Systems
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Compositional code-level safety verification for automated driving controllers
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Change-of-bases abstractions for non-linear hybrid systems
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Survey on automated symbolic verification and its application for synthesising cyber‐physical systems
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Iterative computation of polyhedral invariants sets for polynomial dynamical systems
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Characterizations and Computation of Controlled Invariants for Monotone Dynamical Systems
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Scenario-Based Set Invariance Verification for Black-Box Nonlinear Systems
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Synthesis of Reactive Switching Protocols From Temporal Logic Specifications
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On Integrability of Observable Space for Discrete-Time Polynomial Control Systems
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Underapproximating Backward Reachable Sets by Semialgebraic Sets
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Scalable Computation of Robust Control Invariant Sets of Nonlinear Systems
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Computing Robust Forward Invariant Sets of Multidimensional Nonlinear Systems via Geometric Deformation of Polytopes
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Discovering Multiple Lyapunov Functions for Switched Hybrid Systems
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Combining SOS with Branch and Bound to Isolate Global Solutions of Polynomial Optimization Problems
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Computing Robust Control Invariant Sets of Nonlinear Systems Using Polynomial Controller Synthesis
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Control of polynomial dynamical systems on rectangles
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Computation of the maximal invariant set of linear systems with quasi-smooth nonlinear constraints
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Polynomial optimization with applications to stability analysis and control - Alternatives to sum of squares
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Controller Synthesis for Robust Invariance of Polynomial Dynamical Systems using Linear Programming
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Bernstein Polynomial Relaxations for Polynomial Optimization Problems
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Combining SOS and Moment Relaxations with Branch and Bound to Extract Solutions to Global Polynomial Optimization Problems
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Parallel Optimization of Polynomials for Large-scale Problems in Stability and Control
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Lie Derivative Inclusion for a Class of Polynomial State Feedback Controls
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Sufficient Condition for Global Observability Decomposition of Polynomial Systems
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