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Computation of piecewise quadratic Lyapunov functions for hybrid systems

https://doi.org/10.1109/9.664157
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Differential Equations with Discontinuous Righthand Sides
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Robust stability analysis and controller design with quadratic Lyapunov functions
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Differential equations with discontinuous right hand sides
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Simulation of Hybrid Systems in Omola/Omsim
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Computation of piecewise quadratic Lyapunov functions for hybrid systems
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Piecewise linear quadratic optimal control
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Stability of switched and hybrid systems
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A new class of universal Lyapunov functions for the control of uncertain linear systems
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Variable structure systems with sliding modes
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Computation of piecewise quadratic Lyapunov functions for hybrid systems

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Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Robust control for a class of uncertain switched fuzzy systems
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Nonsynchronized state estimation of uncertain discrete-time piecewise affine systems
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Exponential stability analysis of planar piecewise-linear systems: An integral function approach
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Modeling and stability analysis of hybrid dynamical systems based on extended differential Petri nets
inferred← citeshttps://doi.org/10.1007/s12555-013-0064-2openalex-snapshot
Stability analysis of discrete-time piecewise-linear systems: A generating function approach
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FIR-type robust H 2 and H ∞ control of discrete linear time-invariant polytopic systems via memory state-feedback control laws
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FIR-type state-feedback control law for discrete-time LTI systems with polytopic uncertainties
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Simulation-supported aviation cyber-security risk analysis: a case study
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Reference tracking of nonlinear airborne systems using stochastic MPC with disturbance observers and actuator chance constraint optimization
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Observer-Based Control Design for Switched Affine Systems and Applications to DC–DC Converters
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Adaptive asynchronous output feedback control for a class of switched nonlinear systems with a novel aperiodic dynamic sampling rule
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Discrete-Time Nonlinear Control Systems
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Global Input-To-State Stability and Stabilization of Discrete-Time Piece-Wise Affine Systems
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Dynamic Output Feedback Stabilization of Continuous-Time Switched Systems
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Box Invariance of HYBRID and Switched Systems
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Computational Issues in Intelligent Control: Discrete-Event and Hybrid Systems
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Stability analysis and control synthesis for a class of switched neutral systems
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Robust H∞ control of discrete switched system with time delay
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BIBO stabilization of piecewise switched linear systems with delays and nonlinear perturbations
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Robust fault estimation observer design for switched systems with unknown input
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Model-based and model-free “plug-and-play” building energy efficient control
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Proactive control for solar energy exploitation: A german high-inertia building case study
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Model predictive control techniques for hybrid systems
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Stability of piecewise linear systems revisited
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Contraction theory for nonlinear stability analysis and learning-based control: A tutorial overview
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Identification of piecewise affine systems via mixed-integer programming
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Switching LPV control designs using multiple parameter-dependent Lyapunov functions
inferred← citeshttps://doi.org/10.1016/j.automatica.2004.12.005openalex-snapshot
Identification of piecewise affine systems based on statistical clustering technique
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Stabilizing low complexity feedback control of constrained piecewise affine systems
inferred← citeshttps://doi.org/10.1016/j.automatica.2005.05.021openalex-snapshot
Conjugate Lyapunov functions for saturated linear systems
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Stability and L2 -gain analysis for switched delay systems: A delay-dependent method
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Stabilizability of switched linear systems does not imply the existence of convex Lyapunov functions
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Tracking and synchronisation for a class of PWA systems
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Input-to-state stability and interconnections of discontinuous dynamical systems
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A duality-based convex optimization approach to L2 -gain control of piecewise affine slab differential inclusions
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Convex invariant sets for discrete-time Lur’e systems
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Stabilizing controllers design for switched nonlinear systems in strict-feedback form
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Set invariance and performance analysis of linear systems via truncated ellipsoids
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Periodic stabilizability of switched linear control systems
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Stability analysis for discrete-time switched time-delay systems
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Non-conservative matrix inequality conditions for stability/stabilizability of linear differential inclusions
inferred← citeshttps://doi.org/10.1016/j.automatica.2010.02.021openalex-snapshot
Asynchronously switched control of switched linear systems with average dwell time
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Stability analysis for a class of digital filters with single saturation nonlinearity
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Reconfigurable control of piecewise affine systems with actuator and sensor faults: Stability and tracking
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Root mean square gain of discrete-time switched linear systems under dwell time constraints
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