Solutions to hybrid inclusions via set and graphical convergence with stability theory applications

By Rafal K. Goebel, Andrew R. Teel. at - Automatisierungstechnik, 2006

405 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/0e1de7d10e66a5b356657f3aa2b88c478ffb77ca

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In Control and Systems Engineering

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Citations in the corpus

Characterizations of input-to-state stability for hybrid systems (2009, background): “The solutions of (1) are defined on hybrid time domains, as used in [6] and [7].”
Stability Analysis of Networked Control Systems Using a Switched Linear Systems Approach (2009, background): “These results apply for general nonlinear plants and controllers and a wide class of protocols (including the RR and TOD protocols) and are based on a continuous-time modelling paradigm related to hybrid inclusions [18].”
Explicit Computation of the Sampling Period in Emulation of Controllers for Nonlinear Sampled-Data Systems (2009, methodology): “The reader should refer to [5] for the motivation and more details on these definitions.”
Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results (2009, background): “Teel and colleagues [13], [30] developed theoretic results on”
Invariance Principles for Hybrid Systems With Connections to Detectability and Asymptotic Stability (2007, methodology): “Additionally, in [1 6], we have developed a general model for simulation of hybrid systems and, relying on the robustness properties shown in [11], we have established sufficient conditions for continu i y of asymptotically compact sets of simulated hybrid systems .”
A Lyapunov Proof of an Improved Maximum Allowable Transfer Interval for Networked Control Systems (2007, methodology): “We recall definitions given in [6] that we will use to develop a hybrid model of a NCS.”
Output-Based and Decentralized Dynamic Event-Triggered Control With Guaranteed $\mathcal{L}_{p}$- Gain Performance and Zeno-Freeness (2017, methodology): “In order to analyze asymptotic stability and L p -stability in the next section, we model the NCS employing event-triggered communication by means of the hybrid system framework as developed in [40] and [41], which was also employed in [1], [2], [6], [27], [28], [39], [42] in the context of NCSs.”
Quaternion-Based Hybrid Control for Robust Global Attitude Tracking (2011, neutral): “2 to a general “outer” (see [39]) perturbation that includes both measurement and modeling error.”