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Showing 1 to 6 of 6 for “"lyapunov methods"”.
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Mathematical analysis of tuberculosis models with differential infectivity, general contact rates, migration and staged progression
… under certain conditions. Direct and indirect Lyapunov methods as well as LaSalles invariant set principle are used to investigate the stability of endemic equilibria. Numerical simulations are provided to illustrate the theoretical results.
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Data-Driven Architecture to Increase Resilience In Multi-Agent Coordinated Missions
… proof of the adaptation law is conducted using Lyapunov methods and Jordan decomposition. The DMRAC is proven to be stable in the presence of external time-varying bounded disturbances and the tracking error trajectories are shown to be bounded. The effectiveness of the proposed architecture is …
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Extending the Capabilities of Time Delayed Haptic Teleoperation Systems
… stability and environment force estimation methods that primarily rely on linearization of the Hunt-Crossley (HC) contact model. These result in a loss of transparency in the system and limiting use cases from linearization assumptions. Moreover, semi-autonomous solutions aimed at decreasing …
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Voltage Stability and Control in Autonomous Electric Power Systems with Variable Frequency
… appears. The second approach, based on the Lyapunov direct method, attempts to determine the region of attraction of an equilibrium point, defined by an operation condition. For this a Lyapunov function based on linear matrix inequalities was constructed and tested on a simplified autonomous …
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Switched and hybrid systems with inputs: small-gain theorems, control with limited information, and topological entropy
… time of non-ISpS modes is short in proportion, Lyapunov-based small-gain theorems are established via hybrid system techniques. By augmenting each subsystem with a hybrid auxiliary timer that models the constraints on switching, we enable a construction of hybrid ISpS-Lyapunov functions, and …
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Ανάλυση και έλεγχος γραμμικών και μη γραμμικών συστημάτων με περιορισμούς μέσω πολυεδρικών συναρτήσεων Lyapunov
… προέρχονται από τη θεωρία ευστάθειας Lyapunov, την αρχή σύγκρισης συστημάτων και τη θεωρία συνόλων, και οδήγησαν στην εδραίωση συνθηκών ευστάθειας και την ανάπτυξη συστηματικών μεθόδων εύρεσης λύσης στο πρόβλημα ελέγχου συγκεκριμένων κατηγοριών δυναμικών συστημάτων με περιορισμούς. Πιο …