Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 5 of 5 for “"incremental stability"”.
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Automated modeling of nonlinear dynamical subsystems for stable system simulation
… produce numerical energy, which in turn causes instability of the entire physical network. Therefore, when modeling a system that is unable to generate energy, it is essential to enforce passivity in order to ensure stable system simulation. This thesis presents an algorithm that can automatically …
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Input/output analysis: graphical and algorithmic methods
… thesis develops a novel graphical method for the stability analysis of feedback systems. The Scaled Relative Graph (SRG), a recent concept from monotone operator theory, is shown to generalize the classical Nyquist diagram of an LTI transfer function, and may be plotted for arbitrary nonlinear …
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Dynamic analysis of Cyber-Physical Systems
… certificates such as contraction metric and incremental stability have been proposed to capture the convergence and divergence of solutions of ordinary differential equations. This thesis establishes that discrepancy functions generalize such proof certificates. Further, this thesis also …
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Polyhedral Computation for Differential System Analysis and Control
… provide arbitrarily tight conditions on stability, monotonicity, and some system gains for a large class of systems. However, finding a suitable polyhedron is a difficult problem. This is to a large extent inevitable, since many of the above problems are known to be computationally …
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Passivity, no-regret, and performance in online learning and games
… exploit the fact that contractive games are anti–incrementally passive to show that incremental passivity is a stronger notion that implies both $\delta$–passivity and EI–passivity. Based on this connection, we develop a passivity-based classification of learning dynamics according to the …