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A Class of Lyapunov Functionals for Analyzing Hybrid Dynamical Systems
Lyapunov Functionals Analyzing Hybrid Dynamical Systems
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2015/7/10
In this paper, we introduce a new class of Lyapunov functionals for analyzing hybrid dynamical systems. This class can be thought of as a generalization of the Lyapunov functional introduced by Yakubo...
Control of Asynchronous Dynamical Systems with Rate Constraints on Events
Asynchronous dynamical systems Lyapunov theory linear matrix inequality (LMI) bilinear matrix inequality (BMI)
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2015/7/10
In this paper we consider dynamical systems which are driven by events that occur asynchronously. It is assumed that the event rates are fixed, or at least they can be bounded on any time period of le...
Shannon Meets Lyapunov: Connections between Information Theory and Dynamical Systems
Shannon Meets Lyapunov Connections between Information Theory Dynamical Systems
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2015/7/6
This paper explores connections between Information Theory, Lyapunov exponents for products of random matrices, and hidden Markov models. Specifically, we will show that entropies associated with fini...