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A method of determining stability of 2-dimensional switched linear systems is developed. Specifically, given available system matrices and switching rules, we show that the mode sequence eventually become periodic. To determine stability, we show that it suffices to examine the behavior of the system after the mode sequence has become periodic. Finally, we show a couple of illustrative examples to...
A method of state-space partitioning that stabilizes piecewise linear systems is developed. Specifically, given available system matrices, partition of the two-dimensional state space is determined in a graphical manner. Finally, we show several illustrative examples to demonstrate efficacy of the proposed approach.
Stability conditions of networked multiple mobile agents in the face of state-dependent stochastic communications failure are derived. Using a graph-theoretic approach, we provide stability analysis for the case where each agent at certain time instance experience an unavailability of the state information of some other agents, while a zero-order hold sampled-data controller is being employed to achieve...
Stability conditions of networked multiple mobile agents in the face of stochastic communications failure are derived. Using a graph-theoretic approach, we provide stability analysis for the case where we employ zero-order hold sampled-data controller and the information of relative positions/velocities are unavailable for certain time instants at each agent. Finally, numerical examples are provided...
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