5 problems
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Suboptimality conjecture for minimum-norm control laws in hybrid games
Let a hybrid dynamical system with inputs and disturbances be controlled by the proposed state-feedback law with pointwise minimum norm, and formulate the robust stabilization prob…
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Extension of slowly time-varying Lyapunov-function results to systems with errors and hybrid components
The paper studies slowly time-varying systems for which uniform global asymptotic stability and input-to-state stability can be established using Lyapunov functions, including syst…
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Extension of strict Lyapunov function constructions to hybrid control systems with outputs
The paper considers methods for constructing closed-form strict Lyapunov functions for hybrid systems from suitable nonstrict Lyapunov functions, including systems with decay condi…
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Reduction theorems for hybrid systems with closed, unbounded sets
The paper considers reduction theorems for stability and attractivity of compact sets in hybrid dynamical systems, involving a set that is assumed in the existing result…
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Moment boundedness for hybrid linear systems with state resetting
Consider the hybrid linear system with jumps … where is a Wiener process, is a counting process, and satisfies a moment condition of order . Moment-boundedness…