The paper establishes equivalent characterizations of integral input-to-state stability for hybrid systems with memory via dissipativity, detectability, and storage functionals under regularity and convexity assumptions.
Smooth Lyapunov Func- tions for Hybrid Systems Part II: (Pre)Asymptotically Sta- ble Compact Sets
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A Characterization of Integral Input-to-state Stability for Hybrid Systems with Memory
The paper establishes equivalent characterizations of integral input-to-state stability for hybrid systems with memory via dissipativity, detectability, and storage functionals under regularity and convexity assumptions.