| A Small-Gain Theorem for Monotone Systems with Multi-Valued Input-State Characteristics (2005) | |||||||||
Abstract | |||||||||
| We provide a new global small-gain theorem for feedback interconnections of monotone input-output systems with multi-valued input-state characteristics. This extends a recent small-gain theorem of Angeli and Sontag for monotone systems with singleton-valued characteristics. We prove our theorem using Thieme's convergence theory for asymptotically autonomous systems. An illustrative example is also provided.. Comment: 17 pages, 2 figures, to appear in IEEE Transactions on Automatic Control | |||||||||
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