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HYBRID
1995
Springer
15 years 1 months ago
Interconnected Automata and Linear Systems: A Theoretical Framework in Discrete-Time
This paper summarizes the definitions and several of the main results of an approach to hybrid systems, which combines finite automata and linear systems, developed by the author...
Eduardo D. Sontag
83
Voted
MCSS
2002
Springer
14 years 9 months ago
Observability and Forward-Backward Observability of Discrete-Time Nonlinear Systems
In this paper, we study the observability properties of nonlinear discrete time systems. Two types of contributions are given. First, we present observability criteria in terms of...
Francesca Albertini, Domenico D'Alessandro
INFOCOM
2003
IEEE
15 years 2 months ago
Dynamic Power Allocation and Routing for Time Varying Wireless Networks
—We consider dynamic routing and power allocation for a wireless network with time-varying channels. The network consists of power constrained nodes that transmit over wireless l...
Michael J. Neely, Eytan Modiano, Charles E. Rohrs
HYBRID
2005
Springer
15 years 3 months ago
The Discrete Time Behavior of Lazy Linear Hybrid Automata
We study the class of lazy linear hybrid automata with finite precision. The key features of this class are: – The observation of the continuous state and the rate changes assoc...
Manindra Agrawal, P. S. Thiagarajan
CDC
2008
IEEE
236views Control Systems» more  CDC 2008»
15 years 4 months ago
Non-monotonic Lyapunov functions for stability of discrete time nonlinear and switched systems
Abstract— We relax the monotonicity requirement of Lyapunov’s theorem to enlarge the class of functions that can provide certificates of stability. To this end, we propose two...
Amir Ali Ahmadi, Pablo A. Parrilo