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Wireless Ad Hoc and Sensor Networks

Wireless Ad Hoc and Sensor Networks

Wireless Ad Hoc and Sensor Networks

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1.4.7 Network Simulator.....................................................................321.4.8 Power Control Implementation in MAC 802.11Using NS ......................................................................................331.5 <strong>Wireless</strong> <strong>Sensor</strong> <strong>Networks</strong> .....................................................................351.5.1 Closest Peers................................................................................411.5.2 IEEE 1451 <strong>and</strong> Smart <strong>Sensor</strong>s...................................................421.5.3 <strong>Sensor</strong>s for Smart Environments .............................................421.5.4 Commercially Available <strong>Wireless</strong> <strong>Sensor</strong> Systems................431.5.5 Self-Organization <strong>and</strong> Localization .........................................451.6 Summary ..................................................................................................46References..........................................................................................................462 Background ............................................................................... 492.1 Dynamical Systems.................................................................................492.1.1 Discrete-Time Systems ...............................................................502.1.2 Brunovsky Canonical Form ......................................................502.1.3 Linear Systems ............................................................................522.2 Mathematical Background.....................................................................532.2.1 Vector <strong>and</strong> Matrix Norms .........................................................532.2.1.1 Singular Value Decomposition...................................552.2.1.2 Quadratic Forms <strong>and</strong> Definiteness............................552.2.2 Continuity <strong>and</strong> Function Norms..............................................562.3 Properties of Dynamical Systems.........................................................572.3.1 Asymptotic Stability...................................................................582.3.2 Lyapunov Stability .....................................................................592.3.3 Boundedness................................................................................592.3.4 A Note on Autonomous Systems <strong>and</strong>Linear Systems ............................................................................602.4 Nonlinear Stability Analysis <strong>and</strong> Controls Design ...........................602.4.1 Lyapunov Analysis for Autonomous Systems ......................612.4.2 Controller Design Using Lyapunov Techniques ...................652.4.3 Lyapunov Analysis <strong>and</strong> Controls Designfor Linear Systems......................................................................672.4.4 Stability Analysis ........................................................................672.4.5 Lyapunov Design of LTI Feedback Controllers.....................682.4.6 Lyapunov Analysis for Nonautonomous Systems ...............692.4.7 Extensions of Lyapunov Techniques<strong>and</strong> Bounded Stability ...............................................................722.4.7.1 UUB Analysis <strong>and</strong> Controls Design..........................72References..........................................................................................................75Problems ............................................................................................................76

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