Introdu | p. 1 |
Switched Dynamical Systems | p. 1 |
Stability and Stabilizability of Switched Systems | p. 4 |
Guaranteed Stability Under Arbitrary Switching | p. 5 |
Dwell-Time Stability | p. 6 |
Autonomous Stability Under State-Driven Switching | p. 8 |
Stochastic Stabilities Under Random Switching | p. 9 |
Stabilizing Switching Design | p. 11 |
Organization of the Book | p. 12 |
Notes and References | p. 14 |
Arbitrary Switching | p. 17 |
Prelimina | p. 17 |
Switched Nonlinear Systems | p. 19 |
Common Lyapunov Functions | p. 20 |
Converse Lyapunov Theorem | p. 23 |
Switched Linear Systems | p. 25 |
Relaxed System Frameworks | p. 26 |
Universal Lyapunov Functions | p. 30 |
Algebraic Criteria | p. 35 |
Extended Coordinate Transformation and Set Invariance | p. 41 |
Triangularizable Systems | p. 48 |
Computational Issues | p. 52 |
Approximating the Spectral Radius | p. 52 |
An Invariant Set Approach | p. 62 |
Notes and References | p. 65 |
Constrained Switching | p. 71 |
Introduction | p. 71 |
Stochastic Stability | p. 71 |
Introduction | p. 71 |
Definitions and Preliminaries | p. 72 |
Stability Criteria | p. 73 |
Piecewise Linear Systems | p. 86 |
Introduction | p. 86 |
Piecewise Quadratic Lyapunov Function Approach | p. 88 |
Surface Lyapunov Approach | p. 92 |
Transition Analysis: A Graphic Approach | p. 100 |
Conewise Linear Systems | p. 105 |
Dwell-time Switching | p. 112 |
Prelimi | p. 113 |
Homogeneous Polynomial Lyapunov Approach | p. 119 |
Combined Switching | p. 122 |
Notes and References | p. 124 |
Designed Switching | p. 127 |
Preliminar | p. 127 |
Stabilization via Time-Driven Switching | p. 128 |
Stabilization via State-Feedback Switching: The Lyapunov Approach | p. 133 |
Converse Lyapunov Theorems | p. 134 |
Nonconvexity of Lyapunov Functions | p. 140 |
Min Quadratic Lyapunov Functions: An Optimization Approach | p. 144 |
Well-Definedness of State-Feedback Stabilizing Law | p. 155 |
Stabilization via Mixed-Driven Switching: Aggregation and Calculation | p. 156 |
Pathwise State-Feedback Switching | p. 157 |
Computational Algorithms | p. 164 |
Stabilization via Mixed-Driven Switching: Robustness Analysis | p. 170 |
Distance Between Switching Signals | p. 171 |
Robustness Analysis | p. 177 |
Examples and Simulations | p. 183 |
Notes and References | p. 193 |
Connections and Implications | p. 197 |
Absolute Stability for Planar LUr"e Systems | p. 197 |
Guaranteed Stability in the Plane | p. 198 |
Application to Absolute Stability of Planar Lur'e Systems | p. 203 |
Adaptive Control via Supervisory Switching | p. 205 |
Preliminaries | p. 206 |
Estimator-based Supervisory Switching | p. 208 |
An Example | p. 212 |
Stability Analysis of Fuzzy Systems via Piecewise Switching | p. 215 |
Piecewise S\Yitched Linear Systems | p. 216 |
Stability Analysis of T-S Fuzzy Systems | p. 218 |
Consensus of Multiagent Systems with Proximity Graphs | p. 221 |
Introduction | p. 221 |
A Consensus Criterion | p. 223 |
A Verifiable Criterion | p. 225 |
Stabilizing Design of Controllable Switched Linear Systems | p. 231 |
Problem Formulation | p. 231 |
Multilinear Feedback Design | p. 231 |
Notes and References | p. 236 |
References | p. 239 |
Index | p. 251 |
Concepts and Theory | |
Toward a Theory of Landscape Fire | p. 3 |
Scaling Laws and Complexity in Fire Regimes | p. 27 |
Native Fire Regimes and Landscape Resilience | p. 51 |
Climate Context | |
Climate and Spatial Patterns of Wildfire in North America | p. 89 |
Climatic Water Balance and Regional Fire Years in the Pacific Northwest, USA: Linking Regional Climate and Fire at Landscape Scales | p. 117 |
Landscape Fire Dynamics and Interactions | |
Pyrogeography and Biogeochemical Resilience | p. 143 |
Reconstructing Landscape Pattern of Historical Fires and Fire Regimes | p. 165 |
Fire and Invasive Plants on California Landscapes | p. 193 |
Modeling Landscape Fire and Wildlife Habitat | p. 223 |
Landscape Fire Management, Policy, and Research in an Era of Global Change | |
Managing and Adapting to Changing Fire Regimes in a Warmer Climate | p. 249 |
Wilderness Fire Management in a Changing Environmenl | p. 269 |
Synthesis: Landscape Ecology and Changing Fire Regimes | |
Index | p. 305 |
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