Intro; Preface; Contents; Part I Robustness; Uncertain Systems: Time-Varying Versus Time-Invariant Uncertainties; 1 Introduction; 1.1 A General View of Robustness; 1.2 A Brief History; 2 Examples and Motivations; 2.1 Magnetic Levitation System; 2.2 Inverted Pendulum; 2.3 Flexible Systems with Parasitic Dynamics; 2.4 Robust Control of an Engine Test Bench; 2.5 Semi-active Suspension System; 2.6 Systems Biology; 3 Lyapunov Approach in Robustness; 3.1 Control Lyapunov Functions and Gradient-Based Control; 3.2 Some Special Classes of Systems; 3.3 Quadratic Stability and LMI
1 Introduction2 Preliminaries; 2.1 Distributed Robust Estimation with Hinfty Performance; 2.2 Design of the Distributed Hinfty Observer; 3 Robust Detection of Biasing Misappropriation Attacks; 3.1 Biasing Attack Inputs; 3.2 Design of Attack Detectors; 3.3 Design of the Distributed Detector for Biasing Misappropriation Attacks; 3.4 Local Attack Detector Performance; 4 Detection of Biasing False Data Injection Attacks; 5 Resilient Estimation Under Biasing Attacks; 6 Illustrating Example; 7 Concluding Remarks; References
3.4 Non-quadratic Stability4 Parametric Approach; 4.1 Value Set and Zero Exclusion Theorem; 4.2 Vertex and Edge Theorems; 4.3 Multilinear Uncertainties; 4.4 Other Classes of Uncertainties and Stability Domains; 4.5 Unstructured Uncertainties; 4.6 Parameter-Dependent Lyapunov Function; 5 Small-Gain Theorems; 5.1 Hinfty Analysis; 5.2 Hinfty Design; 5.3 Nonlinear Perturbations; 5.4 L1 Conditions; 6 Related Topics; 6.1 Switching Systems; 6.2 Periodic Systems; 7 Conclusions and Acknowledgements; References; Cooperative Resilient Estimation of Uncertain Systems Subjected to a Biasing Interference
5.2 Deterministic OF Design with Uncertainties5.3 A Comparison Between the Deterministic and Probabilistic Approaches; 6 Conclusions; References; Robust Control Against Uncertainty Quartet: A Polynomial Approach; 1 Uncertainty in Dynamical Systems; 1.1 Common Uncertainty Descriptions; 1.2 The Uncertainty Quartet; 1.3 Notation; 2 Robust Closed-Loop Stability; 3 Optimally Robust Controller Design; 3.1 Main Algorithm; 3.2 An Illustrative Example; 3.3 The Nongeneric Case; 4 Proof of Optimality; 4.1 Preliminaries; 4.2 Partial Pole Placement; 4.3 Optimally Robust Controller
Robust Static Output Feedback Design with Deterministic and Probabilistic Certificates1 Introduction; 2 S-Variables Formulation of Robust Stability; 3 Robust Deterministic Static Output Feedback Design; 3.1 Deterministic Robust Stability; 3.2 Iterative Heuristic for Deterministic Robust Control; 4 Probabilistic Static Output Feedback Design; 4.1 The Scenario Approach; 4.2 Scenario with Certificates; 4.3 Probabilistic Robust Stability; 4.4 Iterative Heuristic for Probabilistic Robust Control; 5 Numerical Examples; 5.1 OF Design Without Uncertainties
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The chapters in this volume, and the volume itself, celebrate the life and research of Roberto Tempo, a leader in the study of complex networked systems, their analysis and control under uncertainty, and robust designs. Contributors include authorities on uncertainty in systems, robustness, networked and network systems, social networks, distributed and randomized algorithms, and multi-agent systems--all fields that Roberto Tempo made vital contributions to. Additionally, at least one author of each chapter was a research collaborator of Roberto Tempo's. This volume is structured in three parts. The first covers robustness and includes topics like time-invariant uncertainties, robust static output feedback design, and the uncertainty quartet. The second part is focused on randomization and probabilistic methods, which covers topics such as compressive sensing, and stochastic optimization. Finally, the third part deals with distributed systems and algorithms, and explores matters involving mathematical sociology, fault diagnoses, and PageRank computation. Each chapter presents exposition, provides new results, and identifies fruitful future directions in research. This book will serve as a valuable reference volume to researchers interested in uncertainty, complexity, robustness, optimization, algorithms, and networked systems.