Andrey Polyakov received his Ph.D. in Systems Analysis and Control from the Voronezh State University, Russia in 2005. Until 2010, he was an associate professor at the same university. In 2007 and 2008, he was also a research associate with the CINVESTAV-IPN center in Mexico City. From 2010 up to 2013, he was a leader researcher at the Institute of the Control Sciences, Russian Academy of Sciences. In 2013, he joined Inria, Lille, France, as a researcher. He has co-authored more than 100 papers in peer-reviewed journals and three books Attractive Ellipsoids in Robust Control, Road Map for Sliding Mode Control Design and Generalized Homogeneity in Systems and Control 1st Ed. His research interests include various aspects of nonlinear control and estimation theory such as finite-time/fixed-time control, generalized homogeneity, and Lyapunov methods for both finite-dimensional and infinite-dimensional systems.

• Chapter 1. Introduction.- Chapter 2. Finite-Dimensional Dynamical Systems.- Chapter 3. Stability and Robustness.- Chapter 4. Method of Lyapunov Function.- Chapter 5. Linear Dilation in Euclidean Space.- Chapter 6. Finite-dimensional Homogeneous Mappings.- Chapter 7. Analysis of Homogeneous Systems.- Chapter 8. Discretization of Homogeneous Systems.- Chapter 9. Homogeneous Stabilization of Linear Plant.- Chapter 10. Digitization of Homogeneous Control.- Chapter 11. Upgrading Linear Controller to Homogeneous Feedback.- Chapter 12. Safety-Critical Homogeneous Systems.- Chapter 13. Homogeneous Optimal Control.- Chapter 14. Homogeneous State Estimation.- Chapter 15. Homogeneous Control of Nonlinear Plants.- Chapter 16. Homogeneous Artificial Neural Network.- Chapter 17. Homogeneity in Multi-Agent Systems.- Appendix.

Andrey Polyakov received his Ph.D. in Systems Analysis and Control from the Voronezh State University, Russia in 2005. Until 2010, he was an associate professor at the same university. In 2007 and 2008, he was also a research associate with the CINVESTAV-IPN center in Mexico City. From 2010 up to 2013, he was a leader researcher at the Institute of the Control Sciences, Russian Academy of Sciences. In 2013, he joined Inria, Lille, France, as a researcher. He has co-authored more than 100 papers in peer-reviewed journals and three books Attractive Ellipsoids in Robust Control, Road Map for Sliding Mode Control Design and Generalized Homogeneity in Systems and Control 1st Ed. His research interests include various aspects of nonlinear control and estimation theory such as finite-time/fixed-time control, generalized homogeneity, and Lyapunov methods for both finite-dimensional and infinite-dimensional systems.

• Chapter 1. Introduction.- Chapter 2. Finite-Dimensional Dynamical Systems.- Chapter 3. Stability and Robustness.- Chapter 4. Method of Lyapunov Function.- Chapter 5. Linear Dilation in Euclidean Space.- Chapter 6. Finite-dimensional Homogeneous Mappings.- Chapter 7. Analysis of Homogeneous Systems.- Chapter 8. Discretization of Homogeneous Systems.- Chapter 9. Homogeneous Stabilization of Linear Plant.- Chapter 10. Digitization of Homogeneous Control.- Chapter 11. Upgrading Linear Controller to Homogeneous Feedback.- Chapter 12. Safety-Critical Homogeneous Systems.- Chapter 13. Homogeneous Optimal Control.- Chapter 14. Homogeneous State Estimation.- Chapter 15. Homogeneous Control of Nonlinear Plants.- Chapter 16. Homogeneous Artificial Neural Network.- Chapter 17. Homogeneity in Multi-Agent Systems.- Appendix.

Andrey Polyakov received his Ph.D. in Systems Analysis and Control from the Voronezh State University, Russia in 2005. Until 2010, he was an associate professor at the same university. In 2007 and 2008, he was also a research associate with the CINVESTAV-IPN center in Mexico City. From 2010 up to 2013, he was a leader researcher at the Institute of the Control Sciences, Russian Academy of Sciences. In 2013, he joined Inria, Lille, France, as a researcher. He has co-authored more than 100 papers in peer-reviewed journals and three books Attractive Ellipsoids in Robust Control, Road Map for Sliding Mode Control Design and Generalized Homogeneity in Systems and Control 1st Ed. His research interests include various aspects of nonlinear control and estimation theory such as finite-time/fixed-time control, generalized homogeneity, and Lyapunov methods for both finite-dimensional and infinite-dimensional systems.

• Chapter 1. Introduction.- Chapter 2. Finite-Dimensional Dynamical Systems.- Chapter 3. Stability and Robustness.- Chapter 4. Method of Lyapunov Function.- Chapter 5. Linear Dilation in Euclidean Space.- Chapter 6. Finite-dimensional Homogeneous Mappings.- Chapter 7. Analysis of Homogeneous Systems.- Chapter 8. Discretization of Homogeneous Systems.- Chapter 9. Homogeneous Stabilization of Linear Plant.- Chapter 10. Digitization of Homogeneous Control.- Chapter 11. Upgrading Linear Controller to Homogeneous Feedback.- Chapter 12. Safety-Critical Homogeneous Systems.- Chapter 13. Homogeneous Optimal Control.- Chapter 14. Homogeneous State Estimation.- Chapter 15. Homogeneous Control of Nonlinear Plants.- Chapter 16. Homogeneous Artificial Neural Network.- Chapter 17. Homogeneity in Multi-Agent Systems.- Appendix.