Control Theory

More specific information is included in each subfield.

Subfields and Concepts[]

See Category:Control Theory for some of its subfields.

Linear Dynamical Systems / Linear Systems Theory
- Time Series Model
Nonlinear Dynamical Systems / Nonlinear Systems Theory
- Volterra Series Model
- Nonlinear Autoregressive Moving Average (NARMA) Model
- Recurrent Neural Network (RNN)
Random Dynamical Systems
Stochastic Dynamical Systems
Graph Dynamical Systems
- Sequential Dynamical Systems (e.g. Boolean Network)
- Generalized Cellular Automata
Complex Networks and Graph Theory
- Boolean Network
- Small-World Network
- Watts–Strogatz Model
- Erdos–Renyi Model
- Barabasi–Albert Model
Hamiltonian Dynamics
Lagrangian Dynamics
Langevin Dynamics
Brownian Dynamics
Relativistic Dynamics
Nonholonomic Dynamics/ Nonholonomic Dynamical System
Topological Dynamics
Optimal Control
- Lyapunov Optimization
- Stochastic Control / Stochastic Optimal Control
- Deterministic Optimal Control
Robust Control
Nonlinear Control‎
Adaptive Control
Model Predictive Control
Complex Systems
- Complex Adaptive Systems
Cellular Automata
Chaos Theory / Chaotic Maps
- Coupled Map Lattice
Ergodic Theory
Estimation Theory / System Identification / Adaptive Filter Theory
Filter Theory
Probability Theory
Decision Theory
Stability Theory
Realization Theory
Variational Analysis‎
- Calculus of variations
- Lagrange multipliers
Controllability and Reachability
Observability / Constructibility

See Further Reading for more books.

Sayama, H. (2015). Introduction to the Modeling and Analysis of Complex Systems. Open SUNY Textbooks.
Estrada, E. (2011). The Structure of Complex Networks: Theory and Applications. Oxford University Press.
Gros, C. (2010).Complex and Adaptive Dynamical Systems: A Primer. 4th Ed. Springer.
Boccara, N. (2010). Modeling Complex Systems. 2nd Ed. Springer.
Lewis, T. G. (2009). Network Science: Theory and Applications. John Wiley & Sons.
Doyle, J. C., Francis, B. A., & Tannenbaum, A. R. (2009). Feedback control theory. Dover.
Åström, K. J., & Wittenmark, B. (2008). Adaptive control. Dover.
Allouche, J. P., Courbage, M., & Skordev, G. (2000). Notes on cellular automata. (link)
Sastry, S. S. (1999). Nonlinear systems: analysis, stability, and control. Springer Science & Business Media.
Henson, M. A., & Seborg, D. E. (1997). Nonlinear process control. Prentice Hall PTR.
Vaccaro, R. J. (1995). Digital control: a state-space approach. McGraw-Hill.
Isidori, A. (1995). Nonlinear control systems. Springer Science & Business Media.
Stengel, Robert F. (1994). Optimal control and estimation. Dover.
Stengel Robert, F. (1986). Stochastic optimal control: theory and application. Wiley-Interscience.
Luenberger, D. G. (1979). Introduction to dynamic systems. John Wiley & Sons.
Kirk, D. E. (1970). Optimal control theory: an introduction. Dover.