Control of nonlinear large-scale and multi-agent systems

The project deals with design of novel methods for control of large-scale and multi-agent systems in presence of nonlinearities, quantizations and time delay, with a focus on systems controlled by communication networks. A special attention is paid to systems composed of identical subsystems. To derive the results, methods based on convex optimization (linear matrix inequalities, sum-of-squaes polynomials) are used in connection with methods of nonlinear control, e.g. exact feedback linearization. Results will be presented in form of exactly proven mathematical theorems, the algorithms will be verified using suitable examples, the developed software will be documented.