  Recent employments of SMT solvers within the Lyapunov function synthesis
provided effective tools for automated construction of Lyapunov functions
alongside with sound computer-assisted certificates. The main benefit of the
suggested approach is the formal correctness and elimination of the numerical
uncertainty. In the present work, we extend the SMT-based synthesis approach
for wider classes of continuous and discrete-time systems. Additionally, we
address constructions of Lyapunov functions for state-dependent switching
systems. We illustrate our approach by means of various examples from the
control systems literature.

Systems and Control;Systems and Control