Computing closed form solutions of first order ODEs using the Prelle-Singer procedure
Journal of Symbolic Computation
The algorithmic analysis of hybrid systems
Theoretical Computer Science - Special issue on hybrid systems
Modern Control Systems
The d/dt Tool for Verification of Hybrid Systems
CAV '02 Proceedings of the 14th International Conference on Computer Aided Verification
Safety verification of hybrid systems by constraint propagation-based abstraction refinement
ACM Transactions on Embedded Computing Systems (TECS)
MetiTarski: An Automatic Prover for the Elementary Functions
Proceedings of the 9th AISC international conference, the 15th Calculemas symposium, and the 7th international MKM conference on Intelligent Computer Mathematics
Approximate reachability for linear systems
HSCC'03 Proceedings of the 6th international conference on Hybrid systems: computation and control
Extending a resolution prover for inequalities on elementary functions
LPAR'07 Proceedings of the 14th international conference on Logic for programming, artificial intelligence and reasoning
PHAVer: algorithmic verification of hybrid systems past hytech
HSCC'05 Proceedings of the 8th international conference on Hybrid Systems: computation and control
Towards flight control verification using automated theorem proving
NFM'11 Proceedings of the Third international conference on NASA Formal methods
Transcendental inductive invariants generation for non-linear differential and hybrid systems
Proceedings of the 15th ACM international conference on Hybrid Systems: Computation and Control
Delta-Decidability over the Reals
LICS '12 Proceedings of the 2012 27th Annual IEEE/ACM Symposium on Logic in Computer Science
Computation in real closed infinitesimal and transcendental extensions of the rationals
CADE'13 Proceedings of the 24th international conference on Automated Deduction
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MetiTarski, an automatic proof procedure for inequalities on elementary functions, can be used to verify control and hybrid systems. We perform a stability analysis of control systems using Nichols plots, presenting an inverted pendulum and a magnetic disk drive reader system. Given a hybrid systems specified by a system of differential equations, we use Maple to obtain a problem involving the exponential and trigonometric functions, which MetiTarski can prove automatically.