In this article, we propose a new method to obtain feedback controllers of an unknown dynamical system directly from noisy input/state data. The key ingredient our design is matrix S-lemma that will be proven in article. We provide both strict and nonstrict versions S-lemma, which are interest their own right. Thereafter, apply these results data-driven control. particular, derive nonconservati...

Modern Logic, forthcoming. 9. K. Lambert, editor. Philosophical Applications of Free Logic. Oxford University Press, Oxford, 1991. 10. Karel Lambert. Nonextensionality. In W. Lenzen, editor, Festschrift fur Franz von Kutschera. de Gruyter, Berlin, 1997. 11. Karel Lambert and Bas van Fraassen. Derivation and Counterexample: An Introduction to Philosophical Logic. Dickenson, Encino, CA, 1972. 12...

We present a type-and-effect system that derives an exceptionannotated type signature for a given term of a simply typed nonstrict functional language with general recursion and a list data type. This signature declares the set of exceptional values that may be present among the values of the term, or produced by terms of function type. Higher-ranked effect polymorphism and effect operators rem...

The construction of strict Lyapunov functions is important for proving stability and robustness properties for nonlinear control systems. In some cases, stabilization problems can be solved with the help of nonstrict Lyapunov functions, which are proper and positive definite functions whose time derivatives are nonpositive along all solutions of the closed loop system. By properness and positiv...