A Formal Proof in Coq of LaSalle's Invariance Principle

In a modern formulation the proof makes use of shape invariance and SUSY QM arguments associated to singular Darboux-B¨ acklund Transformations (DBT) built from excited eigenstates..

Those two results together with the bounded law of the iterated logarithm of Dedecker, Gou¨ezel and Merlev`ede (2010) readily give the almost sure invariance principle in the

Key words: quenched central limit theorem, weak invariance principle, strong mixing, Markov chains.. Mathematical Subject Classification (2010): 60F05,

Therefore, Item 1 of Theorem 4.1 follows from the weak invariance principle for partial sums of stationary multivariate martingale differences in L 2 ( R m ) (see [4] for the

Section III first formulates the problem of output feedback event-triggered control of uncertain linear systems and then develops a dedicated stability analysis employing the

Key words: Nonlinear system, Fractional derivative, Integral equations, Blow up time, Laplace transform.. 2010 MSC: 26A33,

Ramis proved also a factorization theorem of formal solutions (J.-P. 237) which implies that every formal power series / solution of a linear meromorphic differential equation can

Thus we replace the equation of motions (mathematically vector fields on manifold) with groups of symmetry and their Lie-algebras, the topological properties of