Kronecker products and the second method of Lyapunov
โ Scribed by Richard Bellman
- Publisher
- John Wiley and Sons
- Year
- 1959
- Tongue
- English
- Weight
- 117 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0025-584X
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๐ SIMILAR VOLUMES
The paper is concerned with the stability of the zero solution of the impulsive system method is used as a tool in obtaining the criteria for stability, asymptotic stability, and instability of the trivial solution.
By means of piecewise continuous functions which are analogues of Lyapunov's functions, sufficient conditions are obtained for the existence of integral manifolds for impulsive differential-difference equations with variable impulsive perturbations.
We introduce a new family of \(\mathbb{Z}\) bases for the ring of \(S_{n}\) characters and give their transition matrices explicitly. Applying one of these bases, we introduce a recursive formula for the Kronecker product of two characters. Another application is a sufficient condition for the vanis