For a class of nonlinear systems having triangular structure, we provide explicit formulas for feedback controllers, that exhibit global stabilization. The global part of our analysis is mainly based on a version of Sontag's input-to-state-stability property, and constitutes a generalization of prev
Numerical stability of a block triangular expansion for a class of linear systems
β Scribed by G.V. Savinov
- Publisher
- Elsevier Science
- Year
- 1978
- Weight
- 328 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0041-5553
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π SIMILAR VOLUMES
The stability of the solutions of a certain class of non-linear systems is considered in the first approximation. The method of Lyapunov functions is used to obtain the sufficient conditions for stability with respect to all the variables and asymptotic stability with respect to part of lhe variable
## Sufficient conditions are obtained lo guarantee the asymptotic stability of a class of non-linear singularly perturbed systems. A procedure for consrructing a Lyapunov function for such a class of systems is given, and a clearly defined domain of attraction of the equilibrium is obtained. A sta