We introduce the concept of a Lyapunov game as a subclass of strictly dominated games and potential games. The advantage of this approach is that every ergodic system (repeated game) can be represented by a Lyapunov-like ...

Lyapunov-based control is an attractive strategy for semi-active vibration control as it has a mathematical basis ensuring stability in the sense of Lyapunov and great flexibility in the design. Unfortunately, that flexibility ...

The furuta pendulum is stabilized using a nonlinear controller, based on a partial feedback linearization. First only the actuated coordinate of the turuta pendulum is linearized. Then, the stabilizing feedback controller ...

This chapter presents the study of the stability theory for generalized ordinary differential equations (ODEs). The results on the stability of the trivial solution in the framework of the generalized ODE are inspired in ...

© 2015 Elsevier B.V. This letter shows an incorrect application of the chain rule for fractional order derivatives reported in paper (Chen et al., 2014). Due to this misleading application, the proof of Theorem 2 and Theorem ...

This letter shows an incorrect application of the chain rule for fractional order derivatives reported in paper (Chen et al., 2014). Due to this misleading application, the proof of Theorem 2 and Theorem 5 in Chen et ...

Neste trabalho nós tratamos de métodos de resolução da equação de Lyapunov AP+PA^T=-BB^T, com A em R^(nxn) e B em R^(nxm). Num primeiro momento abordamos métodos já conhecidos na literatura como o método ADI (Alternating ...

Neste trabalho apresentam-se condições descritas por desigualdades matriciais lineares, LMIs (do inglês: Linear Matrix Inequalities), para o projeto de controladores robustos para sistemas dinâmicos de ordem α ∈ [0,1). Os ...