A universal construction of Artstein's theorem on nonlinear stabilization
Systems & Control Letters
A partial differential inequality for dissipative nonlinear systems
Systems & Control Letters
Inverse Optimality in Robust Stabilization
SIAM Journal on Control and Optimization
Output-to-state stability and detectability of nonlinear systems
Systems & Control Letters
Comments on integral variants of ISS
Systems & Control Letters
Robust stabilization of the angular velocity of a rigid body
Systems & Control Letters
Global L2-gain design for a class of nonlinear systems
Systems & Control Letters
Guaranteed robustness bounds for matched-disturbance nonlinear systems
Automatica (Journal of IFAC)
| Hi-index | 22.15 |
In this work, a notion of generalized L"2-gain for nonlinear systems, where the gain is considered as a function of the state instead of a (global) constant, is presented. This new notion seems to be adequate to characterize the gain properties of several nonlinear systems which do not possess a uniform L"2-gain property (i.e. the L"2-gain depends on the operating point). Moreover, a notion of practical L"2-gain attenuation, which extends the standard definition and parallels (mutatae mutandis) the concepts of practical stability, is also proposed.