Stability of adaptive systems: passivity and averaging analysis
Stability of adaptive systems: passivity and averaging analysis
Real and complex analysis, 3rd ed.
Real and complex analysis, 3rd ed.
Observability and Observers for Nonlinear Systems
SIAM Journal on Control and Optimization
Mathematical control theory: deterministic finite dimensional systems (2nd ed.)
Mathematical control theory: deterministic finite dimensional systems (2nd ed.)
The Dynamics of Control
Stability of Planar Switched Systems: The Linear Single Input Case
SIAM Journal on Control and Optimization
Brief On exponential stability of nonlinear time-varying differential equations
Automatica (Journal of IFAC)
| Hi-index | 0.00 |
We consider control systems of the type $\dot{x}=Ax+\alpha(t)bu$, where $u\in\mathbf{R}$, $(A,b)$ is a controllable pair, and $\alpha$ is an unknown measurable time-varying signal with values in $[0,1]$ satisfying a persistent excitation condition of the type $\int_t^{t+T}\alpha(s)ds\geq\mu$ for every $t\geq0$, with $0