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In this paper, the problem of robust control for a class of continuous-time system with state-dependent polytopic uncertainties is investigated. The uncertainties of the underlying system are described by two state-dependent polytopic uncertain parameter vectors which are involved in the system state matrix and the control matrix, respectively. A non-quadratic Lyapunov function is used to reduce the...
In this paper, the problems of robust stability and stabilization are investigated for a class of continuous-time uncertain systems. The uncertainties in the model are state-dependent and belong to a polytopic convex set, as can be found in many electronic circuits and some other applications. The global asymptotic stability conditions for such systems are first established by the classic common quadratic...
The paper is concerned with the problem of robust filtering for a class of systems with state-dependent uncertainties and energy-bounded disturbance. The state-dependent uncertainties can more precisely describe many practical dynamic systems with parameters varying with system states, such as spring stiffness, nonlinear resistor and friction coefficient. A non-quadratic Lyapunov function is adopted,...
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