Robust and optimal control
Piecewise Lyapunov functions for robust stability of linear time-varying systems
Systems & Control Letters
Robust Control: The Parametric Approach
Robust Control: The Parametric Approach
Control Theory and Design
Stability margin of two-dimensional continuous systems
IEEE Transactions on Signal Processing
A dilated LMI approach to robust performance analysis of linear time-invariant uncertain systems
Automatica (Journal of IFAC)
Original method for stability analysis of mechatronic systems with asynchronous machines
WSEAS Transactions on Systems and Control
Structural properties of linear generalized systems
WSEAS Transactions on Systems and Control
A study of the observability of multidimensional hybrid linear systems
WSEAS Transactions on Systems and Control
Diagonally stable tridiagonal switched linear systems
WSEAS Transactions on Mathematics
Stabilization of linear time-varying uncertain delay systems with double triangular configuration
WSEAS Transactions on Systems and Control
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New sufficient conditions to test stability of 2-D linear continuos-time systems described by Roesser model with polytopic uncertainty are presented in this paper. Robust stability is guaranteed by the existence of a parameter-dependent Lyapunov function obtained from the feasibility of a set of Linear Matrix Inequalities(LMIs), formulated at the vertices of the uncertainty polytope. Two conditions are presented, and the results are compared with the analysis based on quadratic stability (same Lyapunov function for the entire set of uncertainties). Several examples are presented to illustrate the results.