Stabilizability and stable-proper factorizations for linear time-varying systems
SIAM Journal on Control and Optimization
Almost sure and moments stability of jump linear systems
Systems & Control Letters
Gain scheduling via linear fractional transformations
Systems & Control Letters
NP-Hardness of Some Linear Control Design Problems
SIAM Journal on Control and Optimization
Lie-Algebraic Stability Criteria for Switched Systems
SIAM Journal on Control and Optimization
Global Optimization with Polynomials and the Problem of Moments
SIAM Journal on Optimization
An Explicit Equivalent Positive Semidefinite Program for Nonlinear 0-1 Programs
SIAM Journal on Optimization
An Elementary Counterexample to the Finiteness Conjecture
SIAM Journal on Matrix Analysis and Applications
Stabilization of LPV Systems: State Feedback, State Estimation, and Duality
SIAM Journal on Control and Optimization
Information and Computation
Survey A survey of computational complexity results in systems and control
Automatica (Journal of IFAC)
Brief paper: Almost sure exponential stabilisation of stochastic systems by state-feedback control
Automatica (Journal of IFAC)
Brief paper: A subband coding approach to control under limited data rates and message losses
Automatica (Journal of IFAC)
Uniform Consensus among Self-driven Particles
HSCC '09 Proceedings of the 12th International Conference on Hybrid Systems: Computation and Control
H∞filtering of networked systems with time-varying sampling rates
ACC'09 Proceedings of the 2009 conference on American Control Conference
Automatica (Journal of IFAC)
Analysis of the joint spectral radius via lyapunov functions on path-complete graphs
Proceedings of the 14th international conference on Hybrid systems: computation and control
Joint synthesis of switching and feedback for linear systems in discrete time
Proceedings of the 14th international conference on Hybrid systems: computation and control
Automatica (Journal of IFAC)
On stabilization of switching linear systems
Automatica (Journal of IFAC)
| Hi-index | 22.16 |
The uniform stability of discrete-time switched linear systems, possibly with a strongly connected switching path constraint, and the existence of finite-path-dependent dynamic output feedback controllers uniformly stabilizing such a system are both shown to be characterized by the existence of a finite-dimensional feasible system of linear matrix inequalities. This characterization is based on the observation that a linear time-varying system is uniformly stable only if there exists a finite-path-dependent quadratic Lyapunov function. The synthesis of a uniformly stabilizing controller is done without conservatism by solving any feasible system of linear matrix inequalities among an increasing family of systems of linear matrix inequalities. The result carries over to the almost sure uniform stabilization of Markovian jump linear systems.