Stability is a global property of a system. It is concerned with the behaviour of whole systems over indefinitely long periods of time, for all admissible inputs and uncertainties. Stability and instability are ultimately topological properties. They depend on the topology of the space defined by the equations that govern the system. It follows that that instability is not linear. It is possibl...

Louvain, Belgium, in 1977 and the Ph.D. degree in mechanical engineering from Columbia University, New York, in 1981. In 1983, he joined the Aerospace Engineering Department of the University of Michigan, where he is currently a professor, with a joint appointment in the Department of Electrical Engineering and Computer Science. His research and teaching interests are in the areas of dynamic sy...

In this monograph we consider the class of continuous-time positive switched systems. We discuss several problems, including stability, performance analysis, stabilization via switching control, and optimization. The monograph starts with a chapter where several application examples are provided, to motivate the interest in this class of systems. The rest of the monograph is dedicated to the th...

In this paper we address the problem of optimal switching for switched linear systems. The uniqueness of our approach lies in describing the switching action by multiple control inputs. This allows us to embed the switched system in a larger family of systems and apply Pontryagin’s Minimum Principle for solving the optimal control problem. This approach imposes no restriction on the switching s...

In this article, an optimal timing fault tolerant control strategy is addressed for switched stochastic systems with unknown drift each switching point. The proposed controllers in existing schemes are not directly aimed at the system, which affects performance. A cost functional system state information and variable constructed. By solving time criterion, can accommodate fault. variational tec...

In this paper we give a necessary and sufficient condition for the mean stability of switched linear systems having a Markov regenerative process as its switching signal. This class of switched linear systems, which we call Markov regenerative switched linear systems, includes various switched linear systems including Markov jump linear systems and semi-Markov jump linear systems. We show that ...

in this paper, a new topology for boost z-source inverterbased on switched-inductor cell is proposed. the operating modes of the proposed inverter are analyzed and also a suitable control method to generate the trigger signals of the inverter is presented. having a common earth between the input source and inverter and capability to generate a higher voltage gain by using lower amounts of the d...