this paper presents the basic concepts of stability in fuzzy linguistic models. theauthors have proposed a criterion for bibo stability analysis of fuzzy linguistic modelsassociated to linear time invariant systems [25]-[28]. this paper presents the basic concepts ofstability in the general nonlinear and linear systems. this stability analysis method is verifiedusing a benchmark system analysis.

Multiple model approaches to the control of complex dynamical systems are attractive because the local models can be simple and intuitive, and global behavior can be analyzed in terms of transitions among local operating regions. In this paper, we argue that the use of qualitative models further improves the strengths of the multiple model approach by allowing each local model to describe a lar...

The paper addresses the effect of interactions on the performance of decentralized control systems. Most existing tools for analyzing the effect of interactions assume perfect control up to the system bandwidth, and furthermore neglect the phase contributions from subsystem interactions. Here we show that for most systems, and in particular large scale systems, the assumption of perfect control...

Embedded systems possess a hybrid structure, combining continuous-variable dynamics and logical decision-making. We study such real-world hybrid control systems and introduce a mathematical model of them. Then, we develop tools for analyzing their stability. Finally, we review the theory of optimal hybrid control and present algorithms for synthesizing optimal hybrid control systems.

The reduction of dynamic systems has a rich history, with many important applications related to stability, control and verification. Reduction of nonlinear systems is typically performed in an “exact” manner – as is the case with mechanical systems with symmetry – which, unfortunately, limits the type of systems to which it can be applied. The goal of this paper is to consider a more general f...

in this paper, a consistent pattern with the optimal coordinated design of pss and sssc controller to improve the damping of low frequency oscillations is shown. in this design, sensing and signal transmission time delays are considered as effectiveness parameters. the design problem has been considered an optimization problem and biogeography-based optimization (bbo) algorithm is used for sear...

in this paper, an observer based fuzzy adaptive controller (fac) is designed fora class of large scale systems with non-canonical non-affine nonlinear subsystems. it isassumed that functions of the subsystems and the interactions among subsystems areunknown. by constructing a new class of state observer for each follower, the proposedconsensus control method solves the problem of unmeasured sta...

We consider an open problem on the stability of nonlinear nilpotent switched systems posed by Daniel Liberzon. Partial solutions to this problem were obtained as corollaries of global nice reachability results for nilpotent control systems. The global structure is crucial in establishing stability. We show that nice reachability analysis may be reduced to the reachability analysis of a specific...

This paper proposes several Converse Lyapunov Theorems for nonlinear dynamical systems defined on smooth connected Riemannian manifolds and characterizes properties of corresponding Lyapunov functions in a normal neighborhood of an equilibrium. We extend the methods of constructing of Lyapunov functions for ordinary differential equations on R to dynamical systems defined on Riemannian manifold...