PROJECT TITLE :

Stability Preserving Simulations and Bisimulations for Hybrid Systems

ABSTRACT:

Pre-orders and equivalence relations between processes, like simulation and bisimulation, have played a central role in the minimization and abstraction primarily based verification and analysis of discrete-state systems for modal and temporal properties. During this paper, we investigate the pre-orders and equivalence relations on hybrid systems that preserve stability. We initial show that stability with respect to reference trajectories isn't preserved by either the traditional notion of bisimulation or the additional recently proposed stronger notions with additional continuity constraints. We introduce the concept of uniformly continuous simulation and bisimulation—specifically, simulation and bisimulation with some extra uniform continuity conditions on the relation—which will be used to reason concerning stability of trajectories. Finally, we have a tendency to show that uniformly continuous simulations and bisimulations are widely prevalent, by recasting many classical results on proving stability of dynamical and hybrid systems as establishing the existence of a straightforward, obviously stable system that (bi)-simulates the given system through uniformly continuous (bi)-simulations. We tend to conjointly discuss briefly a replacement abstraction technique for stability analysis which is based on the foundations developed in the paper.


Did you like this research project?

To get this research project Guidelines, Training and Code... Click Here


PROJECT TITLE : Influence of Compact Memristors’ Stability on Machine Learning ABSTRACT: Memristors are gaining popularity due to their high integration and parallel computation capabilities, which have the potential to accelerate
PROJECT TITLE : A Novel Forbidden-Region-Based Stability Criterion in Modified Sequence-Domain for AC Grid-Converter System ABSTRACT: For an ac grid-converter system, a new forbidden-region-based criterion (N-FRBC) is presented
PROJECT TITLE : Stability-Constrained Adaptive Droop for Power Sharing in AC-MTDC Grids ABSTRACT: Following a (N-1) contingency (e.g., a converter loss), the system planners and operators are concerned about the safety of
PROJECT TITLE : Dynamics and Stability of Meshed Multi terminal HVDC Networks ABSTRACT: In multiterminal HVdc grids, this work explores if an equilibrium point exists, evaluates its uniqueness, and specifies parameters to
PROJECT TITLE : Sliding-Window-Based Real-Time Model Order Reduction for Stability Prediction in Smart Grid ABSTRACT: In this paper, a new real-time model order reduction method for smart grid stability prediction is presented.

Ready to Complete Your Academic MTech Project Work In Affordable Price ?

Project Enquiry