Firstly, by constructing a parameter-dependent Lyapunov function and resorting to the average dwell time approach, sufficient conditions ensuring finite-time boundedness and input-output finite-time stability are established for the augmented filtering error system.
By constructing a parameter-dependent Lyapunov function, two sufficient conditions with less conservativeness are developed, which ensure the stochastic stability and the strictly (Q-S-R -γ-dissipative performance of the estimation error system.
By constructing a parameter-dependent common Lyapunov function, it is proved that under suitable conditions on communication, the multi-agent system will reach consensus under directed fixed topology no matter with a leader or without.
By constructing a new parameter-dependent Lyapunov Krasovskii function and introducing some free weighting matrices, some novel delay-dependent stability and stabilization conditions are obtained.
By constructing a mode-dependent and parameter-dependent Lyapunov Krasovskii functional based on delay-partitioning approach, we propose a sufficient condition for the existence of a partially mode-dependent dissipative filter, which ensures that the resulting filtering error system is stochastically stable and dissipative.
A dynamic simulation program generates all required outputs based on input parameters by constructing a generic building model with different assumptions of internal loads, ventilation control methods, running periods and weather conditions.
The approach is, essentially, to compute candidate values for our unknown parameters by constructing a Markov chain with an appropriate invariant measure.
We remedy this situation by constructing a general model (features and parameters described in Figure 1) for the population dynamics of the bottleneck, able to describe the range of proposed mechanisms existing in the literature.
We confirmed the phylogenetic analysis by constructing a neighbour-joining tree with Kimura two-parameter distances.
By constructing a new Lyapunov-Krasovskii functional (LKF) with two free parameters, stability criteria are obtained.
